---
_id: '51208'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Approximation of subdifferentials
    is one of the main tasks when computing descent directions for nonsmooth optimization
    problems. In this article, we propose a bisection method for weakly lower semismooth
    functions which is able to compute new subgradients that improve a given approximation
    in case a direction with insufficient descent was computed. Combined with a recently
    proposed deterministic gradient sampling approach, this yields a deterministic
    and provably convergent way to approximate subdifferentials for computing descent
    directions.</jats:p>
author:
- first_name: Bennet
  full_name: Gebken, Bennet
  id: '32643'
  last_name: Gebken
citation:
  ama: Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth
    optimization. <i>Computational Optimization and Applications</i>. Published online
    2024. doi:<a href="https://doi.org/10.1007/s10589-024-00552-0">10.1007/s10589-024-00552-0</a>
  apa: Gebken, B. (2024). A note on the convergence of deterministic gradient sampling
    in nonsmooth optimization. <i>Computational Optimization and Applications</i>.
    <a href="https://doi.org/10.1007/s10589-024-00552-0">https://doi.org/10.1007/s10589-024-00552-0</a>
  bibtex: '@article{Gebken_2024, title={A note on the convergence of deterministic
    gradient sampling in nonsmooth optimization}, DOI={<a href="https://doi.org/10.1007/s10589-024-00552-0">10.1007/s10589-024-00552-0</a>},
    journal={Computational Optimization and Applications}, publisher={Springer Science
    and Business Media LLC}, author={Gebken, Bennet}, year={2024} }'
  chicago: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling
    in Nonsmooth Optimization.” <i>Computational Optimization and Applications</i>,
    2024. <a href="https://doi.org/10.1007/s10589-024-00552-0">https://doi.org/10.1007/s10589-024-00552-0</a>.
  ieee: 'B. Gebken, “A note on the convergence of deterministic gradient sampling
    in nonsmooth optimization,” <i>Computational Optimization and Applications</i>,
    2024, doi: <a href="https://doi.org/10.1007/s10589-024-00552-0">10.1007/s10589-024-00552-0</a>.'
  mla: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling
    in Nonsmooth Optimization.” <i>Computational Optimization and Applications</i>,
    Springer Science and Business Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s10589-024-00552-0">10.1007/s10589-024-00552-0</a>.
  short: B. Gebken, Computational Optimization and Applications (2024).
date_created: 2024-02-07T07:23:23Z
date_updated: 2024-02-08T08:05:54Z
department:
- _id: '101'
doi: 10.1007/s10589-024-00552-0
keyword:
- Applied Mathematics
- Computational Mathematics
- Control and Optimization
language:
- iso: eng
publication: Computational Optimization and Applications
publication_identifier:
  issn:
  - 0926-6003
  - 1573-2894
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A note on the convergence of deterministic gradient sampling in nonsmooth optimization
type: journal_article
user_id: '32643'
year: '2024'
...
---
_id: '52233'
abstract:
- lang: eng
  text: ELDIRK methods are defined to have an <jats:italic>Explicit Last</jats:italic>
    stage in the general Butcher array of <jats:italic>Diagonal Implicit Runge-Kutta</jats:italic>
    methods, with the consequence, that no additional system of equations must be
    solved, compared to the embedded RK method. Two general formulations for second-
    and third-order ELDIRK methods have been obtained recently in Mahnken [21] with
    specific schemes,  e.g. for the embedded implicit Euler method, the embedded trapezoidal-rule
    and the embedded Ellsiepen method. In the first part of this paper, we investigate
    some general stability characteristics of ELDIRK methods, and it will be shown
    that the above specific RK schemes are not A-stable. Therefore, in the second
    part, the above-mentioned general formulations are used for further stability
    investigations, with the aim to construct new second- and third-order ELDIRK methods
    which simultaneously are A-stable. Two numerical examples are concerned with the
    curing for a thermosetting material and phase-field RVE modeling for crystallinity
    and orientation. The numerical results confirm the theoretical results on convergence
    order and stability.
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Hendrik
  full_name: Westermann, Hendrik
  id: '60816'
  last_name: Westermann
  orcid: 0000-0002-5034-9708
citation:
  ama: Mahnken R, Westermann H. Construction of A-stable explicit last-stage diagonal
    implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>. Published
    online 2024. doi:<a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>
  apa: Mahnken, R., &#38; Westermann, H. (2024). Construction of A-stable explicit
    last-stage diagonal implicit Runge–Kutta (ELDIRK) methods. <i>Computational Mechanics</i>.
    <a href="https://doi.org/10.1007/s00466-024-02442-y">https://doi.org/10.1007/s00466-024-02442-y</a>
  bibtex: '@article{Mahnken_Westermann_2024, title={Construction of A-stable explicit
    last-stage diagonal implicit Runge–Kutta (ELDIRK) methods}, DOI={<a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>},
    journal={Computational Mechanics}, publisher={Springer Science and Business Media
    LLC}, author={Mahnken, Rolf and Westermann, Hendrik}, year={2024} }'
  chicago: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit
    Last-Stage Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>,
    2024. <a href="https://doi.org/10.1007/s00466-024-02442-y">https://doi.org/10.1007/s00466-024-02442-y</a>.
  ieee: 'R. Mahnken and H. Westermann, “Construction of A-stable explicit last-stage
    diagonal implicit Runge–Kutta (ELDIRK) methods,” <i>Computational Mechanics</i>,
    2024, doi: <a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>.'
  mla: Mahnken, Rolf, and Hendrik Westermann. “Construction of A-Stable Explicit Last-Stage
    Diagonal Implicit Runge–Kutta (ELDIRK) Methods.” <i>Computational Mechanics</i>,
    Springer Science and Business Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s00466-024-02442-y">10.1007/s00466-024-02442-y</a>.
  short: R. Mahnken, H. Westermann, Computational Mechanics (2024).
date_created: 2024-03-03T13:23:28Z
date_updated: 2024-03-19T12:14:07Z
department:
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-024-02442-y
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta
  (ELDIRK) methods
type: journal_article
user_id: '335'
year: '2024'
...
---
_id: '52726'
abstract:
- lang: eng
  text: Heteroclinic structures organize global features of dynamical systems. We
    analyse whether heteroclinic structures can arise in network dynamics with higher-order
    interactions which describe the nonlinear interactions between three or more units.
    We find that while commonly analysed model equations such as network dynamics
    on undirected hypergraphs may be useful to describe local dynamics such as cluster
    synchronization, they give rise to obstructions that allow to design of heteroclinic
    structures in phase space. By contrast, directed hypergraphs break the homogeneity
    and lead to vector fields that support heteroclinic structures.
article_type: original
author:
- first_name: Christian
  full_name: Bick, Christian
  last_name: Bick
- first_name: Sören
  full_name: von der Gracht, Sören
  id: '97359'
  last_name: von der Gracht
  orcid: 0000-0002-8054-2058
citation:
  ama: Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems
    with higher-order interactions. <i>Journal of Complex Networks</i>. 2024;12(2).
    doi:<a href="https://doi.org/10.1093/comnet/cnae009">10.1093/comnet/cnae009</a>
  apa: Bick, C., &#38; von der Gracht, S. (2024). Heteroclinic dynamics in network
    dynamical systems with higher-order interactions. <i>Journal of Complex Networks</i>,
    <i>12</i>(2). <a href="https://doi.org/10.1093/comnet/cnae009">https://doi.org/10.1093/comnet/cnae009</a>
  bibtex: '@article{Bick_von der Gracht_2024, title={Heteroclinic dynamics in network
    dynamical systems with higher-order interactions}, volume={12}, DOI={<a href="https://doi.org/10.1093/comnet/cnae009">10.1093/comnet/cnae009</a>},
    number={2}, journal={Journal of Complex Networks}, publisher={Oxford University
    Press (OUP)}, author={Bick, Christian and von der Gracht, Sören}, year={2024}
    }'
  chicago: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network
    Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i>
    12, no. 2 (2024). <a href="https://doi.org/10.1093/comnet/cnae009">https://doi.org/10.1093/comnet/cnae009</a>.
  ieee: 'C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical
    systems with higher-order interactions,” <i>Journal of Complex Networks</i>, vol.
