%0 Journal Article %T An Adaptive Least-Squares Mixed Finite Element Method for Fourth- Order Elliptic Equations %A Gu Haiming %A Li Hongwei and Xie Bing %J The Open Numerical Methods Journal %D 2009 %I %R 10.2174/1876389801002010001] %X 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. %U http://www.benthamscience.com/open/tonumj/articles/V001/1TONUMJ.htm