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 48
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
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
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. 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 - Mecanique, 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
Frei, S, Knoke, T, Steinbach, MC, Wenske, A-K & Wick, T 2024 'Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements'. https://doi.org/10.48550/arXiv.2402.00209
Fuest, M & Heydari, S 2024, 'A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation', Mathematical Models and Methods in Applied Sciences, Jg. 34, Nr. 9, S. 1-41. https://doi.org/10.48550/arXiv.2312.08147, https://doi.org/10.1142/S0218202524500349
Fuest, M & Lankeit, J 2024, 'Classical and generalized solutions of an alarm-taxis model', Nonlinear Differential Equations and Applications, Jg. 31, Nr. 6, 101. https://doi.org/10.1007/s00030-024-00989-6
Gao, W, Neuweiler, I & Wick, T 2024, 'A comparison study of spatial and temporal schemes for flow and transport problems in fractured media with large parameter contrasts on small length scales', Computational geosciences. https://doi.org/10.1007/s10596-024-10293-y
Gebhardt, CG, Lange, S & Steinbach, MC 2024, 'Formulating and heuristic solving of contact problems in hybrid data-driven computational mechanics', Communications in Nonlinear Science and Numerical Simulation, Jg. 134, 108031. https://doi.org/10.48550/arXiv.2311.04083, https://doi.org/10.1016/j.cnsns.2024.108031
Günther, C, Orzan, A & Popovici, N 2024, 'A new concept of semistrict quasiconvexity for vector functions', OPTIMIZATION. https://doi.org/10.1080/02331934.2024.2384919