    12, no. 2, 2024, doi: <a href="https://doi.org/10.1093/comnet/cnae009">10.1093/comnet/cnae009</a>.'
  mla: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network
    Dynamical Systems with Higher-Order Interactions.” <i>Journal of Complex Networks</i>,
    vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:<a href="https://doi.org/10.1093/comnet/cnae009">10.1093/comnet/cnae009</a>.
  short: C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
date_created: 2024-03-22T09:04:57Z
date_updated: 2024-03-22T09:11:53Z
ddc:
- '510'
department:
- _id: '101'
doi: 10.1093/comnet/cnae009
external_id:
  arxiv:
  - '2309.02006'
file:
- access_level: closed
  content_type: application/pdf
  creator: svdg
  date_created: 2024-03-22T09:06:07Z
  date_updated: 2024-03-22T09:06:07Z
  file_id: '52728'
  file_name: heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf
  file_size: 649155
  relation: main_file
  success: 1
file_date_updated: 2024-03-22T09:06:07Z
has_accepted_license: '1'
intvolume: '        12'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- Control and Optimization
- Management Science and Operations Research
- Computer Networks and Communications
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf
oa: '1'
publication: Journal of Complex Networks
publication_identifier:
  issn:
  - 2051-1329
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Heteroclinic dynamics in network dynamical systems with higher-order interactions
type: journal_article
user_id: '97359'
volume: 12
year: '2024'
...
---
_id: '49905'
abstract:
- lang: eng
  text: "For 0 ≤ t ≤ r let m(t, r) be the maximum number s such that every t-edge-connected
    r-graph has s pairwise disjoint perfect matchings. There are only a few values
    of m(t, r) known, for instance m(3, 3) = m(4, r) = 1, and m(t, r) ≤ r − 2 for
    all t \x03 = 5,\r\nand m(t, r) ≤ r − 3 if r is even. We prove that m(2l, r) ≤
    3l − 6 for every l ≥ 3 and r ≥ 2l."
author:
- first_name: Yulai
  full_name: Ma, Yulai
  id: '92748'
  last_name: Ma
- first_name: Davide
  full_name: Mattiolo, Davide
  last_name: Mattiolo
- first_name: Eckhard
  full_name: Steffen, Eckhard
  id: '15548'
  last_name: Steffen
  orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
  full_name: Wolf, Isaak Hieronymus
  id: '88145'
  last_name: Wolf
citation:
  ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Edge-Connectivity and Pairwise Disjoint
    Perfect Matchings in Regular Graphs. <i>Combinatorica</i>. 2024;44:429-440. doi:<a
    href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>
  apa: Ma, Y., Mattiolo, D., Steffen, E., &#38; Wolf, I. H. (2024). Edge-Connectivity
    and Pairwise Disjoint Perfect Matchings in Regular Graphs. <i>Combinatorica</i>,
    <i>44</i>, 429–440. <a href="https://doi.org/10.1007/s00493-023-00078-9">https://doi.org/10.1007/s00493-023-00078-9</a>
  bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2024, title={Edge-Connectivity and Pairwise
    Disjoint Perfect Matchings in Regular Graphs}, volume={44}, DOI={<a href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>},
    journal={Combinatorica}, publisher={Springer Science and Business Media LLC},
    author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus},
    year={2024}, pages={429–440} }'
  chicago: 'Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
    “Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.”
    <i>Combinatorica</i> 44 (2024): 429–40. <a href="https://doi.org/10.1007/s00493-023-00078-9">https://doi.org/10.1007/s00493-023-00078-9</a>.'
  ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Edge-Connectivity and Pairwise
    Disjoint Perfect Matchings in Regular Graphs,” <i>Combinatorica</i>, vol. 44,
    pp. 429–440, 2024, doi: <a href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>.'
  mla: Ma, Yulai, et al. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings
    in Regular Graphs.” <i>Combinatorica</i>, vol. 44, Springer Science and Business
    Media LLC, 2024, pp. 429–40, doi:<a href="https://doi.org/10.1007/s00493-023-00078-9">10.1007/s00493-023-00078-9</a>.
  short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 44 (2024) 429–440.
date_created: 2023-12-20T10:31:27Z
date_updated: 2024-03-22T12:11:35Z
department:
- _id: '542'
doi: 10.1007/s00493-023-00078-9
intvolume: '        44'
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 429-440
publication: Combinatorica
publication_identifier:
  issn:
  - 0209-9683
  - 1439-6912
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs
type: journal_article
user_id: '15540'
volume: 44
year: '2024'
...
---
_id: '52958'
author:
- first_name: Christoph
  full_name: Boeddeker, Christoph
  id: '40767'
  last_name: Boeddeker
- first_name: Aswin Shanmugam
  full_name: Subramanian, Aswin Shanmugam
  last_name: Subramanian
- first_name: Gordon
  full_name: Wichern, Gordon
  last_name: Wichern
- first_name: Reinhold
  full_name: Haeb-Umbach, Reinhold
  id: '242'
  last_name: Haeb-Umbach
- first_name: Jonathan
  full_name: Le Roux, Jonathan
  last_name: Le Roux
citation:
  ama: 'Boeddeker C, Subramanian AS, Wichern G, Haeb-Umbach R, Le Roux J. TS-SEP:
    Joint Diarization and Separation Conditioned on Estimated Speaker Embeddings.
    <i>IEEE/ACM Transactions on Audio, Speech, and Language Processing</i>. 2024;32:1185-1197.
    doi:<a href="https://doi.org/10.1109/taslp.2024.3350887">10.1109/taslp.2024.3350887</a>'
  apa: 'Boeddeker, C., Subramanian, A. S., Wichern, G., Haeb-Umbach, R., &#38; Le
    Roux, J. (2024). TS-SEP: Joint Diarization and Separation Conditioned on Estimated
    Speaker Embeddings. <i>IEEE/ACM Transactions on Audio, Speech, and Language Processing</i>,
    <i>32</i>, 1185–1197. <a href="https://doi.org/10.1109/taslp.2024.3350887">https://doi.org/10.1109/taslp.2024.3350887</a>'
  bibtex: '@article{Boeddeker_Subramanian_Wichern_Haeb-Umbach_Le Roux_2024, title={TS-SEP:
    Joint Diarization and Separation Conditioned on Estimated Speaker Embeddings},
    volume={32}, DOI={<a href="https://doi.org/10.1109/taslp.2024.3350887">10.1109/taslp.2024.3350887</a>},
    journal={IEEE/ACM Transactions on Audio, Speech, and Language Processing}, publisher={Institute
    of Electrical and Electronics Engineers (IEEE)}, author={Boeddeker, Christoph
    and Subramanian, Aswin Shanmugam and Wichern, Gordon and Haeb-Umbach, Reinhold
    and Le Roux, Jonathan}, year={2024}, pages={1185–1197} }'
  chicago: 'Boeddeker, Christoph, Aswin Shanmugam Subramanian, Gordon Wichern, Reinhold
    Haeb-Umbach, and Jonathan Le Roux. “TS-SEP: Joint Diarization and Separation Conditioned
    on Estimated Speaker Embeddings.” <i>IEEE/ACM Transactions on Audio, Speech, and
    Language Processing</i> 32 (2024): 1185–97. <a href="https://doi.org/10.1109/taslp.2024.3350887">https://doi.org/10.1109/taslp.2024.3350887</a>.'
  ieee: 'C. Boeddeker, A. S. Subramanian, G. Wichern, R. Haeb-Umbach, and J. Le Roux,
    “TS-SEP: Joint Diarization and Separation Conditioned on Estimated Speaker Embeddings,”
    <i>IEEE/ACM Transactions on Audio, Speech, and Language Processing</i>, vol. 32,
    pp. 1185–1197, 2024, doi: <a href="https://doi.org/10.1109/taslp.2024.3350887">10.1109/taslp.2024.3350887</a>.'
  mla: 'Boeddeker, Christoph, et al. “TS-SEP: Joint Diarization and Separation Conditioned
    on Estimated Speaker Embeddings.” <i>IEEE/ACM Transactions on Audio, Speech, and
    Language Processing</i>, vol. 32, Institute of Electrical and Electronics Engineers
    (IEEE), 2024, pp. 1185–97, doi:<a href="https://doi.org/10.1109/taslp.2024.3350887">10.1109/taslp.2024.3350887</a>.'
  short: C. Boeddeker, A.S. Subramanian, G. Wichern, R. Haeb-Umbach, J. Le Roux, IEEE/ACM
    Transactions on Audio, Speech, and Language Processing 32 (2024) 1185–1197.
