---
_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: '53321'
abstract:
- lang: eng
  text: '<jats:p> The chemotaxis system [Formula: see text] is considered in a ball
    [Formula: see text], [Formula: see text], where the positive function [Formula:
    see text] reflects suitably weak diffusion by satisfying [Formula: see text] for
    some [Formula: see text]. It is shown that whenever [Formula: see text] is positive
    and satisfies [Formula: see text] as [Formula: see text], one can find a suitably
    regular nonlinearity [Formula: see text] with the property that at each sufficiently
    large mass level [Formula: see text] there exists a globally defined radially
    symmetric classical solution to a Neumann-type boundary value problem for (⋆)
    which satisfies [Formula: see text] </jats:p>'
author:
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems.
    <i>Communications in Contemporary Mathematics</i>. 2022;25(10). doi:<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>
  apa: Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel
    systems. <i>Communications in Contemporary Mathematics</i>, <i>25</i>(10). <a
    href="https://doi.org/10.1142/s0219199722500626">https://doi.org/10.1142/s0219199722500626</a>
  bibtex: '@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear
    Keller–Segel systems}, volume={25}, DOI={<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>},
    number={10}, journal={Communications in Contemporary Mathematics}, publisher={World
    Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }'
  chicago: Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel
    Systems.” <i>Communications in Contemporary Mathematics</i> 25, no. 10 (2022).
    <a href="https://doi.org/10.1142/s0219199722500626">https://doi.org/10.1142/s0219199722500626</a>.
  ieee: 'M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,”
    <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, 2022, doi:
    <a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>.'
  mla: Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel
    Systems.” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10,
    World Scientific Pub Co Pte Ltd, 2022, doi:<a href="https://doi.org/10.1142/s0219199722500626">10.1142/s0219199722500626</a>.
  short: M. Winkler, Communications in Contemporary Mathematics 25 (2022).
date_created: 2024-04-07T12:35:09Z
date_updated: 2024-04-07T12:35:53Z
doi: 10.1142/s0219199722500626
intvolume: '        25'
issue: '10'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
publication: Communications in Contemporary Mathematics
publication_identifier:
  issn:
  - 0219-1997
  - 1793-6683
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems
type: journal_article
user_id: '31496'
volume: 25
year: '2022'
...
---
_id: '53327'
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. Global solutions to a Keller-Segel-consumption system involving
    singularly signal-dependent motilities in domains of arbitrary dimension. <i>Journal
    of Differential Equations</i>. 2022;343:390-418. doi:<a href="https://doi.org/10.1016/j.jde.2022.10.022">10.1016/j.jde.2022.10.022</a>
  apa: Tao, Y., &#38; Winkler, M. (2022). Global solutions to a Keller-Segel-consumption
    system involving singularly signal-dependent motilities in domains of arbitrary
    dimension. <i>Journal of Differential Equations</i>, <i>343</i>, 390–418. <a href="https://doi.org/10.1016/j.jde.2022.10.022">https://doi.org/10.1016/j.jde.2022.10.022</a>
  bibtex: '@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption
    system involving singularly signal-dependent motilities in domains of arbitrary
    dimension}, volume={343}, DOI={<a href="https://doi.org/10.1016/j.jde.2022.10.022">10.1016/j.jde.2022.10.022</a>},
    journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao,
    Youshan and Winkler, Michael}, year={2022}, pages={390–418} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption
    System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary
    Dimension.” <i>Journal of Differential Equations</i> 343 (2022): 390–418. <a href="https://doi.org/10.1016/j.jde.2022.10.022">https://doi.org/10.1016/j.jde.2022.10.022</a>.'
  ieee: 'Y. Tao and M. Winkler, “Global solutions to a Keller-Segel-consumption system
    involving singularly signal-dependent motilities in domains of arbitrary dimension,”
    <i>Journal of Differential Equations</i>, vol. 343, pp. 390–418, 2022, doi: <a
    href="https://doi.org/10.1016/j.jde.2022.10.022">10.1016/j.jde.2022.10.022</a>.'
  mla: Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption
    System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary
    Dimension.” <i>Journal of Differential Equations</i>, vol. 343, Elsevier BV, 2022,
    pp. 390–418, doi:<a href="https://doi.org/10.1016/j.jde.2022.10.022">10.1016/j.jde.2022.10.022</a>.
  short: Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418.
date_created: 2024-04-07T12:42:28Z
date_updated: 2024-04-07T12:42:32Z
doi: 10.1016/j.jde.2022.10.022
intvolume: '       343'
keyword:
- Analysis
- Applied Mathematics
language:
- iso: eng
page: 390-418
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Global solutions to a Keller-Segel-consumption system involving singularly
  signal-dependent motilities in domains of arbitrary dimension
type: journal_article
user_id: '31496'
volume: 343
year: '2022'
...
---
_id: '53325'
article_number: '113153'
author:
- first_name: Laurent
  full_name: Desvillettes, Laurent
  last_name: Desvillettes
- first_name: Philippe
  full_name: Laurençot, Philippe
  last_name: Laurençot
- first_name: Ariane
  full_name: Trescases, Ariane
  last_name: Trescases
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular
    cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>.
