---
_id: '21'
abstract:
- lang: eng
  text: "We address the general mathematical problem of computing the inverse p-th\r\nroot
    of a given matrix in an efficient way. A new method to construct iteration\r\nfunctions
    that allow calculating arbitrary p-th roots and their inverses of\r\nsymmetric
    positive definite matrices is presented. We show that the order of\r\nconvergence
    is at least quadratic and that adaptively adjusting a parameter q\r\nalways leads
    to an even faster convergence. In this way, a better performance\r\nthan with
    previously known iteration schemes is achieved. The efficiency of the\r\niterative
    functions is demonstrated for various matrices with different\r\ndensities, condition
    numbers and spectral radii."
author:
- first_name: Dorothee
  full_name: Richters, Dorothee
  last_name: Richters
- first_name: Michael
  full_name: Lass, Michael
  id: '24135'
  last_name: Lass
  orcid: 0000-0002-5708-7632
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Christian
  full_name: Plessl, Christian
  id: '16153'
  last_name: Plessl
  orcid: 0000-0001-5728-9982
- first_name: Thomas
  full_name: Kühne, Thomas
  id: '49079'
  last_name: Kühne
citation:
  ama: Richters D, Lass M, Walther A, Plessl C, Kühne T. A General Algorithm to Calculate
    the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. <i>Communications
    in Computational Physics</i>. 2019;25(2):564-585. doi:<a href="https://doi.org/10.4208/cicp.OA-2018-0053">10.4208/cicp.OA-2018-0053</a>
  apa: Richters, D., Lass, M., Walther, A., Plessl, C., &#38; Kühne, T. (2019). A
    General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive
    Definite Matrices. <i>Communications in Computational Physics</i>, <i>25</i>(2),
    564–585. <a href="https://doi.org/10.4208/cicp.OA-2018-0053">https://doi.org/10.4208/cicp.OA-2018-0053</a>
  bibtex: '@article{Richters_Lass_Walther_Plessl_Kühne_2019, title={A General Algorithm
    to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices},
    volume={25}, DOI={<a href="https://doi.org/10.4208/cicp.OA-2018-0053">10.4208/cicp.OA-2018-0053</a>},
    number={2}, journal={Communications in Computational Physics}, publisher={Global
    Science Press}, author={Richters, Dorothee and Lass, Michael and Walther, Andrea
    and Plessl, Christian and Kühne, Thomas}, year={2019}, pages={564–585} }'
  chicago: 'Richters, Dorothee, Michael Lass, Andrea Walther, Christian Plessl, and
    Thomas Kühne. “A General Algorithm to Calculate the Inverse Principal P-Th Root
    of Symmetric Positive Definite Matrices.” <i>Communications in Computational Physics</i>
    25, no. 2 (2019): 564–85. <a href="https://doi.org/10.4208/cicp.OA-2018-0053">https://doi.org/10.4208/cicp.OA-2018-0053</a>.'
  ieee: 'D. Richters, M. Lass, A. Walther, C. Plessl, and T. Kühne, “A General Algorithm
    to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices,”
    <i>Communications in Computational Physics</i>, vol. 25, no. 2, pp. 564–585, 2019,
    doi: <a href="https://doi.org/10.4208/cicp.OA-2018-0053">10.4208/cicp.OA-2018-0053</a>.'
  mla: Richters, Dorothee, et al. “A General Algorithm to Calculate the Inverse Principal
    P-Th Root of Symmetric Positive Definite Matrices.” <i>Communications in Computational
    Physics</i>, vol. 25, no. 2, Global Science Press, 2019, pp. 564–85, doi:<a href="https://doi.org/10.4208/cicp.OA-2018-0053">10.4208/cicp.OA-2018-0053</a>.
  short: D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in
    Computational Physics 25 (2019) 564–585.
date_created: 2017-07-25T14:48:26Z
date_updated: 2023-09-26T11:45:02Z
department:
- _id: '27'
- _id: '518'
- _id: '304'
- _id: '104'
doi: 10.4208/cicp.OA-2018-0053
external_id:
  arxiv:
  - '1703.02456'
intvolume: '        25'
issue: '2'
language:
- iso: eng
page: 564-585
project:
- _id: '32'
  grant_number: PL 595/2-1 / 320898746
  name: Performance and Efficiency in HPC with Custom Computing
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Communications in Computational Physics
publisher: Global Science Press
quality_controlled: '1'
status: public
title: A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric
  Positive Definite Matrices
type: journal_article
user_id: '15278'
volume: 25
year: '2019'
...
