Optimal Convergence for the Implicit Space-Time Discretization of Parabolic Systems with $p$-Structure

Authors:
Lars Diening;Carsten Ebmeyer;Michael Ru˚zˇicˇka
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2007

Citing 0
Cited 2

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Abstract

Parabolic systems with $p$-structure are considered on convex polyhedral domains under Dirichlet boundary conditions. A fully discrete scheme is studied using $C^0$-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.