    2022;226. doi:<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>
  apa: Desvillettes, L., Laurençot, P., Trescases, A., &#38; Winkler, M. (2022). Weak
    solutions to triangular cross diffusion systems modeling chemotaxis with local
    sensing. <i>Nonlinear Analysis</i>, <i>226</i>, Article 113153. <a href="https://doi.org/10.1016/j.na.2022.113153">https://doi.org/10.1016/j.na.2022.113153</a>
  bibtex: '@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions
    to triangular cross diffusion systems modeling chemotaxis with local sensing},
    volume={226}, DOI={<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>},
    number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes,
    Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022}
    }'
  chicago: Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael
    Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis
    with Local Sensing.” <i>Nonlinear Analysis</i> 226 (2022). <a href="https://doi.org/10.1016/j.na.2022.113153">https://doi.org/10.1016/j.na.2022.113153</a>.
  ieee: 'L. Desvillettes, P. Laurençot, A. Trescases, and M. Winkler, “Weak solutions
    to triangular cross diffusion systems modeling chemotaxis with local sensing,”
    <i>Nonlinear Analysis</i>, vol. 226, Art. no. 113153, 2022, doi: <a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>.'
  mla: Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion
    Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i>, vol.
    226, 113153, Elsevier BV, 2022, doi:<a href="https://doi.org/10.1016/j.na.2022.113153">10.1016/j.na.2022.113153</a>.
  short: L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis
    226 (2022).
date_created: 2024-04-07T12:41:15Z
date_updated: 2024-04-07T12:41:20Z
doi: 10.1016/j.na.2022.113153
intvolume: '       226'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Weak solutions to triangular cross diffusion systems modeling chemotaxis with
  local sensing
type: journal_article
user_id: '31496'
volume: 226
year: '2022'
...
---
_id: '35685'
author:
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Robin
  full_name: Göller, Robin
  last_name: Göller
- first_name: Lara
  full_name: Gildehaus, Lara
  last_name: Gildehaus
- first_name: Jörg
  full_name: Kortemeyer, Jörg
  last_name: Kortemeyer
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: Laura
  full_name: Ostsieker, Laura
  last_name: Ostsieker
- first_name: Jana
  full_name: Rode, Jana
  last_name: Rode
- first_name: Niclas
  full_name: Schaper, Niclas
  last_name: Schaper
citation:
  ama: Liebendörfer M, Göller R, Gildehaus L, et al. The role of learning strategies
    for performance in mathematics courses for engineers. <i>International Journal
    of Mathematical Education in Science and Technology</i>. 2022;53(5):1133-1152.
    doi:<a href="https://doi.org/10.1080/0020739x.2021.2023772">10.1080/0020739x.2021.2023772</a>
  apa: Liebendörfer, M., Göller, R., Gildehaus, L., Kortemeyer, J., Biehler, R., Hochmuth,
    R., Ostsieker, L., Rode, J., &#38; Schaper, N. (2022). The role of learning strategies
    for performance in mathematics courses for engineers. <i>International Journal
    of Mathematical Education in Science and Technology</i>, <i>53</i>(5), 1133–1152.
    <a href="https://doi.org/10.1080/0020739x.2021.2023772">https://doi.org/10.1080/0020739x.2021.2023772</a>
  bibtex: '@article{Liebendörfer_Göller_Gildehaus_Kortemeyer_Biehler_Hochmuth_Ostsieker_Rode_Schaper_2022,
    title={The role of learning strategies for performance in mathematics courses
    for engineers}, volume={53}, DOI={<a href="https://doi.org/10.1080/0020739x.2021.2023772">10.1080/0020739x.2021.2023772</a>},
    number={5}, journal={International Journal of Mathematical Education in Science
    and Technology}, publisher={Informa UK Limited}, author={Liebendörfer, Michael
    and Göller, Robin and Gildehaus, Lara and Kortemeyer, Jörg and Biehler, Rolf and
    Hochmuth, Reinhard and Ostsieker, Laura and Rode, Jana and Schaper, Niclas}, year={2022},
    pages={1133–1152} }'
  chicago: 'Liebendörfer, Michael, Robin Göller, Lara Gildehaus, Jörg Kortemeyer,
    Rolf Biehler, Reinhard Hochmuth, Laura Ostsieker, Jana Rode, and Niclas Schaper.
    “The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.”
    <i>International Journal of Mathematical Education in Science and Technology</i>
    53, no. 5 (2022): 1133–52. <a href="https://doi.org/10.1080/0020739x.2021.2023772">https://doi.org/10.1080/0020739x.2021.2023772</a>.'
  ieee: 'M. Liebendörfer <i>et al.</i>, “The role of learning strategies for performance
    in mathematics courses for engineers,” <i>International Journal of Mathematical
    Education in Science and Technology</i>, vol. 53, no. 5, pp. 1133–1152, 2022,
    doi: <a href="https://doi.org/10.1080/0020739x.2021.2023772">10.1080/0020739x.2021.2023772</a>.'
  mla: Liebendörfer, Michael, et al. “The Role of Learning Strategies for Performance
    in Mathematics Courses for Engineers.” <i>International Journal of Mathematical
    Education in Science and Technology</i>, vol. 53, no. 5, Informa UK Limited, 2022,
    pp. 1133–52, doi:<a href="https://doi.org/10.1080/0020739x.2021.2023772">10.1080/0020739x.2021.2023772</a>.
  short: M. Liebendörfer, R. Göller, L. Gildehaus, J. Kortemeyer, R. Biehler, R. Hochmuth,
    L. Ostsieker, J. Rode, N. Schaper, International Journal of Mathematical Education
    in Science and Technology 53 (2022) 1133–1152.
date_created: 2023-01-10T08:56:30Z
date_updated: 2024-04-18T10:08:30Z
department:
- _id: '363'
- _id: '625'
doi: 10.1080/0020739x.2021.2023772
intvolume: '        53'
issue: '5'
keyword:
- Applied Mathematics
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
page: 1133-1152
publication: International Journal of Mathematical Education in Science and Technology
publication_identifier:
  issn:
  - 0020-739X
  - 1464-5211
publication_status: published
publisher: Informa UK Limited
status: public
title: The role of learning strategies for performance in mathematics courses for
  engineers
type: journal_article
user_id: '37888'
volume: 53
year: '2022'
...