---
_id: '8482'
author:
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Veronika
  full_name: Schulze, Veronika
  last_name: Schulze
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
citation:
  ama: Jurgelucks B, Schulze V, Feldmann N, Claes L. <i>Arbitrary Sensitivity for
    Inverse Problems in Piezoelectricity</i>.; 2019.
  apa: Jurgelucks, B., Schulze, V., Feldmann, N., &#38; Claes, L. (2019). <i>Arbitrary
    sensitivity for inverse problems in piezoelectricity</i>.
  bibtex: '@book{Jurgelucks_Schulze_Feldmann_Claes_2019, place={GAMM Annual Meeting,
    Wien}, title={Arbitrary sensitivity for inverse problems in piezoelectricity},
    author={Jurgelucks, Benjamin and Schulze, Veronika and Feldmann, Nadine and Claes,
    Leander}, year={2019} }'
  chicago: Jurgelucks, Benjamin, Veronika Schulze, Nadine Feldmann, and Leander Claes.
    <i>Arbitrary Sensitivity for Inverse Problems in Piezoelectricity</i>. GAMM Annual
    Meeting, Wien, 2019.
  ieee: B. Jurgelucks, V. Schulze, N. Feldmann, and L. Claes, <i>Arbitrary sensitivity
    for inverse problems in piezoelectricity</i>. GAMM Annual Meeting, Wien, 2019.
  mla: Jurgelucks, Benjamin, et al. <i>Arbitrary Sensitivity for Inverse Problems
    in Piezoelectricity</i>. 2019.
  short: B. Jurgelucks, V. Schulze, N. Feldmann, L. Claes, Arbitrary Sensitivity for
    Inverse Problems in Piezoelectricity, GAMM Annual Meeting, Wien, 2019.
date_created: 2019-03-08T13:20:14Z
date_updated: 2026-01-05T07:53:43Z
department:
- _id: '104'
- _id: '49'
language:
- iso: eng
place: GAMM Annual Meeting, Wien
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
status: public
title: Arbitrary sensitivity for inverse problems in piezoelectricity
type: misc
user_id: '11829'
year: '2019'
...
---
_id: '6595'
author:
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
citation:
  ama: Feldmann N, Jurgelucks B, Claes L, Henning B. <i>Vollständige Charakterisierung
    von Piezoelektrischen Scheiben Mit Ringelektroden</i>. Workshop “Messtechnische
    Anwendungen von Ultraschall”, Drübeck; 2018.
  apa: Feldmann, N., Jurgelucks, B., Claes, L., &#38; Henning, B. (2018). <i>Vollständige
    Charakterisierung von piezoelektrischen Scheiben mit Ringelektroden</i>. Workshop
    “Messtechnische Anwendungen von Ultraschall”, Drübeck.
  bibtex: '@book{Feldmann_Jurgelucks_Claes_Henning_2018, place={Workshop “Messtechnische
    Anwendungen von Ultraschall”, Drübeck}, title={Vollständige Charakterisierung
    von piezoelektrischen Scheiben mit Ringelektroden}, author={Feldmann, Nadine and
    Jurgelucks, Benjamin and Claes, Leander and Henning, Bernd}, year={2018} }'
  chicago: Feldmann, Nadine, Benjamin Jurgelucks, Leander Claes, and Bernd Henning.
    <i>Vollständige Charakterisierung von Piezoelektrischen Scheiben Mit Ringelektroden</i>.
    Workshop “Messtechnische Anwendungen von Ultraschall”, Drübeck, 2018.
  ieee: N. Feldmann, B. Jurgelucks, L. Claes, and B. Henning, <i>Vollständige Charakterisierung
    von piezoelektrischen Scheiben mit Ringelektroden</i>. Workshop “Messtechnische
    Anwendungen von Ultraschall”, Drübeck, 2018.
  mla: Feldmann, Nadine, et al. <i>Vollständige Charakterisierung von Piezoelektrischen
    Scheiben Mit Ringelektroden</i>. 2018.
  short: N. Feldmann, B. Jurgelucks, L. Claes, B. Henning, Vollständige Charakterisierung
    von Piezoelektrischen Scheiben Mit Ringelektroden, Workshop “Messtechnische Anwendungen
    von Ultraschall”, Drübeck, 2018.
date_created: 2019-01-09T16:14:18Z
date_updated: 2022-01-06T07:03:13Z
department:
- _id: '49'
- _id: '104'
language:
- iso: eng
place: Workshop "Messtechnische Anwendungen von Ultraschall", Drübeck
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
status: public
title: Vollständige Charakterisierung von piezoelektrischen Scheiben mit Ringelektroden
type: misc
user_id: '11829'
year: '2018'
...
---
_id: '6571'
author:
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
citation:
  ama: Jurgelucks B, Claes L, Walther A, Henning B. Optimization of triple-ring electrodes
    on piezoceramic transducers using algorithmic differentiation. <i>Optimization
    Methods and Software</i>. 2018;33(4-6):868--888. doi:<a href="https://doi.org/10.1080/10556788.2018.1435652">10.1080/10556788.2018.1435652</a>
  apa: Jurgelucks, B., Claes, L., Walther, A., &#38; Henning, B. (2018). Optimization
    of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation.
