In this paper, three a posteriori error estimators of the error in the semidiscrete ยฎnite element solution (discrete in space and continuous in time) of parabolic partial dierential equations are analyzed. This approach is based on a posteriori error estimators for the elliptic PDEs. It is proven th
A posteriori error estimation with the p-version of the finite element method for nonlinear parabolic differential equations
โ Scribed by Javier de Frutos; Julia Novo
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 297 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0045-7825
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โฆ Synopsis
We analyze an a posteriori error estimator for nonlinear parabolic differential equations in several space dimensions. The spatial discretization is carried out using the p-version of the finite element method. The error estimates are obtained by solving an elliptic problem at the desired times when the estimation is wanted. Some numerical experiments prove the efficiency of the error estimation.
๐ SIMILAR VOLUMES
Using the abstract framework of [R. Verfรผrth, Math. Comput. 62, 445-475 (1996)], we analyze a residual a posteriori error estimator for space-time finite element discretizations of parabolic PDEs. The estimator gives global upper and local lower bounds on the error of the numerical solution. The fin