---
_id: '45849'
abstract:
- lang: eng
  text: '<jats:title>Abstract</jats:title><jats:p>Dependence Logic was introduced
    by Jouko Väänänen in 2007. We study a propositional variant of this logic<jats:italic>(PDL)</jats:italic>and
    investigate a variety of parameterisations with respect to central decision problems.
    The model checking problem (MC) of<jats:italic>PDL</jats:italic>is<jats:bold>NP</jats:bold>-complete
    (Ebbing and Lohmann, SOFSEM 2012). The subject of this research is to identify
    a list of parameterisations (formula-size, formula-depth, treewidth, team-size,
    number of variables) under which MC becomes fixed-parameter tractable. Furthermore,
    we show that the number of disjunctions or the arity of dependence atoms (dep-arity)
    as a parameter both yield a paraNP-completeness result. Then, we consider the
    satisfiability problem (SAT) which classically is known to be<jats:bold>NP</jats:bold>-complete
    as well (Lohmann and Vollmer, Studia Logica 2013). There we are presenting a different
    picture: under team-size, or dep-arity SAT is<jats:bold>paraNP</jats:bold>-complete
    whereas under all other mentioned parameters the problem is<jats:bold>FPT</jats:bold>.
    Finally, we introduce a variant of the satisfiability problem, asking for a team
    of a given size, and show for this problem an almost complete picture.</jats:p>'
author:
- first_name: Yasir
  full_name: Mahmood, Yasir
  id: '99353'
  last_name: Mahmood
- first_name: Arne
  full_name: Meier, Arne
  last_name: Meier
citation:
  ama: Mahmood Y, Meier A. Parameterised complexity of model checking and satisfiability
    in propositional dependence logic. <i>Annals of Mathematics and Artificial Intelligence</i>.
    2022;90(2-3):271-296. doi:<a href="https://doi.org/10.1007/s10472-021-09730-w">10.1007/s10472-021-09730-w</a>
  apa: Mahmood, Y., &#38; Meier, A. (2022). Parameterised complexity of model checking
    and satisfiability in propositional dependence logic. <i>Annals of Mathematics
    and Artificial Intelligence</i>, <i>90</i>(2–3), 271–296. <a href="https://doi.org/10.1007/s10472-021-09730-w">https://doi.org/10.1007/s10472-021-09730-w</a>
  bibtex: '@article{Mahmood_Meier_2022, title={Parameterised complexity of model checking
    and satisfiability in propositional dependence logic}, volume={90}, DOI={<a href="https://doi.org/10.1007/s10472-021-09730-w">10.1007/s10472-021-09730-w</a>},
    number={2–3}, journal={Annals of Mathematics and Artificial Intelligence}, publisher={Springer
    Science and Business Media LLC}, author={Mahmood, Yasir and Meier, Arne}, year={2022},
    pages={271–296} }'
  chicago: 'Mahmood, Yasir, and Arne Meier. “Parameterised Complexity of Model Checking
    and Satisfiability in Propositional Dependence Logic.” <i>Annals of Mathematics
    and Artificial Intelligence</i> 90, no. 2–3 (2022): 271–96. <a href="https://doi.org/10.1007/s10472-021-09730-w">https://doi.org/10.1007/s10472-021-09730-w</a>.'
  ieee: 'Y. Mahmood and A. Meier, “Parameterised complexity of model checking and
    satisfiability in propositional dependence logic,” <i>Annals of Mathematics and
    Artificial Intelligence</i>, vol. 90, no. 2–3, pp. 271–296, 2022, doi: <a href="https://doi.org/10.1007/s10472-021-09730-w">10.1007/s10472-021-09730-w</a>.'
  mla: Mahmood, Yasir, and Arne Meier. “Parameterised Complexity of Model Checking
    and Satisfiability in Propositional Dependence Logic.” <i>Annals of Mathematics
    and Artificial Intelligence</i>, vol. 90, no. 2–3, Springer Science and Business
    Media LLC, 2022, pp. 271–96, doi:<a href="https://doi.org/10.1007/s10472-021-09730-w">10.1007/s10472-021-09730-w</a>.
  short: Y. Mahmood, A. Meier, Annals of Mathematics and Artificial Intelligence 90
    (2022) 271–296.
date_created: 2023-07-03T11:45:39Z
date_updated: 2024-06-04T16:06:59Z
doi: 10.1007/s10472-021-09730-w
extern: '1'
intvolume: '        90'
issue: 2-3
keyword:
- Applied Mathematics
- Artificial Intelligence
language:
- iso: eng
page: 271-296
publication: Annals of Mathematics and Artificial Intelligence
publication_identifier:
  issn:
  - 1012-2443
  - 1573-7470
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Parameterised complexity of model checking and satisfiability in propositional
  dependence logic
type: journal_article
user_id: '99353'
volume: 90
year: '2022'
...