    <i>Optimization Methods and Software</i>, <i>33</i>(4–6), 868--888. <a href="https://doi.org/10.1080/10556788.2018.1435652">https://doi.org/10.1080/10556788.2018.1435652</a>
  bibtex: '@article{Jurgelucks_Claes_Walther_Henning_2018, title={Optimization of
    triple-ring electrodes on piezoceramic transducers using algorithmic differentiation},
    volume={33}, DOI={<a href="https://doi.org/10.1080/10556788.2018.1435652">10.1080/10556788.2018.1435652</a>},
    number={4–6}, journal={Optimization Methods and Software}, publisher={Taylor and
    Francis Ltd.}, author={Jurgelucks, Benjamin and Claes, Leander and Walther, Andrea
    and Henning, Bernd}, year={2018}, pages={868--888} }'
  chicago: 'Jurgelucks, Benjamin, Leander Claes, Andrea Walther, and Bernd Henning.
    “Optimization of Triple-Ring Electrodes on Piezoceramic Transducers Using Algorithmic
    Differentiation.” <i>Optimization Methods and Software</i> 33, no. 4–6 (2018):
    868--888. <a href="https://doi.org/10.1080/10556788.2018.1435652">https://doi.org/10.1080/10556788.2018.1435652</a>.'
  ieee: 'B. Jurgelucks, L. Claes, A. Walther, and B. Henning, “Optimization of triple-ring
    electrodes on piezoceramic transducers using algorithmic differentiation,” <i>Optimization
    Methods and Software</i>, vol. 33, no. 4–6, pp. 868--888, 2018, doi: <a href="https://doi.org/10.1080/10556788.2018.1435652">10.1080/10556788.2018.1435652</a>.'
  mla: Jurgelucks, Benjamin, et al. “Optimization of Triple-Ring Electrodes on Piezoceramic
    Transducers Using Algorithmic Differentiation.” <i>Optimization Methods and Software</i>,
    vol. 33, no. 4–6, Taylor and Francis Ltd., 2018, pp. 868--888, doi:<a href="https://doi.org/10.1080/10556788.2018.1435652">10.1080/10556788.2018.1435652</a>.
  short: B. Jurgelucks, L. Claes, A. Walther, B. Henning, Optimization Methods and
    Software 33 (2018) 868--888.
date_created: 2019-01-09T14:37:20Z
date_updated: 2023-06-13T08:06:44Z
department:
- _id: '49'
- _id: '104'
doi: 10.1080/10556788.2018.1435652
intvolume: '        33'
issue: 4-6
language:
- iso: eng
page: 868--888
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
publication: Optimization Methods and Software
publication_identifier:
  issn:
  - 1055-6788
publisher: Taylor and Francis Ltd.
quality_controlled: '1'
status: public
title: Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic
  differentiation
type: journal_article
user_id: '11829'
volume: 33
year: '2018'
...
---
_id: '6572'
author:
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Nadine
  full_name: Feldmann, Nadine
  id: '23082'
  last_name: Feldmann
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
- first_name: Bernd
  full_name: Henning, Bernd
  id: '213'
  last_name: Henning
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
citation:
  ama: 'Jurgelucks B, Feldmann N, Claes L, Henning B, Walther A. Material parameter
    determination of a piezoelectric disc with triple-ring-electrodes for increased
    sensitivity. In: <i>Proceedings of Meetings on Acoustics</i>. Honolulu; 2017:030010.
    doi:<a href="https://doi.org/10.1121/2.0000707">10.1121/2.0000707</a>'
  apa: Jurgelucks, B., Feldmann, N., Claes, L., Henning, B., &#38; Walther, A. (2017).
    Material parameter determination of a piezoelectric disc with triple-ring-electrodes
    for increased sensitivity. In <i>Proceedings of Meetings on Acoustics</i> (p.
    030010). Honolulu. <a href="https://doi.org/10.1121/2.0000707">https://doi.org/10.1121/2.0000707</a>
  bibtex: '@inproceedings{Jurgelucks_Feldmann_Claes_Henning_Walther_2017, place={Honolulu},
    title={Material parameter determination of a piezoelectric disc with triple-ring-electrodes
    for increased sensitivity}, DOI={<a href="https://doi.org/10.1121/2.0000707">10.1121/2.0000707</a>},
    booktitle={Proceedings of Meetings on Acoustics}, author={Jurgelucks, Benjamin
    and Feldmann, Nadine and Claes, Leander and Henning, Bernd and Walther, Andrea},
    year={2017}, pages={030010} }'
  chicago: Jurgelucks, Benjamin, Nadine Feldmann, Leander Claes, Bernd Henning, and
    Andrea Walther. “Material Parameter Determination of a Piezoelectric Disc with
    Triple-Ring-Electrodes for Increased Sensitivity.” In <i>Proceedings of Meetings
    on Acoustics</i>, 030010. Honolulu, 2017. <a href="https://doi.org/10.1121/2.0000707">https://doi.org/10.1121/2.0000707</a>.
