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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.

KEYWORDS

Adaptive Method; Least-Squares Mixed Finite Element Method; Fourth Order Parabolic Problems; Least-Squares Functional; A Posteriori Error

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.





Autor: Ning Chen, Haiming Gu

Fuente: http://www.scirp.org/



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