---
_id: '34264'
abstract:
- lang: eng
  text: In industrial x-ray computed tomography (CT), the application of more complex
    scan paths in comparison to the typical circular trajectory (${360}^{\circ}$ rotation
    of the measurement object) can extend the potential of CT. One way to enable such
    3D scan trajectories is to use a 6-degrees-of-freedom (DOF) object manipulator
    system. In our case, a hexapod is mounted on top of the rotary table of a commercial
    CT scanner. This allows for adaptive tilting of the measurement object during
    the scan. For high accuracy, the geometry calibration of such setups is typically
    done using the x-ray projections of a calibrated multi-sphere object. Contrary
    to this, here, we demonstrate a procedure that is based on only a single sphere
    and can therefore experimentally be implemented with low effort. Using the intrinsic
    geometry parameters of the CT device as prior information, the hexapod coordinate
    system with respect to the CT machine coordinate system is determined by means
    of a one-step optimization approach. The resulting parameters are used to calculate
    projection matrices that enable the volume reconstruction for 3D scan trajectories.
    The method is validated using simulated x-ray images and experimental investigations
    including dimensional measurements. For the used setup, geometric measurement
    results for 3D scan trajectories that are calibrated with the presented method
    show in sum increased errors compared to the circular scans. A limited pose accuracy
    of the manipulator system is discussed as a potential cause. The results nevertheless
    indicate that the presented method is generally feasible for dimensional CT measurements
    provided that the pose accuracy is sufficient. The calibration procedure can therefore
    be a low-cost and easier to implement alternative compared to trajectory calibration
    methods based on multi-sphere objects, but with a tendency towards lower measurement
    accuracy. The methodology can in principle be transferred to different setups
    with 6-DOF manipulator systems, e.g. C-arm CT devices with a robot arm.
article_number: '015403'
author:
- first_name: Lorenz
  full_name: Butzhammer, Lorenz
  last_name: Butzhammer
- first_name: Andreas Michael
  full_name: Müller, Andreas Michael
  last_name: Müller
- first_name: Tino
  full_name: Hausotte, Tino
  last_name: Hausotte
citation:
  ama: Butzhammer L, Müller AM, Hausotte T. Calibration of 3D scan trajectories for
    an industrial computed tomography setup with 6-DOF object manipulator system using
    a single sphere. <i>Measurement Science and Technology</i>. 2022;34(1). doi:<a
    href="https://doi.org/10.1088/1361-6501/ac9856">10.1088/1361-6501/ac9856</a>
  apa: Butzhammer, L., Müller, A. M., &#38; Hausotte, T. (2022). Calibration of 3D
    scan trajectories for an industrial computed tomography setup with 6-DOF object
    manipulator system using a single sphere. <i>Measurement Science and Technology</i>,
    <i>34</i>(1), Article 015403. <a href="https://doi.org/10.1088/1361-6501/ac9856">https://doi.org/10.1088/1361-6501/ac9856</a>
  bibtex: '@article{Butzhammer_Müller_Hausotte_2022, title={Calibration of 3D scan
    trajectories for an industrial computed tomography setup with 6-DOF object manipulator
    system using a single sphere}, volume={34}, DOI={<a href="https://doi.org/10.1088/1361-6501/ac9856">10.1088/1361-6501/ac9856</a>},
    number={1015403}, journal={Measurement Science and Technology}, publisher={IOP
    Publishing}, author={Butzhammer, Lorenz and Müller, Andreas Michael and Hausotte,
    Tino}, year={2022} }'
  chicago: Butzhammer, Lorenz, Andreas Michael Müller, and Tino Hausotte. “Calibration
    of 3D Scan Trajectories for an Industrial Computed Tomography Setup with 6-DOF
    Object Manipulator System Using a Single Sphere.” <i>Measurement Science and Technology</i>
    34, no. 1 (2022). <a href="https://doi.org/10.1088/1361-6501/ac9856">https://doi.org/10.1088/1361-6501/ac9856</a>.
  ieee: 'L. Butzhammer, A. M. Müller, and T. Hausotte, “Calibration of 3D scan trajectories
    for an industrial computed tomography setup with 6-DOF object manipulator system
    using a single sphere,” <i>Measurement Science and Technology</i>, vol. 34, no.
    1, Art. no. 015403, 2022, doi: <a href="https://doi.org/10.1088/1361-6501/ac9856">10.1088/1361-6501/ac9856</a>.'
  mla: Butzhammer, Lorenz, et al. “Calibration of 3D Scan Trajectories for an Industrial
    Computed Tomography Setup with 6-DOF Object Manipulator System Using a Single
    Sphere.” <i>Measurement Science and Technology</i>, vol. 34, no. 1, 015403, IOP
    Publishing, 2022, doi:<a href="https://doi.org/10.1088/1361-6501/ac9856">10.1088/1361-6501/ac9856</a>.
  short: L. Butzhammer, A.M. Müller, T. Hausotte, Measurement Science and Technology
    34 (2022).
date_created: 2022-12-07T10:46:14Z
date_updated: 2023-01-13T14:34:31Z
department:
- _id: '630'
doi: 10.1088/1361-6501/ac9856
intvolume: '        34'
issue: '1'
keyword:
- Applied Mathematics
- Instrumentation
- Engineering (miscellaneous)
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://iopscience.iop.org/article/10.1088/1361-6501/ac9856
oa: '1'
project:
- _id: '130'
  grant_number: '418701707'
  name: 'TRR 285: TRR 285'
- _id: '133'
  name: 'TRR 285 - C: TRR 285 - Project Area C'
- _id: '149'
  name: 'TRR 285 – C05: TRR 285 - Subproject C05'
publication: Measurement Science and Technology
publication_identifier:
  issn:
  - 0957-0233
  - 1361-6501
publication_status: published
publisher: IOP Publishing
status: public
title: Calibration of 3D scan trajectories for an industrial computed tomography setup
  with 6-DOF object manipulator system using a single sphere
type: journal_article
user_id: '7850'
volume: 34
year: '2022'
...