  ieee: B. Jurgelucks, N. Feldmann, L. Claes, B. Henning, and A. Walther, “Material
    parameter determination of a piezoelectric disc with triple-ring-electrodes for
    increased sensitivity,” in <i>Proceedings of Meetings on Acoustics</i>, 2017,
    p. 030010.
  mla: Jurgelucks, Benjamin, et al. “Material Parameter Determination of a Piezoelectric
    Disc with Triple-Ring-Electrodes for Increased Sensitivity.” <i>Proceedings of
    Meetings on Acoustics</i>, 2017, p. 030010, doi:<a href="https://doi.org/10.1121/2.0000707">10.1121/2.0000707</a>.
  short: 'B. Jurgelucks, N. Feldmann, L. Claes, B. Henning, A. Walther, in: Proceedings
    of Meetings on Acoustics, Honolulu, 2017, p. 030010.'
date_created: 2019-01-09T14:37:21Z
date_updated: 2022-01-06T07:03:12Z
department:
- _id: '49'
- _id: '104'
doi: 10.1121/2.0000707
language:
- iso: eng
page: '030010'
place: Honolulu
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
publication: Proceedings of Meetings on Acoustics
status: public
title: Material parameter determination of a piezoelectric disc with triple-ring-electrodes
  for increased sensitivity
type: conference
user_id: '23082'
year: '2017'
...
---
_id: '33'
abstract:
- lang: eng
  text: Lightweight materials play an ever growing role in today's world. Saving on
    the mass of a machine will usually translate into a lower energy consumption.
    However, lightweight applications are prone to develop performance problems due
    to vibration induced by the operation of the machine. The Fraunhofer Institute
    for Manufacturing Technology and Advanced Materials in Dresden conducts research
    into the damping properties of composite materials. They are experimenting with
    hollow, particle filled spheres embedded in the lightweight material. Such a system
    is the technical motivation of this thesis. Ultimately, a numerical experiment
    to derive the coefficient of restitution is required. The simulation developed
    in this thesis is based on a discrete element method to track the individual particle
    and sphere trajectories. Based on a potential based approach for the particle
    interactions deployed in molecular dynamics, the behavior of the particles can
    be controlled effectively. The simulated volume is using reflecting boundaries
    and encloses the hollow sphere. In this work, a highly flexible memory structure
    was used with a linked cell approach to cope with the highly flexible mass of
    particles. This allows for a linear complexity of the method in regard to the
    particle number by reducing the computational overhead of the interaction computation.
    Multiple numerical experiments show the great effect the particles have on the
    damping behavior of the system.
- lang: ger
  text: In vielen technischen Anwendungen spielt heute der Leichtbau eine große Rolle,
    denn durch Gewichtseinsparungen lässt sich auch Energie einsparen. Allerdings
    birgt der Leichtbau die Gefahr einer erhöhten Störanfälligkeit gegenüber Vibrationen,
    die durch die Operation von Maschinen entstehen können. Das Fraunhofer Institut
    für Fertigungstechnik und Angewandte Materialforschung in Dresden beschäftigt
    sich mit den Möglichkeiten einer Schwingungsdämpfung durch Verbundwerkstoffe.
    Dabei wird in die Leichtbaustruktur eine Vielzahl von Hohlkugeln eingebracht,
    die mit Keramikpartikeln gefüllt sind. Diese Fragestellung bildet die technische
    Motivation für diese Arbeit. Ziel ist, ein Experiment zur Bestimmung des Restitutionskoeffizienten
    numerisch nachzubilden. Die Simulation basiert auf einer Diskreten Elemente Methode
    um die Trajektorien der einzelnen Partikel und der Kugel berechnen zu können.
    Basierend auf einem Potentialansatz für die Interaktionsberechnung in der Molekulardynamik
    kann das Reibungsverhalten vielfältig angepasst werden. Das Simulationsvolumen
    wird durch reflektierende Randbedingungen abgeschlossen und umfasst die Kugelhülle.
    Dazu kam eine hochflexible Speicherstruktur zum Einsatz, um die heterogene Verteilung
    der Partikel im Raum mit einer effizienten Linked Cell Methode abbilden zu können.
