Title

Numerical study of natural superconvergence in least-squares finite element methods for elliptic problems

Document Type

Article

Publication Title

Applications of Mathematics

Abstract

Natural superconvergence of the least-squares finite element method is surveyed for the one-and two-dimensional Poisson equation. For two-dimensional problems, both the families of Lagrange elements and Raviart-Thomas elements have been considered on uniform triangular and rectangular meshes. Numerical experiments reveal that many superconvergence properties of the standard Galerkin method are preserved by the least-squares finite element method. © 2009 Mathematical Institute, Academy of Sciences of Czech Republic.

First Page

251

Last Page

266

DOI

10.1007/s10492-009-0016-6

Publication Date

6-1-2009

This document is currently not available here.

Share

COinS