---
_id: '35206'
author:
- first_name: Bernard
  full_name: Bonnard, Bernard
  last_name: Bonnard
- first_name: Jérémy
  full_name: Rouot, Jérémy
  last_name: Rouot
- first_name: Boris Edgar
  full_name: Wembe Moafo, Boris Edgar
  id: '95394'
  last_name: Wembe Moafo
citation:
  ama: Bonnard B, Rouot J, Wembe Moafo BE. Accessibility properties of abnormal geodesics
    in optimal control illustrated by two case studies. <i>Mathematical Control and
    Related Fields</i>. 2022;0(0):0-0. doi:<a href="https://doi.org/10.3934/mcrf.2022052">10.3934/mcrf.2022052</a>
  apa: Bonnard, B., Rouot, J., &#38; Wembe Moafo, B. E. (2022). Accessibility properties
    of abnormal geodesics in optimal control illustrated by two case studies. <i>Mathematical
    Control and Related Fields</i>, <i>0</i>(0), 0–0. <a href="https://doi.org/10.3934/mcrf.2022052">https://doi.org/10.3934/mcrf.2022052</a>
  bibtex: '@article{Bonnard_Rouot_Wembe Moafo_2022, title={Accessibility properties
    of abnormal geodesics in optimal control illustrated by two case studies}, volume={0},
    DOI={<a href="https://doi.org/10.3934/mcrf.2022052">10.3934/mcrf.2022052</a>},
    number={0}, journal={Mathematical Control and Related Fields}, publisher={American
    Institute of Mathematical Sciences (AIMS)}, author={Bonnard, Bernard and Rouot,
    Jérémy and Wembe Moafo, Boris Edgar}, year={2022}, pages={0–0} }'
  chicago: 'Bonnard, Bernard, Jérémy Rouot, and Boris Edgar Wembe Moafo. “Accessibility
    Properties of Abnormal Geodesics in Optimal Control Illustrated by Two Case Studies.”
    <i>Mathematical Control and Related Fields</i> 0, no. 0 (2022): 0–0. <a href="https://doi.org/10.3934/mcrf.2022052">https://doi.org/10.3934/mcrf.2022052</a>.'
  ieee: 'B. Bonnard, J. Rouot, and B. E. Wembe Moafo, “Accessibility properties of
    abnormal geodesics in optimal control illustrated by two case studies,” <i>Mathematical
    Control and Related Fields</i>, vol. 0, no. 0, pp. 0–0, 2022, doi: <a href="https://doi.org/10.3934/mcrf.2022052">10.3934/mcrf.2022052</a>.'
  mla: Bonnard, Bernard, et al. “Accessibility Properties of Abnormal Geodesics in
    Optimal Control Illustrated by Two Case Studies.” <i>Mathematical Control and
    Related Fields</i>, vol. 0, no. 0, American Institute of Mathematical Sciences
    (AIMS), 2022, pp. 0–0, doi:<a href="https://doi.org/10.3934/mcrf.2022052">10.3934/mcrf.2022052</a>.
  short: B. Bonnard, J. Rouot, B.E. Wembe Moafo, Mathematical Control and Related
    Fields 0 (2022) 0–0.
date_created: 2023-01-04T10:26:56Z
date_updated: 2023-01-16T12:07:51Z
doi: 10.3934/mcrf.2022052
issue: '0'
keyword:
- Applied Mathematics
- Control and Optimization
- General Medicine
language:
- iso: eng
page: 0-0
publication: Mathematical Control and Related Fields
publication_identifier:
  issn:
  - 2156-8472
  - 2156-8499
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: Accessibility properties of abnormal geodesics in optimal control illustrated
  by two case studies
type: journal_article
user_id: '95394'
volume: '0'
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: '34839'
abstract:
- lang: eng
  text: We describe the relations among the ℓ-torsion conjecture, a conjecture of
    Malle giving an upper bound for the number of extensions, and the discriminant
    multiplicity conjecture. We prove that the latter two conjectures are equivalent
    in some sense. Altogether, the three conjectures are equivalent for the class
    of solvable groups. We then prove the ℓ-torsion conjecture for ℓ-groups and the
    other two conjectures for nilpotent groups.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Jiuya
  full_name: Wang, Jiuya
  last_name: Wang
citation:
  ama: Klüners J, Wang J. ℓ-torsion bounds for the class group of number fields with
    an ℓ-group as Galois group. <i>Proceedings of the American Mathematical Society</i>.
    2022;150(7):2793-2805. doi:<a href="https://doi.org/10.1090/proc/15882">10.1090/proc/15882</a>
  apa: Klüners, J., &#38; Wang, J. (2022). ℓ-torsion bounds for the class group of
    number fields with an ℓ-group as Galois group. <i>Proceedings of the American
    Mathematical Society</i>, <i>150</i>(7), 2793–2805. <a href="https://doi.org/10.1090/proc/15882">https://doi.org/10.1090/proc/15882</a>
  bibtex: '@article{Klüners_Wang_2022, title={ℓ-torsion bounds for the class group
    of number fields with an ℓ-group as Galois group}, volume={150}, DOI={<a href="https://doi.org/10.1090/proc/15882">10.1090/proc/15882</a>},
    number={7}, journal={Proceedings of the American Mathematical Society}, publisher={American
    Mathematical Society (AMS)}, author={Klüners, Jürgen and Wang, Jiuya}, year={2022},
    pages={2793–2805} }'
  chicago: 'Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group
    of Number Fields with an ℓ-Group as Galois Group.” <i>Proceedings of the American
    Mathematical Society</i> 150, no. 7 (2022): 2793–2805. <a href="https://doi.org/10.1090/proc/15882">https://doi.org/10.1090/proc/15882</a>.'
