Article ID Journal Published Year Pages File Type
4640641 Journal of Computational and Applied Mathematics 2009 15 Pages PDF
Abstract

In this paper, we investigate the superconvergence properties of the hh-pp version of the finite element method (FEM) for two-point boundary value problems. A postprocessing technique for the hh-pp finite element approximation is analyzed. The analysis shows that the postprocess improves the order of convergence. Furthermore, we obtain asymptotically exact a posteriori error estimators based on the postprocessing results. Numerical examples are included to illustrate the theoretical analysis.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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