Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Numerische Mathematik


Dr. Anna Persson
KTH Stockholm

spricht am
Dienstag, 30. April 2019
16:00 Uhr
Raum 1008 (L1)
über das Thema:

»Finite element convergence for the Joule Heating problem«

The Joule heating problem is a coupled nonlinear system describing the temperature and electric current in a conducting body. The nonlinear term poses difficulties when studying existence, uniqueness, and regularity of the system, especially in three dimensions. This, in turn, leads to difficulties when studying convergence for numerical methods, such as the finite element method. In this talk we focus on a very general setting in three dimensions with mixed boundary conditions. We overcome the issue with the nonlinear term by introducing a new variational formulation based on a cut-off functional. Using this formulation, we prove strong convergence of a large class of finite element methods under very mild assumptions on the data.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Daniel Peterseim

[Impressum]      [Datenschutz],     Di 16-Apr-2019 16:09:26 MESZ