We study the convergence of an A-stable temporal discretization method based on the deferred correction methodology. In particular, we discuss the implementation of a weak imposition of J.G. Verwer's essential boundary conditions to avoid order reduction issues inherent to this approach. The targeted applications concern the semi-finite element discretization of parabolic evolution problems, such as the heat equation.

This is joint work with

André Garon, Département de Génie Mécanique, École Polytechnique de Montréal, andre.garon@polymtl.ca

Stéphane Etienne, Département de Génie Mécanique, École Polytechnique de Montréal,stephane.etienne@polymtl.ca

Yves Bourgault, Department of Mathematics and Statistics,University of Ottawa,Yves.Bourgault@uottawa.ca