Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems
Journal of Computational and Applied Mathematics
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.
Lin, Runchang and Zhang, Zhimin, "Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems" (2012). Mathematics & Physics Faculty Publications. 19.