Prof. Dr. Carsten Carstensen
Contact: Friederike Hellwig (hellwigf@math.hu-berlin.de)
Humboldt-Universität zu Berlin, Institut für Mathematik
Rudower Chaussee 25, 12489 Berlin
From now on: Room 2.417
| October 7, 2015 | 10:00 | Neela Nataraj, IIT Bombay |
|---|---|---|
| »Finite Element Methods for Distributed Optimal Control Problems Governed by Plate Equations« | ||
| October 14, 2015 | 09:15 | Joscha Gedicke, Universität Heidelberg |
| »Numerical approximation of biharmonic eigenvalue problems« | ||
| October 21, 2015 | 09:15 | Sophie Puttkammer, HU Berlin |
| »Eine neue dPG Finite-Elemente-Methode niedriger Ordnung für Stokes Gleichungen« | ||
| 10:15 | Johannes Storn, HU Berlin | |
| »Die unstetige Petrov-Galerkin-Methode angewandt auf die zeitharmonischen Maxwell-Gleichungen« | ||
| October 28, 2015 | 09:15 | Tran Ngoc Tien, HU Berlin |
| »Least-Squares Finite-Elemente-Methode für die Stokes-Gleichungen in 3D« | ||
| November 18, 2015 | 15:15 | Mira Schedensack, Universität Bonn |
| »L2 best-approximation of the elastic stress in the Arnold-Winther FEM« | ||
| November 19, 2015 | 10am-5pm | |
| Variational Inequality Day (Workshop) | ||
| November 25, 2015 | 09:15 | Pascal Huber, Universität Bonn |
| »Stability of the Rayleigh-Ritz method with piecewise polynomials of variable smoothness« | ||
| November 26, 2015 | 14:15 | Sören Bartels, Universität Freiburg |
| »Finite element approximation of functions of bounded variation« (Abstract) | ||
| December 2, 2015 | 09:15 | Franz Bethke, HU Berlin |
| »Least-Squares Methoden für lineare Elastizität« | ||
| 11:00 | Daniel Peterseim, Universität Bonn | |
| »Relaxing the CFL condition for the wave equation on non-uniform meshes« | ||
| December 8, 2015 | 11:15 | Fleurianne Bertrand, Universität Duisburg-Essen |
| »H(div) conforming elements on curved boundaries« | ||
| December 16, 2015 | 09:15 | Friederike Hellwig, HU Berlin |
| »The Primal dPG Method seen as a Least-Squares FEM« | ||
| January 13, 2016 | 09:15 | Johannes Storn, HU Berlin |
| »dPG for the ultra-weak variational formulation of Maxwell's equations« | ||
| January 27, 2016 | 09:15 | Felix Neumann, HU Berlin |
| »Über Fehlerabschätzungen bei einer druckrobusten und nichtkonformen Finite-Element-Methode für das Stokes-Problem unter minimaler Regularität« | ||
| February 3, 2016 | 09:15 | Kim Klüber, HU Berlin |
| »Modifikation einer dPG-Methode für lineare Elastizität« | ||
| 10:00 | Tobias Steiner, Leibniz Universität Hannover | |
| »Die dG-Methode in der linearen Elastizitätstheorie« | ||
| February 10, 2016 | 09:15 | Georgi Mitsov, HU Berlin |
| »Implicit Rothe's methods for the time-dependent Maxwell equations« | ||
Various phenomena involving free boundaries such as damage or plasticity require the description of physical quantities with discontinuous functions. One approach to their mathematical modeling is based on the space of functions of bounded variation which includes functions that are discontinuous and may jump across lower dimensional subsets. Numerical methods for their approximate solution are often based on regularizations which typically lead to restrictive conditions on discretization parameters. We try to avoid such modifications and discuss the convergence of discretizations with different finite element spaces, the iterative solution of the resulting finite-dimensional nonlinear systems of equations, and adaptive mesh-refinement techniques based on rigorous a posteriori error estimates for a model problem related to image processing. The application of the techniques to total variation flow, very singular diffusion processes, and segmentation problems will be addressed.