We study the spatially semidiscrete finite volume element method for the model homogeneous heat equation. Improving earlier results we show that known optimal order smooth initial data error estimates for the standard Galerkin and the lumped mass finite element methods carry over to the finite volume element method. Optimal nonsmooth initial data error estimates are shown to require special assumptions on the triangulations.
Chalmers University of Technology, Gothenberg
Tue, 24/01/2012 - 11:00am to 12:00pm