Edge multiscale methods for elliptic problems with heterogeneous coefficients

Fu Shubin; Chung Eric; Li Guanglian

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Edge multiscale methods for elliptic problems with heterogeneous coefficients

机译：边缘多尺度方法，用于异构系数的椭圆问题

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摘要

In this paper, we proposed two new types of edge multiscale methods motivated by [14] to solve Partial Differential Equations (PDEs) with high-contrast heterogeneous coefficients: Edge Spectral Multiscale Finite Element Method (ESMsFEM) and Wavelet-based Edge Multiscale Finite Element Method (WEMsFEM). Their convergence rates for elliptic problems with high-contrast heterogeneous coefficients are demonstrated in terms of the coarse mesh size H, the number of spectral basis functions and the level of the wavelet space l, which are verified by extensive numerical tests. (C) 2019 Elsevier Inc. All rights reserved.

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来源
《Journal of Computational Physics》 |2019年第1期|共15页
作者
Fu Shubin; Chung Eric; Li Guanglian;
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作者单位

Chinese Univ Hong Kong Dept Math Hong Kong Peoples R China;

Chinese Univ Hong Kong Dept Math Hong Kong Peoples R China;

Imperial Coll London Dept Math London SW7 2AZ England;

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正文语种 eng
中图分类数学物理方法;
关键词
Multiscale; Heterogeneous; Edge; High-contrast; Steklov eigenvalue; Wavelets;

机译：多尺寸;异构;边缘;高对比度;斯蒂克洛夫特征值;小波;

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Edge multiscale methods for elliptic problems with heterogeneous coefficients

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