An Adaptive Least-Squares Mixed Finite Element Method for Fourth Order Parabolic Problems

Affiliation(s)

Department of Mathematics, Qingdao University of Science and Technology, Qingdao, China.

Department of Mathematics, Qingdao University of Science and Technology, Qingdao, China.

Abstract

A least-squares mixed finite element (LSMFE) method for the numerical solution of fourth order parabolic problems analyzed and developed in this paper. The Ciarlet-Raviart mixed finite element space is used to approximate. 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. The convergence of the adaptive least-squares mixed finite element method is proved.

Cite this paper

N. Chen and H. Gu, "An Adaptive Least-Squares Mixed Finite Element Method for Fourth Order Parabolic Problems,"*Applied Mathematics*, Vol. 4 No. 4, 2013, pp. 675-679. doi: 10.4236/am.2013.44092.

N. Chen and H. Gu, "An Adaptive Least-Squares Mixed Finite Element Method for Fourth Order Parabolic Problems,"

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