date_created: 2024-03-26T16:11:54Z
date_updated: 2025-04-16T10:21:45Z
ddc:
- '000'
department:
- _id: '54'
doi: 10.1109/taslp.2024.3350887
file:
- access_level: open_access
  content_type: application/pdf
  creator: cbj
  date_created: 2025-04-16T10:14:47Z
  date_updated: 2025-04-16T10:21:45Z
  file_id: '59602'
  file_name: main.pdf
  file_size: 3432879
  relation: main_file
- access_level: open_access
  content_type: application/pdf
  creator: cbj
  date_created: 2025-04-16T10:15:08Z
  date_updated: 2025-04-16T10:21:45Z
  file_id: '59603'
  file_name: slides.pdf
  file_size: 2838635
  relation: main_file
- access_level: open_access
  content_type: application/pdf
  creator: cbj
  date_created: 2025-04-16T10:15:22Z
  date_updated: 2025-04-16T10:21:45Z
  file_id: '59604'
  file_name: poster.pdf
  file_size: 2038741
  relation: main_file
file_date_updated: 2025-04-16T10:21:45Z
has_accepted_license: '1'
intvolume: '        32'
keyword:
- Electrical and Electronic Engineering
- Acoustics and Ultrasonics
- Computer Science (miscellaneous)
- Computational Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2303.03849
oa: '1'
page: 1185-1197
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
- _id: '508'
  grant_number: '448568305'
  name: Automatische Transkription von Gesprächssituationen
publication: IEEE/ACM Transactions on Audio, Speech, and Language Processing
publication_identifier:
  issn:
  - 2329-9290
  - 2329-9304
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: 'TS-SEP: Joint Diarization and Separation Conditioned on Estimated Speaker
  Embeddings'
type: journal_article
user_id: '40767'
volume: 32
year: '2024'
...
---
_id: '45971'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>An error estimate
    for a canonical discretization of the harmonic map heat flow into spheres is derived.
    The numerical scheme uses standard finite elements with a nodal treatment of linearized
    unit-length constraints. The analysis is based on elementary approximation results
    and only uses the discrete weak formulation.</jats:p>"
author:
- first_name: Sören
  full_name: Bartels, Sören
  last_name: Bartels
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Zhangxian
  full_name: Wang, Zhangxian
  last_name: Wang
citation:
  ama: Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation
    of the harmonic map heat flow with nodal constraints. <i>IMA Journal of Numerical
    Analysis</i>. Published online 2023. doi:<a href="https://doi.org/10.1093/imanum/drad037">10.1093/imanum/drad037</a>
  apa: Bartels, S., Kovács, B., &#38; Wang, Z. (2023). Error analysis for the numerical
    approximation of the harmonic map heat flow with nodal constraints. <i>IMA Journal
    of Numerical Analysis</i>. <a href="https://doi.org/10.1093/imanum/drad037">https://doi.org/10.1093/imanum/drad037</a>
  bibtex: '@article{Bartels_Kovács_Wang_2023, title={Error analysis for the numerical
    approximation of the harmonic map heat flow with nodal constraints}, DOI={<a href="https://doi.org/10.1093/imanum/drad037">10.1093/imanum/drad037</a>},
    journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
    (OUP)}, author={Bartels, Sören and Kovács, Balázs and Wang, Zhangxian}, year={2023}
    }'
  chicago: Bartels, Sören, Balázs Kovács, and Zhangxian Wang. “Error Analysis for
    the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.”
    <i>IMA Journal of Numerical Analysis</i>, 2023. <a href="https://doi.org/10.1093/imanum/drad037">https://doi.org/10.1093/imanum/drad037</a>.
  ieee: 'S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation
    of the harmonic map heat flow with nodal constraints,” <i>IMA Journal of Numerical
    Analysis</i>, 2023, doi: <a href="https://doi.org/10.1093/imanum/drad037">10.1093/imanum/drad037</a>.'
  mla: Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the
    Harmonic Map Heat Flow with Nodal Constraints.” <i>IMA Journal of Numerical Analysis</i>,
    Oxford University Press (OUP), 2023, doi:<a href="https://doi.org/10.1093/imanum/drad037">10.1093/imanum/drad037</a>.
  short: S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).
date_created: 2023-07-10T12:32:10Z
date_updated: 2024-04-03T09:15:27Z
department:
- _id: '841'
doi: 10.1093/imanum/drad037
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Error analysis for the numerical approximation of the harmonic map heat flow
  with nodal constraints
type: journal_article
user_id: '100441'
year: '2023'
...
---
_id: '53329'
article_number: '103820'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: 'Tao Y, Winkler M. Analysis of a chemotaxis-SIS epidemic model with unbounded
    infection force. <i>Nonlinear Analysis: Real World Applications</i>. 2023;71.
    doi:<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>'
  apa: 'Tao, Y., &#38; Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model
    with unbounded infection force. <i>Nonlinear Analysis: Real World Applications</i>,
    <i>71</i>, Article 103820. <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">https://doi.org/10.1016/j.nonrwa.2022.103820</a>'
  bibtex: '@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic
    model with unbounded infection force}, volume={71}, DOI={<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>},
    number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
    BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic
    Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>
    71 (2023). <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">https://doi.org/10.1016/j.nonrwa.2022.103820</a>.'
  ieee: 'Y. Tao and M. Winkler, “Analysis of a chemotaxis-SIS epidemic model with
    unbounded infection force,” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 71, Art. no. 103820, 2023, doi: <a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>.'
  mla: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic
    Model with Unbounded Infection Force.” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 71, 103820, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.nonrwa.2022.103820">10.1016/j.nonrwa.2022.103820</a>.'
  short: 'Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).'
date_created: 2024-04-07T12:43:49Z
date_updated: 2024-04-07T12:43:53Z
doi: 10.1016/j.nonrwa.2022.103820
intvolume: '        71'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Analysis of a chemotaxis-SIS epidemic model with unbounded infection force
type: journal_article
user_id: '31496'
volume: 71
year: '2023'
...
---
_id: '43105'
article_number: '103868'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Mario
  full_name: Fuest, Mario
  last_name: Fuest
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Masaaki
  full_name: Mizukami, Masaaki
  last_name: Mizukami
citation:
  ama: 'Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis
    systems with spatially heterogeneous logistic source. <i>Nonlinear Analysis: Real
    World Applications</i>. 2023;73. doi:<a href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>'
  apa: 'Black, T., Fuest, M., Lankeit, J., &#38; Mizukami, M. (2023). Possible points
    of blow-up in chemotaxis systems with spatially heterogeneous logistic source.
    <i>Nonlinear Analysis: Real World Applications</i>, <i>73</i>, Article 103868.
    <a href="https://doi.org/10.1016/j.nonrwa.2023.103868">https://doi.org/10.1016/j.nonrwa.2023.103868</a>'
  bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up
    in chemotaxis systems with spatially heterogeneous logistic source}, volume={73},
    DOI={<a href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>},
    number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
    BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami,
    Masaaki}, year={2023} }'
  chicago: 'Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible
    Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic
    Source.” <i>Nonlinear Analysis: Real World Applications</i> 73 (2023). <a href="https://doi.org/10.1016/j.nonrwa.2023.103868">https://doi.org/10.1016/j.nonrwa.2023.103868</a>.'
  ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up
    in chemotaxis systems with spatially heterogeneous logistic source,” <i>Nonlinear
    Analysis: Real World Applications</i>, vol. 73, Art. no. 103868, 2023, doi: <a
    href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>.'
  mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with
    Spatially Heterogeneous Logistic Source.” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 73, 103868, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>.'
  short: 'T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World
    Applications 73 (2023).'
date_created: 2023-03-27T07:25:58Z
date_updated: 2023-03-27T07:27:03Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.nonrwa.2023.103868
intvolume: '        73'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Possible points of blow-up in chemotaxis systems with spatially heterogeneous
  logistic source
type: journal_article
user_id: '23686'
volume: 73
year: '2023'
...
---
_id: '45757'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>Three prominent low order implicit
    time integration schemes are the first order implicit Euler-method, the second
    order trapezoidal rule and the second order Ellsiepen method. Its advantages are
    stability and comparatively low computational cost, however, they require the
    solution of a nonlinear system of equations. This paper presents a general approach
    for the construction of third order Runge–Kutta methods by embedding the above
    mentioned implicit schemes into the class of ELDIRK-methods. These will be defined
    to have an <jats:italic>Explicit Last</jats:italic> stage in the general Butcher
    array of <jats:italic>Diagonal Implicit Runge–Kutta</jats:italic> (DIRK) methods,
    with the consequence, that no additional system of equations must be solved. The
    main results—valid also for non-linear ordinary differential equations—are as
    follows: Two extra function calculations are required in order to embed the implicit
    Euler-method and one extra function calculation is required for the trapezoidal-rule
    and the Ellsiepen method, in order to obtain the third order properties, respectively.
