Article citationsMore>>

M. Maischak and E. P. Stephan, “A Least Squares Coupling Method with Finite Elements and Boundary Elements for Transmission Problems,” Computers & Mathematics with Applications, Vol. 48, No. 7-8, 2004, pp. 995-1016. doi:10.1016/j.camwa.2004.10.002

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.