Localized Orthogonal Decomposition Method with H1 Interpolation for Multiscale Elliptic Problem
Abstract
This paper employs a localized orthogonal decomposition (LOD) method with H1 interpolation for solving the multiscale elliptic problem. This method does not need any assumptions on scale separation. We give a priori error estimate for the proposed method. The theoretical results are conformed by various numerical experiments.
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