    Two numerical examples are concerned with a parachute with viscous damping and
    a two-dimensional laser beam simulation. Here, we verify the higher order convergence
    behaviours of the proposed new ELDIRK-methods, and its successful performances
    for asymptotically exact global error estimation of so-called reversed embedded
    RK-method are shown.\r\n</jats:p>"
author:
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Mahnken R. Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
    of lower order implicit time integration schemes for local and global error estimation.
    <i>Computational Mechanics</i>. Published online 2023. doi:<a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>
  apa: Mahnken, R. (2023). Derivation of third order Runge–Kutta methods (ELDIRK)
    by embedding of lower order implicit time integration schemes for local and global
    error estimation. <i>Computational Mechanics</i>. <a href="https://doi.org/10.1007/s00466-023-02347-2">https://doi.org/10.1007/s00466-023-02347-2</a>
  bibtex: '@article{Mahnken_2023, title={Derivation of third order Runge–Kutta methods
    (ELDIRK) by embedding of lower order implicit time integration schemes for local
    and global error estimation}, DOI={<a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>},
    journal={Computational Mechanics}, publisher={Springer Science and Business Media
    LLC}, author={Mahnken, Rolf}, year={2023} }'
  chicago: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK)
    by Embedding of Lower Order Implicit Time Integration Schemes for Local and Global
    Error Estimation.” <i>Computational Mechanics</i>, 2023. <a href="https://doi.org/10.1007/s00466-023-02347-2">https://doi.org/10.1007/s00466-023-02347-2</a>.
  ieee: 'R. Mahnken, “Derivation of third order Runge–Kutta methods (ELDIRK) by embedding
    of lower order implicit time integration schemes for local and global error estimation,”
    <i>Computational Mechanics</i>, 2023, doi: <a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>.'
  mla: Mahnken, Rolf. “Derivation of Third Order Runge–Kutta Methods (ELDIRK) by Embedding
    of Lower Order Implicit Time Integration Schemes for Local and Global Error Estimation.”
    <i>Computational Mechanics</i>, Springer Science and Business Media LLC, 2023,
    doi:<a href="https://doi.org/10.1007/s00466-023-02347-2">10.1007/s00466-023-02347-2</a>.
  short: R. Mahnken, Computational Mechanics (2023).
date_created: 2023-06-23T06:47:36Z
date_updated: 2023-06-23T06:48:42Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-023-02347-2
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower
  order implicit time integration schemes for local and global error estimation
type: journal_article
user_id: '335'
year: '2023'
...
---
_id: '34633'
article_number: '114118'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Quoc Thong
  full_name: Le Gia, Quoc Thong
  last_name: Le Gia
citation:
  ama: Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares
    approximation on the sphere from noisy data. <i>Journal of Computational and Applied
    Mathematics</i>. 2022;408. doi:<a href="https://doi.org/10.1016/j.cam.2022.114118">10.1016/j.cam.2022.114118</a>
  apa: Hesse, K., &#38; Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete
    penalized least-squares approximation on the sphere from noisy data. <i>Journal
    of Computational and Applied Mathematics</i>, <i>408</i>, Article 114118. <a href="https://doi.org/10.1016/j.cam.2022.114118">https://doi.org/10.1016/j.cam.2022.114118</a>
  bibtex: '@article{Hesse_Le Gia_2022, title={L_2 error estimates for polynomial discrete
    penalized least-squares approximation on the sphere from noisy data}, volume={408},
    DOI={<a href="https://doi.org/10.1016/j.cam.2022.114118">10.1016/j.cam.2022.114118</a>},
    number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
    BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }'
  chicago: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
    Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
    <i>Journal of Computational and Applied Mathematics</i> 408 (2022). <a href="https://doi.org/10.1016/j.cam.2022.114118">https://doi.org/10.1016/j.cam.2022.114118</a>.
  ieee: 'K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized
    least-squares approximation on the sphere from noisy data,” <i>Journal of Computational
    and Applied Mathematics</i>, vol. 408, Art. no. 114118, 2022, doi: <a href="https://doi.org/10.1016/j.cam.2022.114118">10.1016/j.cam.2022.114118</a>.'
  mla: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
    Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
    <i>Journal of Computational and Applied Mathematics</i>, vol. 408, 114118, Elsevier
    BV, 2022, doi:<a href="https://doi.org/10.1016/j.cam.2022.114118">10.1016/j.cam.2022.114118</a>.
  short: K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408
    (2022).
date_created: 2022-12-20T17:37:16Z
date_updated: 2023-01-09T08:23:56Z
department:
- _id: '10'
doi: 10.1016/j.cam.2022.114118
intvolume: '       408'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
publication: Journal of Computational and Applied Mathematics
publication_identifier:
  issn:
  - 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: L_2 error estimates for polynomial discrete penalized least-squares approximation
  on the sphere from noisy data
type: journal_article
user_id: '14931'
volume: 408
year: '2022'
...
---
_id: '45969'
abstract:
- lang: eng
  text: '<jats:title>Abstract</jats:title><jats:p>An evolving surface finite element
    discretisation is analysed for the evolution of a closed two-dimensional surface
    governed by a system coupling a generalised forced mean curvature flow and a reaction–diffusion
    process on the surface, inspired by a gradient flow of a coupled energy. Two algorithms
    are proposed, both based on a system coupling the diffusion equation to evolution
    equations for geometric quantities in the velocity law for the surface. One of
    the numerical methods is proved to be convergent in the<jats:inline-formula><jats:alternatives><jats:tex-math>$$H^1$$</jats:tex-math><mml:math
    xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>H</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math></jats:alternatives></jats:inline-formula>norm
    with optimal-order for finite elements of degree at least two. We present numerical
    experiments illustrating the convergence behaviour and demonstrating the qualitative
    properties of the flow: preservation of mean convexity, loss of convexity, weak
    maximum principles, and the occurrence of self-intersections.</jats:p>'
author:
- first_name: Charles M.
  full_name: Elliott, Charles M.
  last_name: Elliott
- first_name: Harald
  full_name: Garcke, Harald
  last_name: Garcke
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Elliott CM, Garcke H, Kovács B. Numerical analysis for the interaction of mean
    curvature flow and diffusion on closed surfaces. <i>Numerische Mathematik</i>.
    2022;151(4):873-925. doi:<a href="https://doi.org/10.1007/s00211-022-01301-3">10.1007/s00211-022-01301-3</a>
  apa: Elliott, C. M., Garcke, H., &#38; Kovács, B. (2022). Numerical analysis for
    the interaction of mean curvature flow and diffusion on closed surfaces. <i>Numerische
    Mathematik</i>, <i>151</i>(4), 873–925. <a href="https://doi.org/10.1007/s00211-022-01301-3">https://doi.org/10.1007/s00211-022-01301-3</a>
  bibtex: '@article{Elliott_Garcke_Kovács_2022, title={Numerical analysis for the
    interaction of mean curvature flow and diffusion on closed surfaces}, volume={151},
    DOI={<a href="https://doi.org/10.1007/s00211-022-01301-3">10.1007/s00211-022-01301-3</a>},
    number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Elliott, Charles M. and Garcke, Harald and Kovács, Balázs},
    year={2022}, pages={873–925} }'
  chicago: 'Elliott, Charles M., Harald Garcke, and Balázs Kovács. “Numerical Analysis
    for the Interaction of Mean Curvature Flow and Diffusion on Closed Surfaces.”
    <i>Numerische Mathematik</i> 151, no. 4 (2022): 873–925. <a href="https://doi.org/10.1007/s00211-022-01301-3">https://doi.org/10.1007/s00211-022-01301-3</a>.'
  ieee: 'C. M. Elliott, H. Garcke, and B. Kovács, “Numerical analysis for the interaction
    of mean curvature flow and diffusion on closed surfaces,” <i>Numerische Mathematik</i>,
    vol. 151, no. 4, pp. 873–925, 2022, doi: <a href="https://doi.org/10.1007/s00211-022-01301-3">10.1007/s00211-022-01301-3</a>.'
  mla: Elliott, Charles M., et al. “Numerical Analysis for the Interaction of Mean
    Curvature Flow and Diffusion on Closed Surfaces.” <i>Numerische Mathematik</i>,
    vol. 151, no. 4, Springer Science and Business Media LLC, 2022, pp. 873–925, doi:<a
    href="https://doi.org/10.1007/s00211-022-01301-3">10.1007/s00211-022-01301-3</a>.
  short: C.M. Elliott, H. Garcke, B. Kovács, Numerische Mathematik 151 (2022) 873–925.
date_created: 2023-07-10T11:47:11Z
date_updated: 2024-04-03T09:15:44Z
department:
- _id: '841'
doi: 10.1007/s00211-022-01301-3
intvolume: '       151'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 873-925
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Numerical analysis for the interaction of mean curvature flow and diffusion
  on closed surfaces
type: journal_article
user_id: '100441'
volume: 151
year: '2022'
...
