Computational Multiscale Methods for Linear Poroelasticity with High Contrast
arXiv:1812.03654 · doi:10.1016/j.jcp.2019.06.027
Abstract
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.
14 pages, 9 figures
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Cited by in corpus (5)
- Constraint energy minimizing generalized multiscale finite element method for nonlinear poroelasticity and elasticity
- Multiscale simulations for multi-continuum Richards equations
- Constraint Energy Minimizing Generalized Multiscale Finite Element Method for multi-continuum Richards equations
- Fast Online Adaptive Enrichment for Poroelasticity with High Contrast
- Mixed GMsFEM for linear poroelasticity problems in heterogeneous porous media