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The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

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Relationship between multiscale enrichment and stabilized finite element methods for the generalized Stokes problem

Barrenechea, Gabriel and Valentin, Frédéric (2005) Relationship between multiscale enrichment and stabilized finite element methods for the generalized Stokes problem. Comptes Rendus Mathematique, 341 (10). pp. 635-640.

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Abstract

We derive a new stabilized finite element method for the generalized Stokes problem starting from the non-stable continuous finite element space enriched with multiscale functions. The stabilization parameter is related with the enrichment functions which are analytically computed from a boundary value problem at the element level leading to a method which is free of constants. Optimal error estimates are obtained in natural norms and numerical tests validate the method