---
_id: '45963'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>The scattering of electromagnetic
    waves from obstacles with wave-material interaction in thin layers on the surface
    is described by generalized impedance boundary conditions, which provide effective
    approximate models. In particular, this includes a thin coating around a perfect
    conductor and the skin effect of a highly conducting material. The approach taken
    in this work is to derive, analyse and discretize a system of time-dependent boundary
    integral equations that determines the tangential traces of the scattered electric
    and magnetic fields. In a familiar second step, the fields are evaluated in the
    exterior domain by a representation formula, which uses the time-dependent potential
    operators of Maxwell’s equations. The time-dependent boundary integral equation
    is discretized with Runge–Kutta based convolution quadrature in time and Raviart–Thomas
    boundary elements in space. Using the frequency-explicit bounds from the well-posedness
    analysis given here together with known approximation properties of the numerical
    methods, the full discretization is proved to be stable and convergent, with explicitly
    given rates in the case of sufficient regularity. Taking the same Runge–Kutta
    based convolution quadrature for discretizing the time-dependent representation
    formulas, the optimal order of convergence is obtained away from the scattering
    boundary, whereas an order reduction occurs close to the boundary. The theoretical
    results are illustrated by numerical experiments.</jats:p>
author:
- first_name: Jörg
  full_name: Nick, Jörg
  last_name: Nick
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: Nick J, Kovács B, Lubich C. Time-dependent electromagnetic scattering from
    thin layers. <i>Numerische Mathematik</i>. 2022;150(4):1123-1164. doi:<a href="https://doi.org/10.1007/s00211-022-01277-0">10.1007/s00211-022-01277-0</a>
  apa: Nick, J., Kovács, B., &#38; Lubich, C. (2022). Time-dependent electromagnetic
    scattering from thin layers. <i>Numerische Mathematik</i>, <i>150</i>(4), 1123–1164.
    <a href="https://doi.org/10.1007/s00211-022-01277-0">https://doi.org/10.1007/s00211-022-01277-0</a>
  bibtex: '@article{Nick_Kovács_Lubich_2022, title={Time-dependent electromagnetic
    scattering from thin layers}, volume={150}, DOI={<a href="https://doi.org/10.1007/s00211-022-01277-0">10.1007/s00211-022-01277-0</a>},
    number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Nick, Jörg and Kovács, Balázs and Lubich, Christian}, year={2022},
    pages={1123–1164} }'
  chicago: 'Nick, Jörg, Balázs Kovács, and Christian Lubich. “Time-Dependent Electromagnetic
    Scattering from Thin Layers.” <i>Numerische Mathematik</i> 150, no. 4 (2022):
    1123–64. <a href="https://doi.org/10.1007/s00211-022-01277-0">https://doi.org/10.1007/s00211-022-01277-0</a>.'
  ieee: 'J. Nick, B. Kovács, and C. Lubich, “Time-dependent electromagnetic scattering
    from thin layers,” <i>Numerische Mathematik</i>, vol. 150, no. 4, pp. 1123–1164,
    2022, doi: <a href="https://doi.org/10.1007/s00211-022-01277-0">10.1007/s00211-022-01277-0</a>.'
  mla: Nick, Jörg, et al. “Time-Dependent Electromagnetic Scattering from Thin Layers.”
    <i>Numerische Mathematik</i>, vol. 150, no. 4, Springer Science and Business Media
    LLC, 2022, pp. 1123–64, doi:<a href="https://doi.org/10.1007/s00211-022-01277-0">10.1007/s00211-022-01277-0</a>.
  short: J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 150 (2022) 1123–1164.
date_created: 2023-07-10T11:44:57Z
date_updated: 2024-04-03T09:18:23Z
department:
- _id: '841'
doi: 10.1007/s00211-022-01277-0
intvolume: '       150'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 1123-1164
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Time-dependent electromagnetic scattering from thin layers
type: journal_article
user_id: '100441'
volume: 150
year: '2022'
...
---
_id: '45964'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>Maximal parabolic
    $L^p$-regularity of linear parabolic equations on an evolving surface is shown
    by pulling back the problem to the initial surface and studying the maximal $L^p$-regularity
    on a fixed surface. By freezing the coefficients in the parabolic equations at
    a fixed time and utilizing a perturbation argument around the freezed time, it
    is shown that backward difference time discretizations of linear parabolic equations
    on an evolving surface along characteristic trajectories can preserve maximal
    $L^p$-regularity in the discrete setting. The result is applied to prove the stability
    and convergence of time discretizations of nonlinear parabolic equations on an
    evolving surface, with linearly implicit backward differentiation formulae characteristic
    trajectories of the surface, for general locally Lipschitz nonlinearities. The
    discrete maximal $L^p$-regularity is used to prove the boundedness and stability
    of numerical solutions in the $L^\\infty (0,T;W^{1,\\infty })$ norm, which is
    used to bound the nonlinear terms in the stability analysis. Optimal-order error
    estimates of time discretizations in the $L^\\infty (0,T;W^{1,\\infty })$ norm
    is obtained by combining the stability analysis with the consistency estimates.</jats:p>"
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
citation:
  ama: Kovács B, Li B. Maximal regularity of backward difference time discretization
    for evolving surface PDEs and its application to nonlinear problems. <i>IMA Journal
    of Numerical Analysis</i>. Published online 2022. doi:<a href="https://doi.org/10.1093/imanum/drac033">10.1093/imanum/drac033</a>
  apa: Kovács, B., &#38; Li, B. (2022). Maximal regularity of backward difference
    time discretization for evolving surface PDEs and its application to nonlinear
    problems. <i>IMA Journal of Numerical Analysis</i>. <a href="https://doi.org/10.1093/imanum/drac033">https://doi.org/10.1093/imanum/drac033</a>
  bibtex: '@article{Kovács_Li_2022, title={Maximal regularity of backward difference
    time discretization for evolving surface PDEs and its application to nonlinear
    problems}, DOI={<a href="https://doi.org/10.1093/imanum/drac033">10.1093/imanum/drac033</a>},
    journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
    (OUP)}, author={Kovács, Balázs and Li, Buyang}, year={2022} }'
  chicago: Kovács, Balázs, and Buyang Li. “Maximal Regularity of Backward Difference
    Time Discretization for Evolving Surface PDEs and Its Application to Nonlinear
    Problems.” <i>IMA Journal of Numerical Analysis</i>, 2022. <a href="https://doi.org/10.1093/imanum/drac033">https://doi.org/10.1093/imanum/drac033</a>.
  ieee: 'B. Kovács and B. Li, “Maximal regularity of backward difference time discretization
    for evolving surface PDEs and its application to nonlinear problems,” <i>IMA Journal
    of Numerical Analysis</i>, 2022, doi: <a href="https://doi.org/10.1093/imanum/drac033">10.1093/imanum/drac033</a>.'
  mla: Kovács, Balázs, and Buyang Li. “Maximal Regularity of Backward Difference Time
    Discretization for Evolving Surface PDEs and Its Application to Nonlinear Problems.”
    <i>IMA Journal of Numerical Analysis</i>, Oxford University Press (OUP), 2022,
    doi:<a href="https://doi.org/10.1093/imanum/drac033">10.1093/imanum/drac033</a>.
  short: B. Kovács, B. Li, IMA Journal of Numerical Analysis (2022).
date_created: 2023-07-10T11:45:14Z
date_updated: 2024-04-03T09:17:59Z
department:
- _id: '841'
doi: 10.1093/imanum/drac033
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Maximal regularity of backward difference time discretization for evolving
  surface PDEs and its application to nonlinear problems
type: journal_article
user_id: '100441'
year: '2022'
...
