Edge multiscale methods for elliptic problems with heterogeneous coefficients

JOURNAL OF COMPUTATIONAL PHYSICS

卷:396

Article

Fu, Shubin¹  Chung, Eric¹  Li, Guanglian² 

[1] Chinese Univ Hong Kong, Dept Math, Hong Kong, Peoples R China

[2] Imperial Coll London, Dept Math, London SW7 2AZ, England

关键词: Multiscale;    Heterogeneous;    Edge;    High-contrast;    Steklov eigenvalue;    Wavelets;   

DOI  :  10.1016/j.jcp.2019.06.006

来源: Elsevier

【 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.

【 授权许可】

Free