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Edge multiscale methods for elliptic problems with heterogeneous coefficients

delete2019-11-01
delete19
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OA
AI
S
Shubin Fu
E
Eric T. Chung
G
Guanglian Li *
DOI:10.1016/j.jcp.2019.06.006delete
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摘要

摘要

En 中文
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.
Keyword:
Multiscale
Heterogeneous
Edge
High-contrast
Steklov eigenvalue
Wavelets
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期刊

Journal of Computational Physics 封面图
Journal of Computational Physics
IF:
3.8
论文数:
1.6W
被引数:
7.4W

机构

C
Chinese University of Hong Kong
学者数:
3.4W
论文数: 3.2W
被引数: 5.6W
I
Imperial College London
学者数:
8.3W
论文数: 7.3W
被引数: 11.1W
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