Computational Multiscale Methods for Linear Poroelasticity with High Contrast
For computational scientists solving poroelasticity problems with high-contrast heterogeneous media, this method offers an efficient multiscale approach.
The authors apply CEM-GMsFEM to linear poroelasticity with high-contrast coefficients, achieving first-order convergence demonstrated through numerical tests.
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 in order 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. Convergence of first order is shown and illustrated by a number of numerical tests.