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 1 - 20 von 58
Abbaszadeh, M, Parvizi, M, Khodadadian, A, Wick, T & Dehghan, M 2025, 'A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model', Computers and Mathematics with Applications, Jg. 179, S. 197-211. https://doi.org/10.1016/j.camwa.2024.12.011
Günther, C, Hofmeister, B, Hübler, C, Jonscher, C, Ragnitz, J, Schubert, J & Steinbach, MC 2025, 'Damage location in mechanical structures by multi-objective pattern search', Optimization and Engineering. https://doi.org/10.1007/s11081-024-09940-1
Khimin, D, Steinbach, MC & Wick, T 2025, 'pff-oc: A space–time phase-field fracture optimal control framework', Software Impacts, Jg. 23, 100734. https://doi.org/10.1016/j.simpa.2024.100734
Knosalla, P & Lankeit, J 2025, 'Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions', Zeitschrift fur Angewandte Mathematik und Physik, Jg. 76, Nr. 1, 21. https://doi.org/10.48550/arXiv.2408.10080, https://doi.org/10.1007/s00033-024-02366-w
Abbaszadeh, M, Khodadadian, A, Parvizi, M & Dehghan, M 2024, 'Investigation of combustion model via the local collocation technique based on moving Taylor polynomial (MTP) approximation/domain decomposition method with error analysis', Engineering Analysis with Boundary Elements, Jg. 159, S. 288-301. https://doi.org/10.1016/j.enganabound.2023.11.010
Africa, PC, Arndt, D, Bangerth, W, Blais, B, Fehling, M, Gassmöller, R, Heister, T, Heltai, L, Kinnewig, S, Kronbichler, M, Maier, M, Munch, P, Schreter-Fleischhacker, M, Thiele, JP, Turcksin, B, Wells, D & Yushutin, V 2024, 'The deal.II library, Version 9.6', Journal of numerical mathematics, Jg. 32, Nr. 4, S. 369-380. https://doi.org/10.1515/jnma-2024-0137
Agarwal, G, Urrea-Quintero, JH, Wessels, H & Wick, T 2024, 'Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling', Computational mechanics. https://doi.org/10.1007/s00466-024-02517-w
Ahn, J & Lankeit, J 2025, 'Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions', Journal of differential equations, Jg. 422, S. 251-263. https://doi.org/10.48550/arXiv.2406.18750, https://doi.org/10.1016/j.jde.2024.12.020
Banz, L & Stephan, EP 2024, 'hp-FEM for the α-Mosolov problem: a priori and a posteriori error estimates', Numerische Mathematik, Jg. 156, Nr. 5, S. 1679-1718. https://doi.org/10.1007/s00211-024-01433-8
Beuchler, S, Hiniborch, R & Morgenstern, P 2024, 'Deal.t: an implementation of multivariate analysis suitable T-splines within the deal.ii framework', Engineering with computers, Jg. 40, Nr. 6, S. 3901-3928. https://doi.org/10.1007/s00366-024-02002-1
Beuchler, S, Demircan, A, Endtmayer, B, Morgner, U & Wick, T 2024, 'Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density', Computers and Mathematics with Applications, Jg. 175, S. 138-151. https://doi.org/10.48550/arXiv.2404.01823, https://doi.org/10.1016/j.camwa.2024.09.017
Beuchler, S, Endtmayer, B, Lankeit, J & Wick, T 2024, 'Multigoal-oriented a posteriori error control for heated material processing using a generalized Boussinesq model', Comptes Rendus Mécanique (Online), Jg. 351, S. 1-23. https://doi.org/10.5802/crmeca.160
Beuchler, S, Haubold, T & Pillwein, V 2024, 'Recursion Formulas for Integrated Products of Jacobi Polynomials', Constructive approximation, Jg. 59, Nr. 3, S. 583-618. https://doi.org/10.48550/arXiv.2105.08989, https://doi.org/10.1007/s00365-023-09655-z
Cieślak, T, Fuest, M, Hajduk, K & Sierzęga, M 2024, 'On the existence of global solutions for the 3D chemorepulsion system', Zeitschrift für Analysis und ihre Anwendungen, Jg. 43, Nr. 1/2, S. 49-65. https://doi.org/10.48550/arXiv.2303.09620, https://doi.org/10.4171/ZAA/1747
Dai, Y, Hou, B, Lee, S & Wick, T 2024, 'A Thermal–Hydraulic–Mechanical–Chemical Coupling Model for Acid Fracture Propagation Based on a Phase-Field Method', Rock Mechanics and Rock Engineering, Jg. 57, Nr. 7, S. 4583-4605. https://doi.org/10.1007/s00603-024-03769-x
Endtmayer, B, Langer, U, Richter, T, Schafelner, A & Wick, T 2024, A posteriori single- and multi-goal error control and adaptivity for partial differential equations. in Error Control, Adaptive Discretizations, and Applications, Part 2. Advances in Applied Mechanics, Bd. 59, Academic Press Inc., S. 19-108. https://doi.org/10.48550/arXiv.2404.01738, https://doi.org/10.1016/bs.aams.2024.08.003
Endtmayer, B, Langer, U & Schafelner, A 2024, 'Goal-oriented adaptive space-time finite element methods for regularized parabolic p-Laplace problems', Computers and Mathematics with Applications, Jg. 167, S. 286-297. https://doi.org/10.48550/arXiv.2306.07167, https://doi.org/10.1016/j.camwa.2024.05.017
Escher, J, Matioc, AV & Matioc, BV 2024, 'The Mullins–Sekerka problem via the method of potentials', Mathematische Nachrichten, Jg. 297, Nr. 5, S. 1960-1977. https://doi.org/10.48550/arXiv.2308.06083, https://doi.org/10.1002/mana.202300350
Fischer, H, Roth, J, Chamoin, L, Fau, A, Wheeler, MF & Wick, T 2024, 'Adaptive space-time model order reduction with dual-weighted residual (MORe DWR) error control for poroelasticity', Advanced Modeling and Simulation in Engineering Sciences, Jg. 11, Nr. 1, 9. https://doi.org/10.48550/ARXIV.2311.08907, https://doi.org/10.1186/s40323-024-00262-6
Fischer, H, Roth, J, Wick, T, Chamoin, L & Fau, A 2024, 'MORe DWR: Space-time goal-oriented error control for incremental POD-based ROM for time-averaged goal functionals', Journal of computational physics, Jg. 504, 112863. https://doi.org/10.1016/j.jcp.2024.112863
