COMPUTATIONAL MULTISCALE METHODS FOR LINEAR HETEROGENEOUS POROELASTICITY

作     者：Robert Altmann Eric Chung Roland Maier Daniel Peterseim Sai-Mang Pun Robert Altmann;Eric Chung;Roland Maier;Daniel Peterseim;Sai-Mang Pun

作者机构：Department of MathematicsUniversity of AugsburgAugsburgGermany Department of MathematicsThe Chinese University of Hong KongHong KongChina Department of MathematicsTexas UniversityUSA 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2020年第38卷第1期

页      面：41-57页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：sponsored by the German Academic Exchange Service(DAAD)under the project the Research Grants Council of Hong Kong with reference support by the Sino-German Science Center on the occasion of the Chinese-German Workshop on Computational and Applied Mathematics in Shanghai 2017 

主　　题：Poroelasticity Heterogeneous media Numerical homogenization Multiscale methods 

摘      要：We consider a strongly heterogeneous medium saturated by an incompressible viscous fluid as it appears in geomechanical *** poroelasticity problem suffers from rapidly oscillating material parameters,which calls for a thorough numerical *** this paper,we propose a method based on the local orthogonal decomposition technique and motivated by a similar approach used for linear ***,local corrector problems are constructed in line with the static equations,whereas we propose to consider the full *** allows to benefit from the given saddle point structure and results in two decoupled corrector problems for the displacement and the *** prove the optimal first-order convergence of this method and verify the result by numerical experiments.