Title

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

Document Type

Article

Publication Title

Journal of Computational and Applied Mathematics

Abstract

In this paper, a C0 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. © 2012 Elsevier B.V. All rights reserved.

First Page

4436

Last Page

4447

DOI

10.1016/j.cam.2012.04.016

Publication Date

11-1-2012

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