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1. Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems

Author

Lin, Runchang and Zhang, Zhimin

Subjects
*STOCHASTIC convergence, *LEAST squares, *FINITE element method, *APPROXIMATION theory, *FIXED point theory, *BOUNDARY value problems, *NUMERICAL analysis, *ERROR analysis in mathematics
Abstract

Abstract: In this paper, a least-squares finite element method for second-order two-point boundary value problems is considered. The problem is recast as a first-order system. Standard and improved optimal error estimates in maximum-norms are established. Superconvergence estimates at interelement, Lobatto, and Gauss points are developed. Numerical experiments are given to illustrate theoretical results. [Copyright &y& Elsevier]

Published
2012
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