Article citationsMore>>

Z. Q. Cai, J. Korsawe and G. Starke, “An Adaptive Least Squares Mixed Finite Element Method for the Stress Displacement Formulation of Linear Elasticity,” Numerical Methods for Partial Differential Equations, Vol. 21, No. 1, 2005, pp. 132-148. doi:10.1002/num.20029

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.