MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems

Claude Le Bris (), Frédéric Legoll () and Alexei Lozinski ()
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Claude Le Bris: École Nationale des Ponts et Chaussées
Frédéric Legoll: École Nationale des Ponts et Chaussées
Alexei Lozinski: Université Paul Sabatier, Institut de Mathématiques de Toulouse

A chapter in Partial Differential Equations: Theory, Control and Approximation, 2014, pp 265-294 from Springer

Abstract: Abstract We introduce and analyze a multiscale finite element type method (MsFEM) in the vein of the classical Crouzeix-Raviart finite element method that is specifically adapted for highly oscillatory elliptic problems. We illustrate numerically the efficiency of the approach and compare it with several variants of MsFEM.

Keywords: Homogenization; Finite elements; Galerkin methods; Highly oscillatory PDE; 35B27; 65M60; 65M12 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-41401-5_11

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DOI: 10.1007/978-3-642-41401-5_11

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