Matheon-Siegel AFEM HU-Siegel
Numerische Analysis
Prof. C. Carstensen

Research Seminar SoSe 2016

Organisation

Prof. Dr. Carsten Carstensen

Contact: Friederike Hellwig (hellwigf@math.hu-berlin.de)

Location

Humboldt-Universität zu Berlin, Institut für Mathematik

Rudower Chaussee 25, 12489 Berlin

Room 2.417

Schedule

April 20, 2016 09:15 Johannes Storn, HU Berlin
»An alternative a posteriori error control for the dPG method«
April 27, 2016 09:15 Felix Neumann, HU Berlin
»Quasi-Optimalität bei einer druckrobusten nichtkonformen Finite-Element-Methode für das Stokes-Problem«
May 4, 2016 09:15 Tom Göhler, HU Berlin
»The complementarity method for Poisson Eigenvalue problems«
May 10, 2016 17:00 Fleurianne Bertrand, Universität Duisburg-Essen
»Improved momentum balance for the Least Squares Stress-Displacement-Vorticity formulation of elasticity«
May 11, 2016 09:15 Karoline Köhler, HU Berlin
»On Efficient A Posteriori Error Analysis for Variational Inequalities«
May 18, 2016 09:15 Tran Ngoc Tien, HU Berlin
»Optimalität der Least-Squares-Methode für die Stokes-Gleichungen in 3D«
May 25, 2016 09:15 Philipp Bringmann, HU Berlin
»An Adaptive Gauss-Newton Least-Squares FEM for Quasi-Linear Problems«
June 1, 2016 09:15 Asha Dond, IIT Bombay
»Convergence of adaptive mixed FEM for second order general elliptic equation«
June 15, 2016 10:15 Georgi Mitsov, HU Berlin
»Spectral Theory«
June 22, 2016 09:15 Nando Farchmin, HU Berlin
»A dPG-FEM for an Optimal Design Problem«
June 27, 2016 16:00 Endre Süli, University of Oxford
»Navier-Stokes-Fokker-Planck systems: modelling, analysis and computation«
External talk »BIMoS Distinguished Lecture«
June 29, 2016 09:15 Stefan Sauter , Universität Zürich
»A Posteriori Error Majorant for Elliptic Partial Differential Equations with Applications to Homogenization« (Abstract)
July 13, 2016 09:15 Alexander Linke, WIAS Berlin
TBA
July 20, 2016 09:15 Tran Ngoc Tien, HU Berlin
»Least-Squares Finite-Elemente-Methode für die Stokes-Gleichungen in 3D«
September 14, 2016 15:00 Hu Jun, Peking University
»Adaptive Multilevel Mixed FEM«
September 26, 2016 08:00 Karoline Köhler, HU Berlin
»On Efficient A Posteriori Error Analysis for Variational Inequalities«

Abstracts

Stefan Sauter: A Posteriori Error Majorant for Elliptic Partial Differential Equations with Applications to Homogenization

In our talk, we will present new two-sided estimates of modeling errors for linear elliptic boundary value problems with periodic coefficients solved by homogenization method. Our approach is based on the concept of functional a posteriori error estimation. The estimates are obtained for the energy norm and use solely the global flux of the non-oscillatory solution of the homogenized model and solutions of some cell problem. Numerical tests illustrate the efficiency of the estimates.