Stefan Sauter (Universität Zürich)
Friday, May 25, 2018 - 13:15
Humboldt-Universität, Institut für Mathematik
Rudower Chaussee 25, 12489 Berlin, Raum 2.417, Haus 2
Forschungsseminar "Numerische Mathematik"
Prof. C. Carstensen
In many cases, the numerical simulation of complicated physical phenomena consists of various modelling and discretization steps. This includes data simplification (replacing complicated coefficients by simpler ones, using dimension-reduced models, applying homogenization models) and the numerical discretization. In many cases the final approximation is constructed by combining solutions of simpler problems in a sophisticated way via a postprocessing step. The a priori and a posteriori analysis for such types of problems typically require regularity of the simplified problems. In particular, for the a posteriori error analysis the (estimated) value of the regularity constant (of the simplified problem) with respect to a W^(1,p) norm for some p>2 is required. In our talk, we will present model problems where the a posteriori analysis leads to such regularity problems and explain theoretical tools for their estimation.
submitted by S. Schmidt (sschmidt@math.hu-berlin.de, 2093 1820)