Online mixed multiscale finite element method with oversampling and its applications
Numerical Analysis
2018-07-03 v1
Abstract
In this paper, we consider an online basis enrichment mixed generalized multiscale method with oversampling, for solving flow problems in highly heterogeneous porous media. This is an exten- sion of the online mixed generalized multiscale method [6]. The multiscale online basis functions are computed by solving a Neumann problem in an over-sampled domain, instead of a standard neighborhood of a coarse face. We are motivated by the restricted domain decomposition method. Extensive numerical experiments are presented to demonstrate the performance of our methods for both steady-state flow, and two-phase flow and transport problems.
Cite
@article{arxiv.1807.00710,
title = {Online mixed multiscale finite element method with oversampling and its applications},
author = {Yanfang Yang and Shubin Fu and Eric T Chung},
journal= {arXiv preprint arXiv:1807.00710},
year = {2018}
}