---
_id: '45966'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>This paper studies
    bulk–surface splitting methods of first order for (semilinear) parabolic partial
    differential equations with dynamic boundary conditions. The proposed Lie splitting
    scheme is based on a reformulation of the problem as a coupled partial differential–algebraic
    equation system, i.e., the boundary conditions are considered as a second dynamic
    equation that is coupled to the bulk problem. The splitting approach is combined
    with bulk–surface finite elements and an implicit Euler discretization of the
    two subsystems. We prove first-order convergence of the resulting fully discrete
    scheme in the presence of a weak CFL condition of the form $\\tau \\leqslant c
    h$ for some constant $c&amp;gt;0$. The convergence is also illustrated numerically
    using dynamic boundary conditions of Allen–Cahn type.</jats:p>"
author:
- first_name: Robert
  full_name: Altmann, Robert
  last_name: Altmann
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christoph
  full_name: Zimmer, Christoph
  last_name: Zimmer
citation:
  ama: Altmann R, Kovács B, Zimmer C. Bulk–surface Lie splitting for parabolic problems
    with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>. 2022;43(2):950-975.
    doi:<a href="https://doi.org/10.1093/imanum/drac002">10.1093/imanum/drac002</a>
  apa: Altmann, R., Kovács, B., &#38; Zimmer, C. (2022). Bulk–surface Lie splitting
    for parabolic problems with dynamic boundary conditions. <i>IMA Journal of Numerical
    Analysis</i>, <i>43</i>(2), 950–975. <a href="https://doi.org/10.1093/imanum/drac002">https://doi.org/10.1093/imanum/drac002</a>
  bibtex: '@article{Altmann_Kovács_Zimmer_2022, title={Bulk–surface Lie splitting
    for parabolic problems with dynamic boundary conditions}, volume={43}, DOI={<a
    href="https://doi.org/10.1093/imanum/drac002">10.1093/imanum/drac002</a>}, number={2},
    journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
    (OUP)}, author={Altmann, Robert and Kovács, Balázs and Zimmer, Christoph}, year={2022},
    pages={950–975} }'
  chicago: 'Altmann, Robert, Balázs Kovács, and Christoph Zimmer. “Bulk–Surface Lie
    Splitting for Parabolic Problems with Dynamic Boundary Conditions.” <i>IMA Journal
    of Numerical Analysis</i> 43, no. 2 (2022): 950–75. <a href="https://doi.org/10.1093/imanum/drac002">https://doi.org/10.1093/imanum/drac002</a>.'
  ieee: 'R. Altmann, B. Kovács, and C. Zimmer, “Bulk–surface Lie splitting for parabolic
    problems with dynamic boundary conditions,” <i>IMA Journal of Numerical Analysis</i>,
    vol. 43, no. 2, pp. 950–975, 2022, doi: <a href="https://doi.org/10.1093/imanum/drac002">10.1093/imanum/drac002</a>.'
  mla: Altmann, Robert, et al. “Bulk–Surface Lie Splitting for Parabolic Problems
    with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, vol.
    43, no. 2, Oxford University Press (OUP), 2022, pp. 950–75, doi:<a href="https://doi.org/10.1093/imanum/drac002">10.1093/imanum/drac002</a>.
  short: R. Altmann, B. Kovács, C. Zimmer, IMA Journal of Numerical Analysis 43 (2022)
    950–975.
date_created: 2023-07-10T11:45:49Z
date_updated: 2024-04-03T09:16:47Z
department:
- _id: '841'
doi: 10.1093/imanum/drac002
intvolume: '        43'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 950-975
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions
type: journal_article
user_id: '100441'
volume: 43
year: '2022'
...
---
_id: '45968'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>We derive a numerical
    method, based on operator splitting, to abstract parabolic semilinear boundary
    coupled systems. The method decouples the linear components that describe the
    coupling and the dynamics in the abstract bulk- and surface-spaces, and treats
    the nonlinear terms similarly to an exponential integrator. The convergence proof
    is based on estimates for a recursive formulation of the error, using the parabolic
    smoothing property of analytic semigroups, and a careful comparison of the exact
    and approximate flows. This analysis also requires a deep understanding of the
    effects of the Dirichlet operator (the abstract version of the harmonic extension
    operator), which is essential for the stable coupling in our method. Numerical
    experiments, including problems with dynamic boundary conditions, reporting on
    convergence rates are presented.</jats:p>"
author:
- first_name: Petra
  full_name: Csomós, Petra
  last_name: Csomós
- first_name: Bálint
  full_name: Farkas, Bálint
  last_name: Farkas
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Csomós P, Farkas B, Kovács B. Error estimates for a splitting integrator for
    abstract semilinear boundary coupled systems. <i>IMA Journal of Numerical Analysis</i>.
    Published online 2022. doi:<a href="https://doi.org/10.1093/imanum/drac079">10.1093/imanum/drac079</a>
  apa: Csomós, P., Farkas, B., &#38; Kovács, B. (2022). Error estimates for a splitting
    integrator for abstract semilinear boundary coupled systems. <i>IMA Journal of
    Numerical Analysis</i>. <a href="https://doi.org/10.1093/imanum/drac079">https://doi.org/10.1093/imanum/drac079</a>
  bibtex: '@article{Csomós_Farkas_Kovács_2022, title={Error estimates for a splitting
    integrator for abstract semilinear boundary coupled systems}, DOI={<a href="https://doi.org/10.1093/imanum/drac079">10.1093/imanum/drac079</a>},
    journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
    (OUP)}, author={Csomós, Petra and Farkas, Bálint and Kovács, Balázs}, year={2022}
    }'
  chicago: Csomós, Petra, Bálint Farkas, and Balázs Kovács. “Error Estimates for a
    Splitting Integrator for Abstract Semilinear Boundary Coupled Systems.” <i>IMA
    Journal of Numerical Analysis</i>, 2022. <a href="https://doi.org/10.1093/imanum/drac079">https://doi.org/10.1093/imanum/drac079</a>.
  ieee: 'P. Csomós, B. Farkas, and B. Kovács, “Error estimates for a splitting integrator
    for abstract semilinear boundary coupled systems,” <i>IMA Journal of Numerical
    Analysis</i>, 2022, doi: <a href="https://doi.org/10.1093/imanum/drac079">10.1093/imanum/drac079</a>.'
  mla: Csomós, Petra, et al. “Error Estimates for a Splitting Integrator for Abstract
    Semilinear Boundary Coupled Systems.” <i>IMA Journal of Numerical Analysis</i>,
    Oxford University Press (OUP), 2022, doi:<a href="https://doi.org/10.1093/imanum/drac079">10.1093/imanum/drac079</a>.
  short: P. Csomós, B. Farkas, B. Kovács, IMA Journal of Numerical Analysis (2022).
date_created: 2023-07-10T11:46:54Z
date_updated: 2024-04-03T09:15:52Z
department:
- _id: '841'
doi: 10.1093/imanum/drac079
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Error estimates for a splitting integrator for abstract semilinear boundary
  coupled systems
type: journal_article
user_id: '100441'
year: '2022'
...
---
_id: '45958'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>In this paper, we consider a non-linear
    fourth-order evolution equation of Cahn–Hilliard-type on evolving surfaces with
    prescribed velocity, where the non-linear terms are only assumed to have locally
    Lipschitz derivatives. High-order evolving surface finite elements are used to
    discretise the weak equation system in space, and a modified matrix–vector formulation
    for the semi-discrete problem is derived. The anti-symmetric structure of the
    equation system is preserved by the spatial discretisation. A new stability proof,
    based on this structure, combined with consistency bounds proves optimal-order
    and uniform-in-time error estimates. The paper is concluded by a variety of numerical
    experiments.</jats:p>
author:
- first_name: Cedric Aaron
  full_name: Beschle, Cedric Aaron
  last_name: Beschle
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Beschle CA, Kovács B. Stability and error estimates for non-linear Cahn–Hilliard-type
    equations on evolving surfaces. <i>Numerische Mathematik</i>. 2022;151(1):1-48.
    doi:<a href="https://doi.org/10.1007/s00211-022-01280-5">10.1007/s00211-022-01280-5</a>
  apa: Beschle, C. A., &#38; Kovács, B. (2022). Stability and error estimates for
    non-linear Cahn–Hilliard-type equations on evolving surfaces. <i>Numerische Mathematik</i>,
    <i>151</i>(1), 1–48. <a href="https://doi.org/10.1007/s00211-022-01280-5">https://doi.org/10.1007/s00211-022-01280-5</a>
  bibtex: '@article{Beschle_Kovács_2022, title={Stability and error estimates for
    non-linear Cahn–Hilliard-type equations on evolving surfaces}, volume={151}, DOI={<a
    href="https://doi.org/10.1007/s00211-022-01280-5">10.1007/s00211-022-01280-5</a>},
    number={1}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Beschle, Cedric Aaron and Kovács, Balázs}, year={2022}, pages={1–48}
    }'
  chicago: 'Beschle, Cedric Aaron, and Balázs Kovács. “Stability and Error Estimates
    for Non-Linear Cahn–Hilliard-Type Equations on Evolving Surfaces.” <i>Numerische
    Mathematik</i> 151, no. 1 (2022): 1–48. <a href="https://doi.org/10.1007/s00211-022-01280-5">https://doi.org/10.1007/s00211-022-01280-5</a>.'
