Online basis construction for goal-oriented adaptivity in the Generalized Multiscale Finite Element Method
Numerical Analysis
2019-06-26 v2
Abstract
In this research, we develop an online enrichment framework for goal-oriented adaptivity within the generalized multiscale finite element method for flow problems in heterogeneous media. The method for approximating the quantity of interest involves construction of residual-based primal and dual basis functions used to enrich the multiscale space at each stage of the adaptive algorithm. Three different online enrichment strategies based on the primal-dual online basis construction are proposed: standard, primal-dual combined and primal-dual product based. Numerical experiments are performed to illustrate the efficiency of the proposed methods for high-contrast heterogeneous problems.
Cite
@article{arxiv.1812.02290,
title = {Online basis construction for goal-oriented adaptivity in the Generalized Multiscale Finite Element Method},
author = {Eric T. Chung and Sara Pollock and Sai-Mang Pun},
journal= {arXiv preprint arXiv:1812.02290},
year = {2019}
}
Comments
22 pages, 7 figures