    Dadurch wird eine in der Partikelzahl lineare Komplexität erreicht. Umfangreiche
    numerische Experimente zeigen den großen Effekt der Partikelfüllung auf das Dämpfungsverhalten.
author:
- first_name: Tobias
  full_name: Steinle, Tobias
  last_name: Steinle
citation:
  ama: Steinle T. <i>Modeling and Simulation of Metallic, Particle-Damped Spheres
    for Lightweight Materials</i>.; 2016.
  apa: Steinle, T. (2016). <i>Modeling and simulation of metallic, particle-damped
    spheres for lightweight materials</i>.
  bibtex: '@book{Steinle_2016, title={Modeling and simulation of metallic, particle-damped
    spheres for lightweight materials}, author={Steinle, Tobias}, year={2016} }'
  chicago: Steinle, Tobias. <i>Modeling and Simulation of Metallic, Particle-Damped
    Spheres for Lightweight Materials</i>, 2016.
  ieee: T. Steinle, <i>Modeling and simulation of metallic, particle-damped spheres
    for lightweight materials</i>. 2016.
  mla: Steinle, Tobias. <i>Modeling and Simulation of Metallic, Particle-Damped Spheres
    for Lightweight Materials</i>. 2016.
  short: T. Steinle, Modeling and Simulation of Metallic, Particle-Damped Spheres
    for Lightweight Materials, 2016.
date_created: 2017-07-26T15:19:44Z
date_updated: 2022-01-06T06:59:09Z
department:
- _id: '27'
- _id: '104'
- _id: '155'
language:
- iso: eng
main_file_link:
- url: http://nbn-resolving.de/urn:nbn:de:hbz:466:2-24042
status: public
supervisor:
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Jadran
  full_name: Vrabec, Jadran
  last_name: Vrabec
title: Modeling and simulation of metallic, particle-damped spheres for lightweight
  materials
type: dissertation
user_id: '24135'
year: '2016'
...
---
_id: '6569'
author:
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
citation:
  ama: Jurgelucks B, Claes L. <i>Increasing the Sensitivity of Impedance with Respect
    to Material Parameters of Triple-Ring Electrode Piezoelectric Transducers Using
    Algorithmic Differentiation</i>. Workshop on Direct and Inverse Problems in Piezoelectricity,
    Erlangen; 2016.
  apa: Jurgelucks, B., &#38; Claes, L. (2016). <i>Increasing the Sensitivity of Impedance
    with Respect to Material Parameters of Triple-Ring Electrode Piezoelectric Transducers
    using Algorithmic Differentiation</i>. Workshop on Direct and Inverse Problems
    in Piezoelectricity, Erlangen.
  bibtex: '@book{Jurgelucks_Claes_2016, place={Workshop on Direct and Inverse Problems
    in Piezoelectricity, Erlangen}, title={Increasing the Sensitivity of Impedance
    with Respect to Material Parameters of Triple-Ring Electrode Piezoelectric Transducers
    using Algorithmic Differentiation}, author={Jurgelucks, Benjamin and Claes, Leander},
    year={2016} }'
  chicago: Jurgelucks, Benjamin, and Leander Claes. <i>Increasing the Sensitivity
    of Impedance with Respect to Material Parameters of Triple-Ring Electrode Piezoelectric
    Transducers Using Algorithmic Differentiation</i>. Workshop on Direct and Inverse
    Problems in Piezoelectricity, Erlangen, 2016.
  ieee: B. Jurgelucks and L. Claes, <i>Increasing the Sensitivity of Impedance with
    Respect to Material Parameters of Triple-Ring Electrode Piezoelectric Transducers
    using Algorithmic Differentiation</i>. Workshop on Direct and Inverse Problems
    in Piezoelectricity, Erlangen, 2016.
  mla: Jurgelucks, Benjamin, and Leander Claes. <i>Increasing the Sensitivity of Impedance
    with Respect to Material Parameters of Triple-Ring Electrode Piezoelectric Transducers
    Using Algorithmic Differentiation</i>. 2016.
  short: B. Jurgelucks, L. Claes, Increasing the Sensitivity of Impedance with Respect
    to Material Parameters of Triple-Ring Electrode Piezoelectric Transducers Using
    Algorithmic Differentiation, Workshop on Direct and Inverse Problems in Piezoelectricity,
    Erlangen, 2016.
date_created: 2019-01-09T14:37:18Z
date_updated: 2022-01-06T07:03:12Z
department:
- _id: '49'
- _id: '104'
language:
- iso: eng
place: Workshop on Direct and Inverse Problems in Piezoelectricity, Erlangen
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
status: public
title: Increasing the Sensitivity of Impedance with Respect to Material Parameters
  of Triple-Ring Electrode Piezoelectric Transducers using Algorithmic Differentiation
type: misc
user_id: '11829'
year: '2016'
...