  ieee: 'C. A. Beschle and B. Kovács, “Stability and error estimates for non-linear
    Cahn–Hilliard-type equations on evolving surfaces,” <i>Numerische Mathematik</i>,
    vol. 151, no. 1, pp. 1–48, 2022, doi: <a href="https://doi.org/10.1007/s00211-022-01280-5">10.1007/s00211-022-01280-5</a>.'
  mla: Beschle, Cedric Aaron, and Balázs Kovács. “Stability and Error Estimates for
    Non-Linear Cahn–Hilliard-Type Equations on Evolving Surfaces.” <i>Numerische Mathematik</i>,
    vol. 151, no. 1, Springer Science and Business Media LLC, 2022, pp. 1–48, doi:<a
    href="https://doi.org/10.1007/s00211-022-01280-5">10.1007/s00211-022-01280-5</a>.
  short: C.A. Beschle, B. Kovács, Numerische Mathematik 151 (2022) 1–48.
date_created: 2023-07-10T11:43:44Z
date_updated: 2024-04-03T09:19:34Z
department:
- _id: '841'
doi: 10.1007/s00211-022-01280-5
intvolume: '       151'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 1-48
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Stability and error estimates for non-linear Cahn–Hilliard-type equations on
  evolving surfaces
type: journal_article
user_id: '100441'
volume: 151
year: '2022'
...
---
_id: '45956'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>The full Maxwell
    equations in the unbounded three-dimensional space coupled to the Landau–Lifshitz–Gilbert
    equation serve as a well-tested model for ferromagnetic materials.\r\nWe propose
    a weak formulation of the coupled system based on the boundary integral formulation
    of the exterior Maxwell equations.\r\nWe show existence and partial uniqueness
    of a weak solution and propose a new numerical algorithm based on finite elements
    and boundary elements as spatial discretization with backward Euler and convolution
    quadrature for the time domain.\r\nThis is the first numerical algorithm which
    is able to deal with the coupled system of Landau–Lifshitz–Gilbert equation and
    full Maxwell’s equations without any simplifications like quasi-static approximations
    (e.g. eddy current model) and without restrictions on the shape of the domain
    (e.g. convexity).\r\nWe show well-posedness and convergence of the numerical algorithm
    under minimal assumptions on the regularity of the solution.\r\nThis is particularly
    important as there are few regularity results available and one generally expects
    the solution to be non-smooth.\r\nNumerical experiments illustrate and expand
    on the theoretical results.</jats:p>"
author:
- first_name: Jan
  full_name: Bohn, Jan
  last_name: Bohn
- first_name: Michael
  full_name: Feischl, Michael
  last_name: Feischl
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: 'Bohn J, Feischl M, Kovács B. FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert
    Equations via Convolution Quadrature: Weak Form and Numerical Approximation. <i>Computational
    Methods in Applied Mathematics</i>. 2022;23(1):19-48. doi:<a href="https://doi.org/10.1515/cmam-2022-0145">10.1515/cmam-2022-0145</a>'
  apa: 'Bohn, J., Feischl, M., &#38; Kovács, B. (2022). FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert
    Equations via Convolution Quadrature: Weak Form and Numerical Approximation. <i>Computational
    Methods in Applied Mathematics</i>, <i>23</i>(1), 19–48. <a href="https://doi.org/10.1515/cmam-2022-0145">https://doi.org/10.1515/cmam-2022-0145</a>'
  bibtex: '@article{Bohn_Feischl_Kovács_2022, title={FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert
    Equations via Convolution Quadrature: Weak Form and Numerical Approximation},
    volume={23}, DOI={<a href="https://doi.org/10.1515/cmam-2022-0145">10.1515/cmam-2022-0145</a>},
    number={1}, journal={Computational Methods in Applied Mathematics}, publisher={Walter
    de Gruyter GmbH}, author={Bohn, Jan and Feischl, Michael and Kovács, Balázs},
    year={2022}, pages={19–48} }'
  chicago: 'Bohn, Jan, Michael Feischl, and Balázs Kovács. “FEM-BEM Coupling for the
    Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form
    and Numerical Approximation.” <i>Computational Methods in Applied Mathematics</i>
    23, no. 1 (2022): 19–48. <a href="https://doi.org/10.1515/cmam-2022-0145">https://doi.org/10.1515/cmam-2022-0145</a>.'
  ieee: 'J. Bohn, M. Feischl, and B. Kovács, “FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert
    Equations via Convolution Quadrature: Weak Form and Numerical Approximation,”
    <i>Computational Methods in Applied Mathematics</i>, vol. 23, no. 1, pp. 19–48,
    2022, doi: <a href="https://doi.org/10.1515/cmam-2022-0145">10.1515/cmam-2022-0145</a>.'
  mla: 'Bohn, Jan, et al. “FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert
    Equations via Convolution Quadrature: Weak Form and Numerical Approximation.”
    <i>Computational Methods in Applied Mathematics</i>, vol. 23, no. 1, Walter de
    Gruyter GmbH, 2022, pp. 19–48, doi:<a href="https://doi.org/10.1515/cmam-2022-0145">10.1515/cmam-2022-0145</a>.'
  short: J. Bohn, M. Feischl, B. Kovács, Computational Methods in Applied Mathematics
    23 (2022) 19–48.
date_created: 2023-07-10T11:43:13Z
date_updated: 2024-04-03T09:20:30Z
department:
- _id: '841'
doi: 10.1515/cmam-2022-0145
intvolume: '        23'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
language:
- iso: eng
page: 19-48
publication: Computational Methods in Applied Mathematics
publication_identifier:
  issn:
  - 1609-4840
  - 1609-9389
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: 'FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution
  Quadrature: Weak Form and Numerical Approximation'
type: journal_article
user_id: '100441'
volume: 23
year: '2022'
...
---
_id: '30655'
author:
- first_name: Xiaozhe
  full_name: Ju, Xiaozhe
  last_name: Ju
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
- first_name: Yangjian
  full_name: Xu, Yangjian
  last_name: Xu
- first_name: Lihua
  full_name: Liang, Lihua
  last_name: Liang
citation:
  ama: Ju X, Mahnken R, Xu Y, Liang L. Goal-oriented error estimation and h-adaptive
    finite elements for hyperelastic micromorphic continua. <i>Computational Mechanics</i>.
    2022;69(3):847-863. doi:<a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>
  apa: Ju, X., Mahnken, R., Xu, Y., &#38; Liang, L. (2022). Goal-oriented error estimation
    and h-adaptive finite elements for hyperelastic micromorphic continua. <i>Computational
    Mechanics</i>, <i>69</i>(3), 847–863. <a href="https://doi.org/10.1007/s00466-021-02117-y">https://doi.org/10.1007/s00466-021-02117-y</a>
  bibtex: '@article{Ju_Mahnken_Xu_Liang_2022, title={Goal-oriented error estimation
    and h-adaptive finite elements for hyperelastic micromorphic continua}, volume={69},
    DOI={<a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>},
    number={3}, journal={Computational Mechanics}, publisher={Springer Science and
    Business Media LLC}, author={Ju, Xiaozhe and Mahnken, Rolf and Xu, Yangjian and
    Liang, Lihua}, year={2022}, pages={847–863} }'
  chicago: 'Ju, Xiaozhe, Rolf Mahnken, Yangjian Xu, and Lihua Liang. “Goal-Oriented
    Error Estimation and h-Adaptive Finite Elements for Hyperelastic Micromorphic
    Continua.” <i>Computational Mechanics</i> 69, no. 3 (2022): 847–63. <a href="https://doi.org/10.1007/s00466-021-02117-y">https://doi.org/10.1007/s00466-021-02117-y</a>.'
  ieee: 'X. Ju, R. Mahnken, Y. Xu, and L. Liang, “Goal-oriented error estimation and
    h-adaptive finite elements for hyperelastic micromorphic continua,” <i>Computational
    Mechanics</i>, vol. 69, no. 3, pp. 847–863, 2022, doi: <a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>.'
  mla: Ju, Xiaozhe, et al. “Goal-Oriented Error Estimation and h-Adaptive Finite Elements
    for Hyperelastic Micromorphic Continua.” <i>Computational Mechanics</i>, vol.
