Forschung
Least-Squares-Methoden für elastische Kontaktprobleme
Etablierung von Least-Squares-Methoden für elastische Kontaktprobleme zusammen mit Professor Gerhard Starke und Professor Zhiqiang Cai.
Vorträge
- Active Set Kernel Method for First-Order System Least Squares For The Signorini Contact Problem In Linear Elasticity.
ECCM 2010, Paris, France, 16.--21. Mai 2010 - First-Order System Least Squares For The Signorini Contact Problem In Linear Elasticity.
Mafelap 2009, Brunel University, 9.--12. Jun. 2009 - 1st-Order System LS Methods For The Signorini Contact Problem In Linear Elasticity.
ICIAM 2007, Zurich, 16.--20. Jul. 2007
Finite Elemente
Entwicklung eines effizienten FE-Multilevelverfahrens mit dem nichtkonformen finiten Element von Mardal, Tai und Winther für kompressible und inkompressible planare Elastizitätsprobleme.
Vorträge
- Robuste Mehrgitter-Vorkonditionierung für lineare Elastizität mit dem Finiten Element von Mardal, Tai und Winther.
Promotionsvortrag, Universität Hannover, 26. Juni 2006 - The use of the MTW element in a MGM for linear Elasticity.
GAMM 2006, Berlin, 27.--31. Mar. 2006 - A Multilevel Method for the nonconforming element of Mardal, Tai und Winther applied to linear elasticity.
EMG, Den Haag (Scheveningen), 27.--30. Sep. 2005 - Iterative methods for the nonconforming spaces of Mardal, Tai and Winther.
Dresden, 21.-- 26. März 2004 - Iterative Verfahren für die nichtkonformen Räume von Mardal, Tai und Winther.
Möhnesee, 1./2. Oktober 2003
Veröffentlichungen
Artikel
- Frank S. Attia, Zhiqiang Cai, and Gerhard Starke: First-order system least squares for the Signorini contact problem in linear elasticity, SIAM J. Numer. Anal. 47, 2009, pp. 3027--3043.
- Frank S. Attia and Gerhard Starke: On Discrete Korn's Inequality for some Nonconforming Finite Element Approaches to Linear Elasticity, Proc. Appl. Math. Mech. 5 (2005), 823-824.
Doktorarbeit
- Frank S. Attia: Robust Multigrid for planar Elasticity with the nonconforming Elements of Mardal, Tai & Winther, Thesis, 26.06.2006
Pubklikationen des Intituts
Zeige Ergebnisse 41 - 60 von 65
Jodlbauer, D, Langer, U, Wick, T & Zulehner, W 2024, 'Matrix-Free Monolithic Multigrid Methods for Stokes and Generalized Stokes Problems', SIAM Journal on Scientific Computing, Jg. 46, Nr. 3, S. A1599-A1627. https://doi.org/10.48550/arXiv.2205.15770, https://doi.org/10.1137/22M1504184
Junker, P & Wick, T 2024, 'Space-time variational material modeling: a new paradigm demonstrated for thermo-mechanically coupled wave propagation, visco-elasticity, elasto-plasticity with hardening, and gradient-enhanced damage', Computational mechanics, Jg. 73, Nr. 2, S. 365-402. https://doi.org/10.1007/s00466-023-02371-2
Junker, P, Roth, J & Wick, T 2024, Space-time variational material modeling: Numerical simulations for the wave equation with velocity initial and final time condictions. in A Korobenko, M Laforest, S Prudhomme & R Vaziri (Hrsg.), 16th World Congress in Computational Mechanics (WCCM). World Congress in Computational Mechanics and ECCOMAS Congress, International Centre for Numerical Methods in Engineering, CIMNE, 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, WCCM-PANACM 2024, Vancouver, Kanada, 21 Juli 2024. https://doi.org/10.23967/wccm.2024.036
Knoke, T, Kinnewig, S, Beuchler, S & Wick, T 2024, Neural Network Interface Condition Approximation in a Domain Decomposition Method Applied to Maxwell’s Equations. in Z Dostal, T Kozubek, A Klawonn, LF Pavarino, OB Widlund, U Langer & J Sístek (Hrsg.), Domain Decomposition Methods in Science and Engineering XXVII. Lecture Notes in Computational Science and Engineering, Bd. 149, Springer Science and Business Media Deutschland GmbH, S. 271-278, 27th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2022, Prague, Tschechische Republik, 25 Juli 2022. https://doi.org/10.1007/978-3-031-50769-4_32
Kohatsu, S & Lankeit, J 2024, 'Large densities in a competitive two-species chemotaxis system in the non-symmetric case', Communications on Pure and Applied Analysis, Jg. 23, Nr. 9, S. 1296-1324. https://doi.org/10.48550/arXiv.2401.17521, https://doi.org/10.3934/cpaa.2024057
Kolditz, LM, Dray, S, Kosin, V, Fau, A, Hild, F & Wick, T 2024, 'Employing Williams’ series for the identification of fracture mechanics parameters from phase-field simulations', Engineering fracture mechanics, Jg. 307, 110298. https://doi.org/10.1016/j.engfracmech.2024.110298
