A modified local and parallel finite element method for the mixed Stokes-Darcy model

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:435

Article

Du, Guangzhi¹  Hou, Yanten^1,2  Zuo, Liyun¹ 

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

[2] Xi An Jiao Tong Univ, Ctr Computat Geosci, Xian 710049, Shaanxi, Peoples R China

关键词: Stokes equations;    Darcy's law;    Decoupling;    Two-grid algorithm;    Parallel finite element method;   

DOI  :  10.1016/j.jmaa.2015.11.003

来源: Elsevier

【 摘 要 】

Based on two-grid discretizations, a modified local and parallel finite element algorithm for the mixed Stokes-Darcy problem is proposed and analyzed in this paper. The idea is that, on the coarse grid, we solve a coupled Stokes-Darcy problem; on the fine grid, we first consider the discrete Darcy problem with a coarse grid approximation u(H) to the interface coupling conditions, then solve a series of independent local Stokes subproblems with the numerical solution of Darcy problem on fine grid to the interface coupling conditions in parallel. Optimal error estimates are obtained, and numerical experiments demonstrate the accuracy and efficiency of the modified local and parallel algorithm. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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