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MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems

MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems
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摘要 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. 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.
作者 Claude LE BRIS Frédéric LEGOLL Alexei LOZINSKI
机构地区 cole Nationale des Ponts et Chaussées INRIA Rocquencourt Institut de Mathématiques de Toulouse Laboratoire de Mathématiques CNRS UMR
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2013年第1期113-138,共26页 数学年刊（B辑英文版）
基金 supported by ONR under Grant (No. N00014-12-1-0383) EOARD under Grant (No. FA8655-10-C-4002)
关键词 椭圆问题 振荡 A类 有限元方法 多尺度 Homogenization, Finite elements, Galerkin methods, Highly oscillatoryPDE
分类号 O241.82 [理学—计算数学] TM711 [电气工程—电力系统及自动化]
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Chinese Annals of Mathematics,Series B
2013年 第1期

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