Partially Explicit Generalized Multiscale Method for Poroelasticity Problem
Abstract
We develop a partially explicit time discretization based on the framework of constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) for the problem of linear poroelasticity with high contrast. Firstly, dominant basis functions generated by the CEM-GMsFEM approach are used to capture important degrees of freedom and it is known to give contrast-independent convergence that scales with the mesh size. In typical situation, one has very few degrees of freedom in dominant basis functions. This part is treated implicitly. Secondly, we design and introduce an additional space in the complement space and these degrees are treated explicitly. We also investigate the CFL-type stability restriction for this problem, and the restriction for the time step is contrast independent.
Cite
@article{arxiv.2310.14199,
title = {Partially Explicit Generalized Multiscale Method for Poroelasticity Problem},
author = {Xin Su and Wing Tat Leung and Wenyuan Li and Sai-Mang Pun},
journal= {arXiv preprint arXiv:2310.14199},
year = {2023}
}
Comments
23 Pages,61 figures. arXiv admin note: text overlap with arXiv:2208.05542