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

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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. (https://doi.org/10.1016/j.crma.2005.09.038)

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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

ORCID iDs

Barrenechea, Gabriel ORCID logoORCID: https://orcid.org/0000-0003-4490-678X and Valentin, Frédéric;
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