A Posteriori Error Estimation for the Dual Mixed Finite Element Method of the Stokes Problem

Author: Farhloul M.  

Publisher: Taylor & Francis Ltd

ISSN: 0163-0563

Source: Numerical Functional Analysis and Optimization, Vol.27, Iss.7-8, 2006-12, pp. : 831-846

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Abstract

The paper presents an a posteriori error estimator of residual type for the stationary Stokes problem in a possibly multiply-connected polygonal domain of the plane, using the dual mixed finite element method (FEM). We prove lower and upper error bounds with the explicit dependence of the viscosity parameter and without any regularity assumption on the solution.