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1. Superconvergence of the - version of the finite element method in one dimension

Author

Yi, Lijun and Guo, Benqi

Subjects
*STOCHASTIC convergence, *FINITE element method, *BOUNDARY value problems, *APPROXIMATION theory, *ASYMPTOTIC expansions, *ERROR analysis in mathematics, *NUMERICAL analysis
Abstract

Abstract: In this paper, we investigate the superconvergence properties of the - version of the finite element method (FEM) for two-point boundary value problems. A postprocessing technique for the - 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. [Copyright &y& Elsevier]

Published
2009
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