---
_id: '6570'
author:
- first_name: Benjamin
  full_name: Jurgelucks, Benjamin
  last_name: Jurgelucks
- first_name: Leander
  full_name: Claes, Leander
  id: '11829'
  last_name: Claes
  orcid: 0000-0002-4393-268X
citation:
  ama: 'Jurgelucks B, Claes L. Optimisation of triple-ring-electrodes on piezoceramic
    transducers using algorithmic differentiation. In: <i>AD2016 The 7th International
    Conference on Algorithmic Differentiation</i>. ; 2016:99-102.'
  apa: Jurgelucks, B., &#38; Claes, L. (2016). Optimisation of triple-ring-electrodes
    on piezoceramic transducers using algorithmic differentiation. In <i>AD2016 The
    7th International Conference on Algorithmic Differentiation</i> (pp. 99–102).
    Christ Church, Oxford, United Kingdom.
  bibtex: '@inproceedings{Jurgelucks_Claes_2016, title={Optimisation of triple-ring-electrodes
    on piezoceramic transducers using algorithmic differentiation}, booktitle={AD2016
    The 7th International Conference on Algorithmic Differentiation}, author={Jurgelucks,
    Benjamin and Claes, Leander}, year={2016}, pages={99–102} }'
  chicago: Jurgelucks, Benjamin, and Leander Claes. “Optimisation of Triple-Ring-Electrodes
    on Piezoceramic Transducers Using Algorithmic Differentiation.” In <i>AD2016 The
    7th International Conference on Algorithmic Differentiation</i>, 99–102, 2016.
  ieee: B. Jurgelucks and L. Claes, “Optimisation of triple-ring-electrodes on piezoceramic
    transducers using algorithmic differentiation,” in <i>AD2016 The 7th International
    Conference on Algorithmic Differentiation</i>, Christ Church, Oxford, United Kingdom,
    2016, pp. 99–102.
  mla: Jurgelucks, Benjamin, and Leander Claes. “Optimisation of Triple-Ring-Electrodes
    on Piezoceramic Transducers Using Algorithmic Differentiation.” <i>AD2016 The
    7th International Conference on Algorithmic Differentiation</i>, 2016, pp. 99–102.
  short: 'B. Jurgelucks, L. Claes, in: AD2016 The 7th International Conference on
    Algorithmic Differentiation, 2016, pp. 99–102.'
conference:
  location: Christ Church, Oxford, United Kingdom
  name: AD2016 The 7th International Conference on Algorithmic Differentiation
date_created: 2019-01-09T14:37:19Z
date_updated: 2022-01-06T07:03:12Z
department:
- _id: '49'
- _id: '104'
language:
- iso: eng
page: 99-102
project:
- _id: '90'
  name: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen
    Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums
publication: AD2016 The 7th International Conference on Algorithmic Differentiation
status: public
title: Optimisation of triple-ring-electrodes on piezoceramic transducers using algorithmic
  differentiation
type: conference
user_id: '11829'
year: '2016'
...
---
_id: '1769'
abstract:
- lang: eng
  text: 'Große zylindrische Stahlprüflinge werden mittels der Methode der finiten
    Differenzen im Zeitbereich (engl. finite differences in time domain, FDTD) simulativ
    untersucht. Dabei werden Pitch-Catch-Messanordnungen verwendet. Es werden zwei
    Bildgebungsansätze vorgestellt: ersterer basiert auf dem Imaging Principle nach
    Claerbout, letzterer basiert auf gradientenbasierter Optimierung eines Zielfunktionals.'
author:
- first_name: Sebastian
  full_name: Hegler, Sebastian
  last_name: Hegler
- first_name: Christoph
  full_name: Statz, Christoph
  last_name: Statz
- first_name: Marco
  full_name: Mütze, Marco
  last_name: Mütze
- first_name: Hubert
  full_name: Mooshofer, Hubert
  last_name: Mooshofer
- first_name: Matthias
  full_name: Goldammer, Matthias
  last_name: Goldammer
- first_name: Karl
  full_name: Fendt, Karl
  last_name: Fendt
- first_name: Stefan
  full_name: Schwarzer, Stefan
  last_name: Schwarzer
- first_name: Kim
  full_name: Feldhoff, Kim
  last_name: Feldhoff
- first_name: Martin
