OPTIMAL CONVERGENCE FOR THE IMPLICIT SPACE-TIME DISCRETIZATION OF PARABOLIC SYSTEMS WITH p-STRUCTURE

摘要

Parabolic systems with p-structure are considered on convex polyhedral domains under Dirichlet boundary conditions. A fully discrete scheme is studied using C0-piecewise linear finite elements in space and the backward Euler difference scheme in time. A priori error estimates in quasi norms are proved, and optimal convergence rates are obtained.