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 79
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
Agarwal, G, Urrea-Quintero, JH, Wessels, H & Wick, T 2025, 'Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling', Computational mechanics, Jg. 75, S. 515–545. 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
Cao, X & Fuest, M 2025, 'Finite-time blow-up in fully parabolic quasilinear Keller–Segel systems with supercritical exponents', Calculus of Variations and Partial Differential Equations, Jg. 64, Nr. 3, 89. https://doi.org/10.1007/s00526-025-02944-4
Durea, M, Günther, C, Strugariu, R & Tammer, C 2025, 'Necessary conditions for approximate solutions of vector and set optimization problems with variable domination structure', Journal of Dynamics and Games, Jg. 0, Nr. 0. https://doi.org/10.3934/jdg.2025026
Endtmayer, B & Schafelner, A 2025, Goal-Oriented Adaptive Space Time Finite Element Methods Applied to Touching Domains. in A Sequeira, A Silvestre, SS Valtchev & J Janela (Hrsg.), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2: European Conference, September 4-8, Lisbon, Portugal. 1. Aufl., Lecture Notes in Computational Science and Engineering (LNCSE), Bd. 154, Springer, S. 340-349, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023, Lisbon, Portugal, 4 Sept. 2023. https://doi.org/10.1007/978-3-031-86169-7_35, https://doi.org/10.48550/arXiv.2401.17237
Fischer, H 2025, 'Goal-oriented error control for space-time reduced-order modeling using incremental proper orthogonal decomposition', Doctor rerum naturalium, Gottfried Wilhelm Leibniz Universität Hannover, Hannover. https://doi.org/10.15488/18299
Frei, S, Knoke, T, Steinbach, MC, Wenske, AK & Wick, T 2025, Modeling and Numerical Simulation of Fully Eulerian Fluid-Structure Interaction Using Cut Finite Elements. in A Sequeira, A Silvestre, SS Valtchev & J Janela (Hrsg.), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 1 - European Conference. Lecture Notes in Computational Science and Engineering, Bd. 153 LNCSE, Springer Science and Business Media Deutschland GmbH, S. 313-323, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023, Lisbon, Portugal, 4 Sept. 2023. https://doi.org/10.1007/978-3-031-86173-4_32, https://doi.org/10.48550/arXiv.2402.00209
Frei, S, Knoke, T, Steinbach, MC, Wenske, A-K & Wick, T 2025, 'Numerical Simulations of Fully Eulerian Fluid-Structure Contact Interaction using a Ghost-Penalty Cut Finite Element Approach', Advances in Computational Science and Engineering (ACSE), Jg. 3, S. 74-94. https://doi.org/10.3934/acse.2025005, https://doi.org/10.48550/arXiv.2503.17145
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
Fuest, M 2025, 'Upper estimates for the Hausdorff dimension of the temporal singular set in chemotaxis-fluid systems', Proceedings of the American Mathematical Society, Jg. 153, Nr. 5, S. 2053-2066. https://doi.org/10.1090/proc/17148, https://doi.org/10.48550/arXiv.2402.16582
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, Jg. 26, Nr. 2, 100014, S. 1365-1405. 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
Kolditz, LM & Wick, T 2025, Matrix-Free Geometric Multigrid Preconditioning of Combined Newton-GMRES for Solving Phase-Field Fracture with Local Mesh Refinement. in A Sequeira, A Silvestre, SS Valtchev & J Janela (Hrsg.), Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023. Bd. 154, Lecture Notes in Computational Science and Engineering, Bd. 154 LNCSE, Springer Science and Business Media Deutschland GmbH, Cham, S. 64-74, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023, Lisbon, Portugal, 4 Sept. 2023. https://doi.org/10.1007/978-3-031-86169-7_7, https://doi.org/10.48550/arXiv.2404.03265
Lankeit, J & Winkler, M 2025, 'Chemotaxis-consumption interaction: Solvability and asymptotics in general high-dimensional domains', Nonlinear Analysis, Theory, Methods and Applications, Jg. 260, 113853. https://doi.org/10.1016/j.na.2025.113853
Lee, S, Wheeler, MF & Wick, T 2025, 'A phase-field diffraction model for thermo-hydro-mechanical propagating fractures', International Journal of Heat and Mass Transfer, Jg. 239, 126487. https://doi.org/10.1016/j.ijheatmasstransfer.2024.126487
Matioc, BV & Walker, C 2025, 'Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities', Bulletin of the London Mathematical Society, Jg. 57, Nr. 2, S. 444-462. https://doi.org/10.48550/arXiv.2404.11089, https://doi.org/10.1112/blms.13206
Schmitz, LS & Walker, C 2025, 'Recovering initial states in semilinear parabolic problems from time-averages', Journal of differential equations, Jg. 429, S. 503-528. https://doi.org/10.1016/j.jde.2025.02.049, https://doi.org/10.48550/arXiv.2407.03829
Schmitz, LS 2025, 'Stationary soap film bridge formed by a small electrostatic force', Quarterly of applied mathematics, Jg. 83, Nr. 3, S. 533-552. https://doi.org/10.1090/qam/1707, https://doi.org/10.48550/arXiv.2409.18608
