Araya, R. and Barrenechea, G.R. and Poza, A. (2008) An adaptive stabilized finite element method for the generalized Stokes problem. Journal of Computational and Applied Mathematics, 214 (2). pp. 457479. ISSN 03770427

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Abstract
In this work we present an adaptive strategy (based on an a posteriori error estimator) for a stabilized finite element method for the Stokes problem, with and without a reaction term. The hierarchical type estimator is based on the solution of local problems posed on appropriate finite dimensional spaces of bubblelike functions. An equivalence result between the norm of the finite element error and the estimator is given, where the dependence of the constants on the physics of the problem is explicited. Several numerical results confirming both the theoretical results and the good performance of the estimator are given.
Item type:  Article 

ID code:  15118 
Keywords:  Stokes equation, a posteriori error estimator, bubble function, stabilized finite element method, adapted mesh, Mathematics, Computational Mathematics, Applied Mathematics 
Subjects:  Science > Mathematics 
Department:  Faculty of Science > Mathematics and Statistics 
Depositing user:  Mrs Irene Spencer 
Date Deposited:  03 Feb 2010 18:26 
Last modified:  27 Mar 2015 00:41 
URI:  http://strathprints.strath.ac.uk/id/eprint/15118 
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