A. Agouzal, “A Posteriori Error Estimators for Nonconforming Approximation,” Mathematical Modelling and Numerical Analysis, Vol. 5, No. 1, 2008, pp. 77-85.
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.