The Mathematical Institute, University of Oxford, Eprints Archive

Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic p-Laplacian

Kreuzer, Christian (2011) Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic p-Laplacian. Technical Report. Springer. (Submitted)

[img]
Preview
PDF
492Kb

Abstract

We generalize the a posteriori techniques for the linear heat equation in [Ver03] to the case of the nonlinear parabolic p-Laplace problem thereby proving reliable and efficient a posteriori error estimates for a fully discrete implicite Euler Galerkin finite element scheme. The error is analyzed using the so-called quasi-norm and a related dual error expression. This leads to equivalence of the error and the residual, which is the key property for proving the error bounds.

Item Type:Technical Report (Technical Report)
Subjects:O - Z > Partial differential equations
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1457
Deposited By:Lotti Ekert
Deposited On:20 Dec 2011 09:33
Last Modified:20 Dec 2011 09:33

Repository Staff Only: item control page