  full_name: Flehmig, Martin
  last_name: Flehmig
- first_name: Ulf
  full_name: Markwardt, Ulf
  last_name: Markwardt
- first_name: Wolfgang
  full_name: E. Nagel, Wolfgang
  last_name: E. Nagel
- first_name: Maria
  full_name: Schütte, Maria
  last_name: Schütte
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Michael
  full_name: Meinel, Michael
  last_name: Meinel
- first_name: Achim
  full_name: Basermann, Achim
  last_name: Basermann
- first_name: Dirk
  full_name: Plettemeier, Dirk
  last_name: Plettemeier
citation:
  ama: Hegler S, Statz C, Mütze M, et al. Simulative Ultraschall-Untersuchung von
    Pitch-Catch-Messanordnungen für große zylindrische Stahl-Prüflinge und gradientenbasierte
    Bildgebung. <i>tm - Technisches Messen</i>. 2015;82(9):440-450. doi:<a href="https://doi.org/doi:10.1515/teme-2015-0031">doi:10.1515/teme-2015-0031</a>
  apa: Hegler, S., Statz, C., Mütze, M., Mooshofer, H., Goldammer, M., Fendt, K.,
    … Plettemeier, D. (2015). Simulative Ultraschall-Untersuchung von Pitch-Catch-Messanordnungen
    für große zylindrische Stahl-Prüflinge und gradientenbasierte Bildgebung. <i>Tm
    - Technisches Messen</i>, <i>82</i>(9), 440–450. <a href="https://doi.org/doi:10.1515/teme-2015-0031">https://doi.org/doi:10.1515/teme-2015-0031</a>
  bibtex: '@article{Hegler_Statz_Mütze_Mooshofer_Goldammer_Fendt_Schwarzer_Feldhoff_Flehmig_Markwardt_et
    al._2015, title={Simulative Ultraschall-Untersuchung von Pitch-Catch-Messanordnungen
    für große zylindrische Stahl-Prüflinge und gradientenbasierte Bildgebung}, volume={82},
    DOI={<a href="https://doi.org/doi:10.1515/teme-2015-0031">doi:10.1515/teme-2015-0031</a>},
    number={9}, journal={tm - Technisches Messen}, publisher={Walter de Gruyter},
    author={Hegler, Sebastian and Statz, Christoph and Mütze, Marco and Mooshofer,
    Hubert and Goldammer, Matthias and Fendt, Karl and Schwarzer, Stefan and Feldhoff,
    Kim and Flehmig, Martin and Markwardt, Ulf and et al.}, year={2015}, pages={440–450}
    }'
  chicago: 'Hegler, Sebastian, Christoph Statz, Marco Mütze, Hubert Mooshofer, Matthias
    Goldammer, Karl Fendt, Stefan Schwarzer, et al. “Simulative Ultraschall-Untersuchung
    von Pitch-Catch-Messanordnungen Für Große Zylindrische Stahl-Prüflinge Und Gradientenbasierte
    Bildgebung.” <i>Tm - Technisches Messen</i> 82, no. 9 (2015): 440–50. <a href="https://doi.org/doi:10.1515/teme-2015-0031">https://doi.org/doi:10.1515/teme-2015-0031</a>.'
  ieee: S. Hegler <i>et al.</i>, “Simulative Ultraschall-Untersuchung von Pitch-Catch-Messanordnungen
    für große zylindrische Stahl-Prüflinge und gradientenbasierte Bildgebung,” <i>tm
    - Technisches Messen</i>, vol. 82, no. 9, pp. 440–450, 2015.
  mla: Hegler, Sebastian, et al. “Simulative Ultraschall-Untersuchung von Pitch-Catch-Messanordnungen
    Für Große Zylindrische Stahl-Prüflinge Und Gradientenbasierte Bildgebung.” <i>Tm
    - Technisches Messen</i>, vol. 82, no. 9, Walter de Gruyter, 2015, pp. 440–50,
    doi:<a href="https://doi.org/doi:10.1515/teme-2015-0031">doi:10.1515/teme-2015-0031</a>.
  short: S. Hegler, C. Statz, M. Mütze, H. Mooshofer, M. Goldammer, K. Fendt, S. Schwarzer,
    K. Feldhoff, M. Flehmig, U. Markwardt, W. E. Nagel, M. Schütte, A. Walther, M.
    Meinel, A. Basermann, D. Plettemeier, Tm - Technisches Messen 82 (2015) 440–450.
date_created: 2018-03-23T14:01:39Z
date_updated: 2022-01-06T06:53:17Z
department:
- _id: '27'
- _id: '104'
doi: doi:10.1515/teme-2015-0031
intvolume: '        82'
issue: '9'
page: 440-450
publication: tm - Technisches Messen
publisher: Walter de Gruyter
status: public
title: Simulative Ultraschall-Untersuchung von Pitch-Catch-Messanordnungen für große
  zylindrische Stahl-Prüflinge und gradientenbasierte Bildgebung
type: journal_article
user_id: '24135'
volume: 82
year: '2015'
...
