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Edge multiscale methods for elliptic problems with heterogeneous coefficients
DOI:10.1016/j.jcp.2019.06.006.png)
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
IF:
3.8
论文数:
1.6W
被引数:
7.4W

