Space-Time Finite Element Methods for Parabolic Initial-Boundary Problems

Andreas Schafelner

Nov. 28, 2017, 3:30 p.m. S2 416-1

We introduce a conforming space-time finite element method for the
numerical solution of parabolic initial-boundary value problems with
variable, possibly discontinuous diffusion coefficients. Discontinuous
diffusion coefficients allow the treatment of moving interfaces. We show
stability of the method and an a priori error estimate, including the
case of local stabilizations which are important for adaptivity. The
performed numerical tests validate the theoretical results.