Computational multiscale methods for linear poroelasticity with high contrast

JOURNAL OF COMPUTATIONAL PHYSICS

卷:395

Article

Fu, Shubin²  Altmann, Robert¹  Chung, Eric T.²  Maier, Roland¹  Peterseim, Daniel¹  Pun, Sai-Mang² 

[1] Univ Augsburg, Dept Math, Augsburg, Germany

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

关键词: Linear poroelasticity;    High contrast values;    Generalized multiscale finite element method;    Constraint energy minimization;   

DOI  :  10.1016/j.jcp.2019.06.027

来源: Elsevier

【 摘 要 】

In this work, we employ the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) to solve the problem of linear heterogeneous poroelasticity with coefficients of high contrast. The proposed method makes use of the idea of energy minimization with suitable constraints to generate efficient basis functions for the displacement and the pressure. These basis functions are constructed by solving a class of local auxiliary optimization problems based on eigenfunctions containing local information on the heterogeneity. Techniques of oversampling are adapted to enhance the computational performance. A convergence of first order is shown and illustrated by several numerical tests. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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