An Adaptive Least-Squares Mixed Finite Element Method for FourthOrder Elliptic Equations

摘要

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