Kosin, V, Fau, A, Hild, F & Wick, T 2024, Dual-weighted residual goal-oriented error estimation for temporal adaptivity in phase-field fracture. in A Korobenko, M Laforest, S Proudhomme & R Vaziri (Hrsg.), 16th World Congress in Computational Mechanics (WCCM). International Centre for Numerical Methods in Engineering, CIMNE, 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, WCCM-PANACM 2024, Vancouver, Kanada, 21 Juli 2024. https://doi.org/10.23967/wccm.2024.035
Kosin, V, Fau, A, Jailin, C, Hild, F & Wick, T 2024, 'Parameter identification of a phase-field fracture model using integrated digital image correlation', Computer Methods in Applied Mechanics and Engineering, Jg. 420, 116689. https://doi.org/10.1016/j.cma.2023.116689
Kühl, N, Fischer, H, Hinze, M & Rung, T 2024, 'An incremental singular value decomposition approach for large-scale spatially parallel & distributed but temporally serial data : applied to technical flows', Computer physics communications, Jg. 296, 109022. https://doi.org/10.1016/j.cpc.2023.109022
Morgenstern, P & Görmer, R 2024, 'Multivariate Analysis-Suitable T-Splines of Arbitrary Degree', Computational Methods in Applied Mathematics, Jg. 24, Nr. 4, S. 859-885. https://doi.org/10.48550/arXiv.2112.05055, https://doi.org/10.1515/cmam-2022-0071
Noii, N, Milijasevic, D, Khodadadian, A & Wick, T 2024, 'An Efficient FEniCS implementation for coupling lithium-ion battery charge/discharge processes with fatigue phase-field fracture', Engineering fracture mechanics, Jg. 306, 110251. https://doi.org/10.1016/j.engfracmech.2024.110251
Noii, N, Milijasevic, D, Waisman, H & Khodadadian, A 2024, 'Fatigue failure theory for lithium diffusion induced fracture in lithium-ion battery electrode particles', Computer Methods in Applied Mechanics and Engineering, Jg. 428, 117068. https://doi.org/10.1016/j.cma.2024.117068
Parvizi, M, Khodadadian, A, Beuchler, S & Wick, T 2024, Hierarchical LU Preconditioning for the Time-Harmonic Maxwell Equations. in Z Dostal, T Kozubek, A Klawonn, LF Pavarino, OB Widlund, U Langer & J Sístek (Hrsg.), Domain Decomposition Methods in Science and Engineering XXVII. Lecture Notes in Computational Science and Engineering, Bd. 149, Springer Science and Business Media Deutschland GmbH, S. 391-399, 27th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2022, Prague, Tschechische Republik, 25 Juli 2022. https://doi.org/10.48550/arXiv.2211.11303, https://doi.org/10.1007/978-3-031-50769-4_47
Roth, J, Soszyńska, M, Richter, T & Wick, T 2024, 'A monolithic space–time temporal multirate finite element framework for interface and volume coupled problems', Journal of Computational and Applied Mathematics, Jg. 446, 115831, S. 115831. https://doi.org/10.48550/arXiv.2307.12455, https://doi.org/10.1016/j.cam.2024.115831
Roth, J 2024, 'Space-time goal-oriented error control and adaptivity for discretizations and reduced order modeling of multiphysics problems', Doctor rerum naturalium, Gottfried Wilhelm Leibniz Universität Hannover, Hannover. https://doi.org/10.15488/17573
Roth, J, Thiele, JP, Köcher, U & Wick, T 2024, 'Tensor-Product Space-Time Goal-Oriented Error Control and Adaptivity with Partition-of-Unity Dual-Weighted Residuals for Nonstationary Flow Problems', Computational Methods in Applied Mathematics, Jg. 24, Nr. 1, S. 185-214. https://doi.org/10.48550/arXiv.2210.02965, https://doi.org/10.1515/cmam-2022-0200
Schmitz, LS 2024, 'Analysis of a soap film catenoid driven by an electrostatic force', Doctor rerum naturalium, Gottfried Wilhelm Leibniz Universität Hannover, Hannover. https://doi.org/10.15488/17332
Schubert, J, Steinbach, MC, Hente, C, Märtins, D & Schuster, D 2024, 'Accelerating aeroelastic UVLM simulations by inexact Newton algorithms', Computational mechanics, Jg. 74, Nr. 6, S. 1409-1421. https://doi.org/10.48550/arXiv.2403.15286, https://doi.org/10.1007/s00466-024-02484-2
Steinbach, MC 2024 'Optimizing Non-Intersecting Synthetic Vascular Trees in Nonconvex Organs'.
Thiele, JP & Wick, T 2024, 'Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems', Journal of scientific computing, Jg. 99, Nr. 1, 25. https://doi.org/10.1007/s10915-024-02485-6
