High-Order Multiscale Finite Element Method for Elliptic Problems

Abstract

In this paper, a new high-order multiscale finite element method is developed for elliptic problems with highly oscillating coefficients. The method is inspired by the multiscale finite element method developed in [3], but a more explicit multiscale finite element space is constructed. The approximation space is nonconforming when oversampling technique is… (More)
DOI: 10.1137/120898024

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