The Open Numerical Methods Journal
2009, 1 : 1-5Published online 2009 January 09. DOI: 10.2174/1876389801002010001
Publisher ID: TONUMJ-1-1
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.