Online basis construction for goal-oriented adaptivity in the generalized multiscale finite element method

JOURNAL OF COMPUTATIONAL PHYSICS

卷:393

Article

Chung, Eric¹  Pollock, Sara²  Pun, Sai-Mang¹ 

[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

关键词: Goal-oriented adaptivity;    Multiscale finite element method;    Online basis construction;    Flow in heterogeneous media;   

DOI  :  10.1016/j.jcp.2019.05.009

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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