  ieee: 'J. Klüners and J. Wang, “ℓ-torsion bounds for the class group of number fields
    with an ℓ-group as Galois group,” <i>Proceedings of the American Mathematical
    Society</i>, vol. 150, no. 7, pp. 2793–2805, 2022, doi: <a href="https://doi.org/10.1090/proc/15882">10.1090/proc/15882</a>.'
  mla: Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number
    Fields with an ℓ-Group as Galois Group.” <i>Proceedings of the American Mathematical
    Society</i>, vol. 150, no. 7, American Mathematical Society (AMS), 2022, pp. 2793–805,
    doi:<a href="https://doi.org/10.1090/proc/15882">10.1090/proc/15882</a>.
  short: J. Klüners, J. Wang, Proceedings of the American Mathematical Society 150
    (2022) 2793–2805.
date_created: 2022-12-22T10:47:01Z
date_updated: 2023-03-06T08:47:42Z
department:
- _id: '102'
doi: 10.1090/proc/15882
external_id:
  arxiv:
  - '2003.12161 '
intvolume: '       150'
issue: '7'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 2793-2805
publication: Proceedings of the American Mathematical Society
publication_identifier:
  issn:
  - 0002-9939
  - 1088-6826
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois
  group
type: journal_article
user_id: '93826'
volume: 150
year: '2022'
...
---
_id: '44236'
article_number: '117097'
author:
- first_name: Marc
  full_name: Wende, Marc
  id: '71302'
  last_name: Wende
- first_name: Christoph
  full_name: Staggenborg, Christoph
  last_name: Staggenborg
- first_name: Eugeny Y.
  full_name: Kenig, Eugeny Y.
  id: '665'
  last_name: Kenig
citation:
  ama: Wende M, Staggenborg C, Kenig EY. Modelling and simulation of zero-gravity
    distillation units with metal foams. <i>Chemical Engineering Science</i>. 2022;247.
    doi:<a href="https://doi.org/10.1016/j.ces.2021.117097">10.1016/j.ces.2021.117097</a>
  apa: Wende, M., Staggenborg, C., &#38; Kenig, E. Y. (2022). Modelling and simulation
    of zero-gravity distillation units with metal foams. <i>Chemical Engineering Science</i>,
    <i>247</i>, Article 117097. <a href="https://doi.org/10.1016/j.ces.2021.117097">https://doi.org/10.1016/j.ces.2021.117097</a>
  bibtex: '@article{Wende_Staggenborg_Kenig_2022, title={Modelling and simulation
    of zero-gravity distillation units with metal foams}, volume={247}, DOI={<a href="https://doi.org/10.1016/j.ces.2021.117097">10.1016/j.ces.2021.117097</a>},
    number={117097}, journal={Chemical Engineering Science}, publisher={Elsevier BV},
    author={Wende, Marc and Staggenborg, Christoph and Kenig, Eugeny Y.}, year={2022}
    }'
  chicago: Wende, Marc, Christoph Staggenborg, and Eugeny Y. Kenig. “Modelling and
    Simulation of Zero-Gravity Distillation Units with Metal Foams.” <i>Chemical Engineering
    Science</i> 247 (2022). <a href="https://doi.org/10.1016/j.ces.2021.117097">https://doi.org/10.1016/j.ces.2021.117097</a>.
  ieee: 'M. Wende, C. Staggenborg, and E. Y. Kenig, “Modelling and simulation of zero-gravity
    distillation units with metal foams,” <i>Chemical Engineering Science</i>, vol.
    247, Art. no. 117097, 2022, doi: <a href="https://doi.org/10.1016/j.ces.2021.117097">10.1016/j.ces.2021.117097</a>.'
  mla: Wende, Marc, et al. “Modelling and Simulation of Zero-Gravity Distillation
    Units with Metal Foams.” <i>Chemical Engineering Science</i>, vol. 247, 117097,
    Elsevier BV, 2022, doi:<a href="https://doi.org/10.1016/j.ces.2021.117097">10.1016/j.ces.2021.117097</a>.
  short: M. Wende, C. Staggenborg, E.Y. Kenig, Chemical Engineering Science 247 (2022).
date_created: 2023-04-27T16:06:49Z
date_updated: 2023-04-28T10:57:47Z
department:
- _id: '145'
doi: 10.1016/j.ces.2021.117097
intvolume: '       247'
keyword:
- Applied Mathematics
- Industrial and Manufacturing Engineering
- General Chemical Engineering
- General Chemistry
language:
- iso: eng
publication: Chemical Engineering Science
publication_identifier:
  issn:
  - 0009-2509
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Modelling and simulation of zero-gravity distillation units with metal foams
type: journal_article
user_id: '665'
volume: 247
year: '2022'
...
