Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM

JOURNAL OF COMPUTATIONAL PHYSICS

卷:409

Article

Chung, Eric¹  Pun, Sai-Mang¹ 

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

关键词: Wave propagation;    Mixed formulation;    GMsFEM;    Constraint energy minimization;   

DOI  :  10.1016/j.jcp.2020.109359

来源: Elsevier

【 摘 要 】

In this paper, we consider a pressure-velocity formulation of the heterogeneous wave equation and employ the constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) to solve this problem. The proposed method provides a flexible framework to construct crucial multiscale basis functions for approximating the pressure and velocity. These basis functions are constructed by solving a class of local auxiliary optimization problems over the eigenspaces that contain local information on the heterogeneity. Techniques of oversampling are adapted to enhance the computational performance. The first-order convergence of the proposed method is proved and illustrated by several numerical tests. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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