Articles

LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS

  • Guangzhi DU ,
  • Liyun ZUO
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  • 1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China;
    2. School of Mathematical Sciences, University of Jinan, Jinan 250022, China

Received date: 2016-04-06

  Revised date: 2016-11-09

  Online published: 2017-10-25

Supported by

Supported by NSFC (11571274 and 11401466).

Abstract

In this paper, we consider the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions. Based on two-grid discretizations, a local and parallel finite element algorithm for this mixed model is proposed and analyzed. Optimal errors are obtained and numerical experiments are presented to show the efficiency and effectiveness of the local and parallel finite element algorithm.

Cite this article

Guangzhi DU , