Partial differential equations on surfaces: Analysis and numerical methods

Date

Dec 13, 2017

Time

5:00 PM - 6:00 PM

Speaker

Prof. Dr. Arnold Reusken

Affiliation

RWTH Aachen University

Series

TUD Dresdner Mathematisches Seminar

Language

en

Main Topic

Mathematik

Other Topics

Mathematik

Host

Prof. Dr. Axel Voigt

Description

In this presentation we give an overview of several aspects related to the analysis and numerical simulation of elliptic and parabolic PDEs on (evolving) surfaces. One topic that will be addressed is a well-posed space-time weak formulation of a parabolic transport problem on an evolving surface. This formulation is used as the basis for a specific space-time Finite Element discretization method. We explain the main ideas of this method and present results of numerical experiments. A second topic that we treat is a general numerical technique for computing higher order finite discretizations of PDEs on an implicitly given surface (e.g., via a level set function). Finally we discuss some recent results on the modeling of uid problems on surfaces and the corresponding (weak) formulation of surface Stokes and Navier-Stokes equations.

Last modified: Sep 27, 2017, 4:16:21 PM