Localized Orthogonal Decomposition Method with H¹ Interpolation for Multiscale Elliptic Problem

2024/11/01 by Tao Yu, Yu, Tao, Xingye Yue +1
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Advanced Numerical Methods in Computational Mathematics

paper · pdf · doi:10.48550/arxiv.2411.00363

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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