Fast Online Adaptive Enrichment for Poroelasticity with High Contrast
Abstract
In this work, we develop an online adaptive enrichment method within the framework of the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEM-GMsFEM) for solving the linear heterogeneous poroelasticity models with coefficients of high contrast. The proposed method makes use of information of residual-driven error indicators to enrich the multiscale spaces for both the displacement and the pressure variables in the model. Additional online basis functions are constructed in oversampled regions accordingly and are adaptively chosen to reduce the error the most. A complete theoretical analysis of the online enrichment algorithm is provided and justified by thorough numerical experiments.
Keywords
Cite
@article{arxiv.2208.05542,
title = {Fast Online Adaptive Enrichment for Poroelasticity with High Contrast},
author = {Xin Su and Sai-Mang Pun},
journal= {arXiv preprint arXiv:2208.05542},
year = {2023}
}
Comments
29 pages, 10 figures, 9 tables. Second round revision of Journal of Computational Physics