---
_id: '30591'
article_number: '117414'
author:
- first_name: René
  full_name: Bertling, René
  id: '30050'
  last_name: Bertling
- first_name: M.
  full_name: Hack, M.
  last_name: Hack
- first_name: I.
  full_name: Ausner, I.
  last_name: Ausner
- first_name: B.
  full_name: Horschitz, B.
  last_name: Horschitz
- first_name: Sören Antonius
  full_name: Bernemann, Sören Antonius
  id: '70108'
  last_name: Bernemann
- first_name: Eugeny
  full_name: Kenig, Eugeny
  id: '665'
  last_name: Kenig
citation:
  ama: Bertling R, Hack M, Ausner I, Horschitz B, Bernemann SA, Kenig E. Modelling
    film and rivulet flows on microstructured surfaces using CFD methods. <i>Chemical
    Engineering Science</i>. 2022;251. doi:<a href="https://doi.org/10.1016/j.ces.2021.117414">10.1016/j.ces.2021.117414</a>
  apa: Bertling, R., Hack, M., Ausner, I., Horschitz, B., Bernemann, S. A., &#38;
    Kenig, E. (2022). Modelling film and rivulet flows on microstructured surfaces
    using CFD methods. <i>Chemical Engineering Science</i>, <i>251</i>, Article 117414.
    <a href="https://doi.org/10.1016/j.ces.2021.117414">https://doi.org/10.1016/j.ces.2021.117414</a>
  bibtex: '@article{Bertling_Hack_Ausner_Horschitz_Bernemann_Kenig_2022, title={Modelling
    film and rivulet flows on microstructured surfaces using CFD methods}, volume={251},
    DOI={<a href="https://doi.org/10.1016/j.ces.2021.117414">10.1016/j.ces.2021.117414</a>},
    number={117414}, journal={Chemical Engineering Science}, publisher={Elsevier BV},
    author={Bertling, René and Hack, M. and Ausner, I. and Horschitz, B. and Bernemann,
    Sören Antonius and Kenig, Eugeny}, year={2022} }'
  chicago: Bertling, René, M. Hack, I. Ausner, B. Horschitz, Sören Antonius Bernemann,
    and Eugeny Kenig. “Modelling Film and Rivulet Flows on Microstructured Surfaces
    Using CFD Methods.” <i>Chemical Engineering Science</i> 251 (2022). <a href="https://doi.org/10.1016/j.ces.2021.117414">https://doi.org/10.1016/j.ces.2021.117414</a>.
  ieee: 'R. Bertling, M. Hack, I. Ausner, B. Horschitz, S. A. Bernemann, and E. Kenig,
    “Modelling film and rivulet flows on microstructured surfaces using CFD methods,”
    <i>Chemical Engineering Science</i>, vol. 251, Art. no. 117414, 2022, doi: <a
    href="https://doi.org/10.1016/j.ces.2021.117414">10.1016/j.ces.2021.117414</a>.'
  mla: Bertling, René, et al. “Modelling Film and Rivulet Flows on Microstructured
    Surfaces Using CFD Methods.” <i>Chemical Engineering Science</i>, vol. 251, 117414,
    Elsevier BV, 2022, doi:<a href="https://doi.org/10.1016/j.ces.2021.117414">10.1016/j.ces.2021.117414</a>.
  short: R. Bertling, M. Hack, I. Ausner, B. Horschitz, S.A. Bernemann, E. Kenig,
    Chemical Engineering Science 251 (2022).
date_created: 2022-03-28T07:26:33Z
date_updated: 2023-05-01T07:53:08Z
department:
- _id: '9'
- _id: '145'
doi: 10.1016/j.ces.2021.117414
intvolume: '       251'
keyword:
- Applied Mathematics
- Industrial and Manufacturing Engineering
- General Chemical Engineering
- General Chemistry
language:
- iso: eng
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Chemical Engineering Science
publication_identifier:
  issn:
  - 0009-2509
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Modelling film and rivulet flows on microstructured surfaces using CFD methods
type: journal_article
user_id: '30050'
volume: 251
year: '2022'
...
---
_id: '30382'
article_number: '117414'
author:
- first_name: R.
  full_name: Bertling, R.
  last_name: Bertling
- first_name: M.
  full_name: Hack, M.
  last_name: Hack
- first_name: I.
  full_name: Ausner, I.
  last_name: Ausner
- first_name: B.
  full_name: Horschitz, B.
  last_name: Horschitz
- first_name: S.
  full_name: Bernemann, S.
  last_name: Bernemann
- first_name: E.Y.
  full_name: Kenig, E.Y.
  last_name: Kenig
citation:
  ama: Bertling R, Hack M, Ausner I, Horschitz B, Bernemann S, Kenig EY. Modelling
    film and rivulet flows on microstructured surfaces using CFD methods. <i>Chemical
    Engineering Science</i>. 2022;251. doi:<a href="https://doi.org/10.1016/j.ces.2021.117414">10.1016/j.ces.2021.117414</a>
  apa: Bertling, R., Hack, M., Ausner, I., Horschitz, B., Bernemann, S., &#38; Kenig,
    E. Y. (2022). Modelling film and rivulet flows on microstructured surfaces using
    CFD methods. <i>Chemical Engineering Science</i>, <i>251</i>, Article 117414.
    <a href="https://doi.org/10.1016/j.ces.2021.117414">https://doi.org/10.1016/j.ces.2021.117414</a>
  bibtex: '@article{Bertling_Hack_Ausner_Horschitz_Bernemann_Kenig_2022, title={Modelling
    film and rivulet flows on microstructured surfaces using CFD methods}, volume={251},
    DOI={<a href="https://doi.org/10.1016/j.ces.2021.117414">10.1016/j.ces.2021.117414</a>},
    number={117414}, journal={Chemical Engineering Science}, publisher={Elsevier BV},
    author={Bertling, R. and Hack, M. and Ausner, I. and Horschitz, B. and Bernemann,
    S. and Kenig, E.Y.}, year={2022} }'
  chicago: Bertling, R., M. Hack, I. Ausner, B. Horschitz, S. Bernemann, and E.Y.