    69, no. 3, Springer Science and Business Media LLC, 2022, pp. 847–63, doi:<a href="https://doi.org/10.1007/s00466-021-02117-y">10.1007/s00466-021-02117-y</a>.
  short: X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics 69 (2022) 847–863.
date_created: 2022-03-28T13:23:17Z
date_updated: 2023-01-24T13:10:56Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.1007/s00466-021-02117-y
intvolume: '        69'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- Computational Theory and Mathematics
- Mechanical Engineering
- Ocean Engineering
- Computational Mechanics
language:
- iso: eng
page: 847-863
publication: Computational Mechanics
publication_identifier:
  issn:
  - 0178-7675
  - 1432-0924
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Goal-oriented error estimation and h-adaptive finite elements for hyperelastic
  micromorphic continua
type: journal_article
user_id: '335'
volume: 69
year: '2022'
...
---
_id: '34700'
article_number: '13'
author:
- first_name: Sevag
  full_name: Gharibian, Sevag
  id: '71541'
  last_name: Gharibian
  orcid: 0000-0002-9992-3379
- first_name: Miklos
  full_name: Santha, Miklos
  last_name: Santha
- first_name: Jamie
  full_name: Sikora, Jamie
  last_name: Sikora
- first_name: Aarthi
  full_name: Sundaram, Aarthi
  last_name: Sundaram
- first_name: Justin
  full_name: Yirka, Justin
  last_name: Yirka
citation:
  ama: Gharibian S, Santha M, Sikora J, Sundaram A, Yirka J. Quantum generalizations
    of the polynomial hierarchy with applications to QMA(2). <i>Computational Complexity</i>.
    2022;31(2). doi:<a href="https://doi.org/10.1007/s00037-022-00231-8">10.1007/s00037-022-00231-8</a>
  apa: Gharibian, S., Santha, M., Sikora, J., Sundaram, A., &#38; Yirka, J. (2022).
    Quantum generalizations of the polynomial hierarchy with applications to QMA(2).
    <i>Computational Complexity</i>, <i>31</i>(2), Article 13. <a href="https://doi.org/10.1007/s00037-022-00231-8">https://doi.org/10.1007/s00037-022-00231-8</a>
  bibtex: '@article{Gharibian_Santha_Sikora_Sundaram_Yirka_2022, title={Quantum generalizations
    of the polynomial hierarchy with applications to QMA(2)}, volume={31}, DOI={<a
    href="https://doi.org/10.1007/s00037-022-00231-8">10.1007/s00037-022-00231-8</a>},
    number={213}, journal={Computational Complexity}, publisher={Springer Science
    and Business Media LLC}, author={Gharibian, Sevag and Santha, Miklos and Sikora,
    Jamie and Sundaram, Aarthi and Yirka, Justin}, year={2022} }'
  chicago: Gharibian, Sevag, Miklos Santha, Jamie Sikora, Aarthi Sundaram, and Justin
    Yirka. “Quantum Generalizations of the Polynomial Hierarchy with Applications
    to QMA(2).” <i>Computational Complexity</i> 31, no. 2 (2022). <a href="https://doi.org/10.1007/s00037-022-00231-8">https://doi.org/10.1007/s00037-022-00231-8</a>.
  ieee: 'S. Gharibian, M. Santha, J. Sikora, A. Sundaram, and J. Yirka, “Quantum generalizations
    of the polynomial hierarchy with applications to QMA(2),” <i>Computational Complexity</i>,
    vol. 31, no. 2, Art. no. 13, 2022, doi: <a href="https://doi.org/10.1007/s00037-022-00231-8">10.1007/s00037-022-00231-8</a>.'
  mla: Gharibian, Sevag, et al. “Quantum Generalizations of the Polynomial Hierarchy
    with Applications to QMA(2).” <i>Computational Complexity</i>, vol. 31, no. 2,
    13, Springer Science and Business Media LLC, 2022, doi:<a href="https://doi.org/10.1007/s00037-022-00231-8">10.1007/s00037-022-00231-8</a>.
  short: S. Gharibian, M. Santha, J. Sikora, A. Sundaram, J. Yirka, Computational
    Complexity 31 (2022).
date_created: 2022-12-21T10:53:52Z
date_updated: 2023-02-28T11:07:02Z
department:
- _id: '623'
- _id: '7'
doi: 10.1007/s00037-022-00231-8
intvolume: '        31'
issue: '2'
keyword:
- Computational Mathematics
- Computational Theory and Mathematics
- General Mathematics
- Theoretical Computer Science
language:
- iso: eng
publication: Computational Complexity
publication_identifier:
  issn:
  - 1016-3328
  - 1420-8954
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Quantum generalizations of the polynomial hierarchy with applications to QMA(2)
type: journal_article
user_id: '71541'
volume: 31
year: '2022'
...
---
_id: '34075'
author:
- first_name: Eduard
  full_name: Penner, Eduard
  last_name: Penner
- first_name: Ismail
  full_name: Caylak, Ismail
  id: '75'
  last_name: Caylak
- first_name: Rolf
  full_name: Mahnken, Rolf
  id: '335'
  last_name: Mahnken
citation:
  ama: Penner E, Caylak I, Mahnken R. A polymorphic uncertainty model for the curing
    process of transversely fiber-reinforced plastics. <i>Mathematics and Mechanics
    of Complex Systems</i>. 2022;10(1):21-50. doi:<a href="https://doi.org/10.2140/memocs.2022.10.21">10.2140/memocs.2022.10.21</a>
  apa: Penner, E., Caylak, I., &#38; Mahnken, R. (2022). A polymorphic uncertainty
    model for the curing process of transversely fiber-reinforced plastics. <i>Mathematics
    and Mechanics of Complex Systems</i>, <i>10</i>(1), 21–50. <a href="https://doi.org/10.2140/memocs.2022.10.21">https://doi.org/10.2140/memocs.2022.10.21</a>
  bibtex: '@article{Penner_Caylak_Mahnken_2022, title={A polymorphic uncertainty model
    for the curing process of transversely fiber-reinforced plastics}, volume={10},
    DOI={<a href="https://doi.org/10.2140/memocs.2022.10.21">10.2140/memocs.2022.10.21</a>},
    number={1}, journal={Mathematics and Mechanics of Complex Systems}, publisher={Mathematical
    Sciences Publishers}, author={Penner, Eduard and Caylak, Ismail and Mahnken, Rolf},
    year={2022}, pages={21–50} }'
  chicago: 'Penner, Eduard, Ismail Caylak, and Rolf Mahnken. “A Polymorphic Uncertainty
    Model for the Curing Process of Transversely Fiber-Reinforced Plastics.” <i>Mathematics
    and Mechanics of Complex Systems</i> 10, no. 1 (2022): 21–50. <a href="https://doi.org/10.2140/memocs.2022.10.21">https://doi.org/10.2140/memocs.2022.10.21</a>.'
  ieee: 'E. Penner, I. Caylak, and R. Mahnken, “A polymorphic uncertainty model for
    the curing process of transversely fiber-reinforced plastics,” <i>Mathematics
    and Mechanics of Complex Systems</i>, vol. 10, no. 1, pp. 21–50, 2022, doi: <a
    href="https://doi.org/10.2140/memocs.2022.10.21">10.2140/memocs.2022.10.21</a>.'
  mla: Penner, Eduard, et al. “A Polymorphic Uncertainty Model for the Curing Process
    of Transversely Fiber-Reinforced Plastics.” <i>Mathematics and Mechanics of Complex
    Systems</i>, vol. 10, no. 1, Mathematical Sciences Publishers, 2022, pp. 21–50,
    doi:<a href="https://doi.org/10.2140/memocs.2022.10.21">10.2140/memocs.2022.10.21</a>.
  short: E. Penner, I. Caylak, R. Mahnken, Mathematics and Mechanics of Complex Systems
    10 (2022) 21–50.
date_created: 2022-11-14T12:55:22Z
date_updated: 2023-04-27T10:04:44Z
department:
- _id: '9'
- _id: '154'
- _id: '321'
doi: 10.2140/memocs.2022.10.21
intvolume: '        10'
issue: '1'
keyword:
- Computational Mathematics
- Numerical Analysis
- Civil and Structural Engineering
language:
- iso: eng
page: 21-50
publication: Mathematics and Mechanics of Complex Systems
publication_identifier:
  issn:
  - 2325-3444
  - 2326-7186
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
status: public
title: A polymorphic uncertainty model for the curing process of transversely fiber-reinforced
  plastics
type: journal_article
user_id: '335'
volume: 10
year: '2022'
...