**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.