Space-Time Finite Element Methods for Parabolic Initial-Boundary Problems
Andreas SchafelnerNov. 28, 2017, 2:30 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.