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 21 - 40 von 68
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
Fuest, M, Lankeit, J & Mizukami, M 2025, 'Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source', Discrete and Continuous Dynamical Systems- Series A, Jg. 45, Nr. 6, S. 1809-1822. https://doi.org/10.3934/dcds.2024148, https://doi.org/10.48550/arXiv.2406.11746
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, Jg. 28, Nr. 5, S. 883–905. 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
Günther, C, Orzan, A & Precup, R 2024, 'Componentwise Dinkelbach algorithm for nonlinear fractional optimization problems', OPTIMIZATION, Jg. 73, Nr. 11, S. 3323-3337. https://doi.org/10.1080/02331934.2023.2256750
Günther, C, Khazayel, B & Tammer, C 2024, 'Duality Assertions in Vector Optimization w.r.t. Relatively Solid Convex Cones in Real Linear Spaces', Minimax Theory and its Applications, Jg. 9, Nr. 8, S. 225-252. <https://www.heldermann-verlag.de/mta/mta09/mta0180-b.pdf>
Günther, C, Khazayel, B & Tammer, C 2024, 'Nonlinear Cone Separation Theorems in Real Topological Linear Spaces', SIAM journal on optimization, Jg. 34, Nr. 1, S. 225 - 250. https://doi.org/10.48550/arXiv.2212.06293, https://doi.org/10.1137/22M1542003
Günther, C, Tammer, C & Khazayel, B 2024, 'Nonlinear strict cone separation theorems in real normed spaces', Journal of Nonlinear and Variational Analysis, Jg. 8, Nr. 4, S. 601-623. https://doi.org/10.48550/arXiv.2303.06392, https://doi.org/10.23952/jnva.8.2024.4.08
Hartmann, T & Stephan, EP 2024, 'Local error estimates and post processing for the Galerkin BEM on polygons', Applicable analysis. https://doi.org/10.1080/00036811.2024.2441244
Haubold, T, Beuchler, S & Schöberl, J 2024, 'High Order Biorthogonal Functions in H (curl)', SIAM journal on numerical analysis, Jg. 62, Nr. 5, S. 2331-2348. https://doi.org/10.48550/arXiv.2310.06986, https://doi.org/10.1137/23M1606794
Heydari, S, Knobloch, P & Wick, T 2024, 'Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model', Journal of computational physics, Jg. 499, 112711. https://doi.org/10.48550/arXiv.2307.08096, https://doi.org/10.1016/j.jcp.2023.112711
