Localized Orthogonal Decomposition Method with $H^1$ Interpolation for Multiscale Elliptic Problem

Published 1 Nov 2024 in math.NA and cs.NA | (2411.00363v1)

Abstract: This paper employs a localized orthogonal decomposition (LOD) method with $H^1$ 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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