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T. Tang and J. C. Xu, “Adaptive Computations: Theory and Algorithms,” Science Press, Beijing, 2007.

has been cited by the following article:

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

  AUTHORS: Ning Chen, Haiming Gu

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

  JOURNAL NAME: Applied Mathematics, Vol.4 No.4, April 29, 2013

  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.