A posteriori error estimation with the p-version of the finite element method for nonlinear parabolic differential equations

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...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2002-09, Vol.191 (43), p.4893-4904
Main Authors: de Frutos, Javier, Novo, Julia
Format: Article
Language:English
Subjects:
A posteriori error estimation
Computational methods in fluid dynamics
Computational techniques
Exact sciences and technology
Finite-element and galerkin methods
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
p-version of the finite element method
Parabolic equations
Physics
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Summary: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.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(02)00419-X