---
_id: '1781'
abstract:
- lang: eng
  text: In light of an increasing awareness of environmental challenges, extensive
    research is underway to develop new light-weight materials. A problem arising
    with these materials is their increased response to vibration. This can be solved
    using a new composite material that contains embedded hollow spheres that are
    partially filled with particles. Progress on the adaptation of molecular dynamics
    towards a particle-based numerical simulation of this material is reported. This
    includes the treatment of specific boundary conditions and the adaption of the
    force computation. First results are presented that showcase the damping properties
    of such particle-filled spheres in a bouncing experiment.
author:
- first_name: Tobias
  full_name: Steinle, Tobias
  last_name: Steinle
- first_name: Jadran
  full_name: Vrabec, Jadran
  last_name: Vrabec
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
citation:
  ama: 'Steinle T, Vrabec J, Walther A. Numerical Simulation of the Damping Behavior
    of Particle-Filled Hollow Spheres. In: Bock HG, Hoang XP, Rannacher R, Schlöder
    JP, eds. <i>Proc. Modeling, Simulation and Optimization of Complex Processes (HPSC)</i>.
    Springer International Publishing; 2014:233-243. doi:<a href="https://doi.org/10.1007/978-3-319-09063-4_19">10.1007/978-3-319-09063-4_19</a>'
  apa: Steinle, T., Vrabec, J., &#38; Walther, A. (2014). Numerical Simulation of
    the Damping Behavior of Particle-Filled Hollow Spheres. In H. G. Bock, X. P. Hoang,
    R. Rannacher, &#38; J. P. Schlöder (Eds.), <i>Proc. Modeling, Simulation and Optimization
    of Complex Processes (HPSC)</i> (pp. 233–243). Springer International Publishing.
    <a href="https://doi.org/10.1007/978-3-319-09063-4_19">https://doi.org/10.1007/978-3-319-09063-4_19</a>
  bibtex: '@inproceedings{Steinle_Vrabec_Walther_2014, title={Numerical Simulation
    of the Damping Behavior of Particle-Filled Hollow Spheres}, DOI={<a href="https://doi.org/10.1007/978-3-319-09063-4_19">10.1007/978-3-319-09063-4_19</a>},
    booktitle={Proc. Modeling, Simulation and Optimization of Complex Processes (HPSC)},
    publisher={Springer International Publishing}, author={Steinle, Tobias and Vrabec,
    Jadran and Walther, Andrea}, editor={Bock, Hans Georg and Hoang, Xuan Phu and
    Rannacher, Rolf and Schlöder, Johannes P.Editors}, year={2014}, pages={233–243}
    }'
  chicago: Steinle, Tobias, Jadran Vrabec, and Andrea Walther. “Numerical Simulation
    of the Damping Behavior of Particle-Filled Hollow Spheres.” In <i>Proc. Modeling,
    Simulation and Optimization of Complex Processes (HPSC)</i>, edited by Hans Georg
    Bock, Xuan Phu Hoang, Rolf Rannacher, and Johannes P. Schlöder, 233–43. Springer
    International Publishing, 2014. <a href="https://doi.org/10.1007/978-3-319-09063-4_19">https://doi.org/10.1007/978-3-319-09063-4_19</a>.
  ieee: T. Steinle, J. Vrabec, and A. Walther, “Numerical Simulation of the Damping
    Behavior of Particle-Filled Hollow Spheres,” in <i>Proc. Modeling, Simulation
    and Optimization of Complex Processes (HPSC)</i>, 2014, pp. 233–243.
  mla: Steinle, Tobias, et al. “Numerical Simulation of the Damping Behavior of Particle-Filled
    Hollow Spheres.” <i>Proc. Modeling, Simulation and Optimization of Complex Processes
    (HPSC)</i>, edited by Hans Georg Bock et al., Springer International Publishing,
    2014, pp. 233–43, doi:<a href="https://doi.org/10.1007/978-3-319-09063-4_19">10.1007/978-3-319-09063-4_19</a>.
  short: 'T. Steinle, J. Vrabec, A. Walther, in: H.G. Bock, X.P. Hoang, R. Rannacher,
    J.P. Schlöder (Eds.), Proc. Modeling, Simulation and Optimization of Complex Processes
    (HPSC), Springer International Publishing, 2014, pp. 233–243.'
date_created: 2018-03-26T13:47:16Z
date_updated: 2022-01-06T06:53:20Z
department:
- _id: '27'
- _id: '104'
- _id: '155'
doi: 10.1007/978-3-319-09063-4_19
editor:
- first_name: Hans Georg
  full_name: Bock, Hans Georg
  last_name: Bock
- first_name: Xuan Phu
  full_name: Hoang, Xuan Phu
  last_name: Hoang
- first_name: Rolf
  full_name: Rannacher, Rolf
  last_name: Rannacher
- first_name: Johannes P.
  full_name: Schlöder, Johannes P.
  last_name: Schlöder
page: 233-243
publication: Proc. Modeling, Simulation and Optimization of Complex Processes (HPSC)
publication_identifier:
  isbn:
  - 978-3-319-09063-4
publisher: Springer International Publishing
status: public
title: Numerical Simulation of the Damping Behavior of Particle-Filled Hollow Spheres
type: conference
user_id: '24135'
year: '2014'
...
