Date & Time: Wednesday, March 04, 2015, 15:00-16:00.
Venue: Ramanujan Hall
Speaker: Vidar Thomée, Chalmers University of Technology
Title: On Positivity Preservation in Finite Element Methods for the Heat Equation
Abstract: We consider the initial boundary value problem for the homogeneous heat equation, with homogeneous Dirichlet boundary conditions. By the maximum principle the solution is nonegative for positive time if the initial data are nonnegative. We study to what extent this property carries over to some finite element discretizations, namely the Standard Galerkin method, the Lumped Mass method, and the Finite Volume Element method.