    Kenig. “Modelling Film and Rivulet Flows on Microstructured Surfaces Using CFD
    Methods.” <i>Chemical Engineering Science</i> 251 (2022). <a href="https://doi.org/10.1016/j.ces.2021.117414">https://doi.org/10.1016/j.ces.2021.117414</a>.
  ieee: 'R. Bertling, M. Hack, I. Ausner, B. Horschitz, S. Bernemann, and E. Y. Kenig,
    “Modelling film and rivulet flows on microstructured surfaces using CFD methods,”
    <i>Chemical Engineering Science</i>, vol. 251, Art. no. 117414, 2022, doi: <a
    href="https://doi.org/10.1016/j.ces.2021.117414">10.1016/j.ces.2021.117414</a>.'
  mla: Bertling, R., et al. “Modelling Film and Rivulet Flows on Microstructured Surfaces
    Using CFD Methods.” <i>Chemical Engineering Science</i>, vol. 251, 117414, Elsevier
    BV, 2022, doi:<a href="https://doi.org/10.1016/j.ces.2021.117414">10.1016/j.ces.2021.117414</a>.
  short: R. Bertling, M. Hack, I. Ausner, B. Horschitz, S. Bernemann, E.Y. Kenig,
    Chemical Engineering Science 251 (2022).
date_created: 2022-03-20T09:39:03Z
date_updated: 2023-05-01T07:54:36Z
doi: 10.1016/j.ces.2021.117414
intvolume: '       251'
keyword:
- Applied Mathematics
- Industrial and Manufacturing Engineering
- General Chemical Engineering
- General Chemistry
language:
- iso: eng
publication: Chemical Engineering Science
publication_identifier:
  issn:
  - 0009-2509
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Modelling film and rivulet flows on microstructured surfaces using CFD methods
type: journal_article
user_id: '30050'
volume: 251
year: '2022'
...
---
_id: '44468'
author:
- first_name: Stephan
  full_name: Schmidt, Stephan
  last_name: Schmidt
- first_name: Melanie
  full_name: Gräßer, Melanie
  last_name: Gräßer
- first_name: Hans-Joachim
  full_name: Schmid, Hans-Joachim
  id: '464'
  last_name: Schmid
  orcid: 000-0001-8590-1921
citation:
  ama: Schmidt S, Gräßer M, Schmid H-J. A Shape Newton Scheme for Deforming Shells
    with Application to Capillary Bridges. <i>SIAM Journal on Scientific Computing</i>.
    2022;44(4):B1175-B1194. doi:<a href="https://doi.org/10.1137/20m1389054">10.1137/20m1389054</a>
  apa: Schmidt, S., Gräßer, M., &#38; Schmid, H.-J. (2022). A Shape Newton Scheme
    for Deforming Shells with Application to Capillary Bridges. <i>SIAM Journal on
    Scientific Computing</i>, <i>44</i>(4), B1175–B1194. <a href="https://doi.org/10.1137/20m1389054">https://doi.org/10.1137/20m1389054</a>
  bibtex: '@article{Schmidt_Gräßer_Schmid_2022, title={A Shape Newton Scheme for Deforming
    Shells with Application to Capillary Bridges}, volume={44}, DOI={<a href="https://doi.org/10.1137/20m1389054">10.1137/20m1389054</a>},
    number={4}, journal={SIAM Journal on Scientific Computing}, publisher={Society
    for Industrial &#38; Applied Mathematics (SIAM)}, author={Schmidt, Stephan and
    Gräßer, Melanie and Schmid, Hans-Joachim}, year={2022}, pages={B1175–B1194} }'
  chicago: 'Schmidt, Stephan, Melanie Gräßer, and Hans-Joachim Schmid. “A Shape Newton
    Scheme for Deforming Shells with Application to Capillary Bridges.” <i>SIAM Journal
    on Scientific Computing</i> 44, no. 4 (2022): B1175–94. <a href="https://doi.org/10.1137/20m1389054">https://doi.org/10.1137/20m1389054</a>.'
  ieee: 'S. Schmidt, M. Gräßer, and H.-J. Schmid, “A Shape Newton Scheme for Deforming
    Shells with Application to Capillary Bridges,” <i>SIAM Journal on Scientific Computing</i>,
    vol. 44, no. 4, pp. B1175–B1194, 2022, doi: <a href="https://doi.org/10.1137/20m1389054">10.1137/20m1389054</a>.'
  mla: Schmidt, Stephan, et al. “A Shape Newton Scheme for Deforming Shells with Application
    to Capillary Bridges.” <i>SIAM Journal on Scientific Computing</i>, vol. 44, no.
    4, Society for Industrial &#38; Applied Mathematics (SIAM), 2022, pp. B1175–94,
    doi:<a href="https://doi.org/10.1137/20m1389054">10.1137/20m1389054</a>.
  short: S. Schmidt, M. Gräßer, H.-J. Schmid, SIAM Journal on Scientific Computing
    44 (2022) B1175–B1194.
date_created: 2023-05-04T08:18:41Z
date_updated: 2023-05-04T08:24:49Z
department:
- _id: '150'
doi: 10.1137/20m1389054
intvolume: '        44'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: B1175-B1194
publication: SIAM Journal on Scientific Computing
publication_identifier:
  issn:
  - 1064-8275
  - 1095-7197
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
quality_controlled: '1'
status: public
title: A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges
type: journal_article
user_id: '3959'
volume: 44
year: '2022'
...