H. M. Gu and D. P. Yang, “Least-Squares Mixed Finite Element Method for Sobolev Equations,” Indian Journal of Pure and Applied Mathematics, Vol. 31, No. 5, 2000, pp. 505-517.
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.