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 61 - 67 von 67
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
Urrea-Quintero, JH, Marino, M, Wick, T & Nackenhorst, U 2024, 'A Comparative Analysis of Transient Finite-Strain Coupled Diffusion-Deformation Theories for Hydrogels', Archives of Computational Methods in Engineering, Jg. 31, Nr. 7, S. 3767-3800. https://doi.org/10.48550/arXiv.2403.08972, https://doi.org/10.1007/s11831-024-10101-x
von Wahl, H & Wick, T 2024, 'A coupled high-accuracy phase-field fluid–structure interaction framework for Stokes fluid-filled fracture surrounded by an elastic medium', Results in Applied Mathematics, Jg. 22, 100455. https://doi.org/10.48550/arXiv.2308.15400, https://doi.org/10.1016/j.rinam.2024.100455
Walker, C 2024, 'A note on the compactness of the resolvent of the age-diffusion operator', Afrika Matematika, Jg. 35, Nr. 2, 41. https://doi.org/10.48550/arXiv.2304.14726, https://doi.org/10.1007/s13370-024-01179-4
Walker, C 2024, 'Stability and Instability of Equilibria in Age-Structured Diffusive Populations', Journal of Dynamics and Differential Equations. https://doi.org/10.48550/arXiv.2304.09589, https://doi.org/10.1007/s10884-023-10340-9
