The Open Numerical Methods Journal

2009, 1 : 1-5
Published online 2009 January 09. DOI: 10.2174/1876389801002010001
Publisher ID: TONUMJ-1-1

Gu Haiming , Li Hongwei and Xie Bing
Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, P.R. China

ABSTRACT

A least-squares mixed finite element (LSMFE) method for the numerical solution of fourth-order elliptic equations is analyzed and developed in this paper. The a posteriori error estimator which is needed in the adaptive refinement algorithm is proposed. The local evaluation of the least-squares functional serves as a posteriori error estimator. The posteriori errors are effectively estimated.

Keywords:

least-squares mixed finite element method, fourth-order elliptic equations,, least-squares functional, error.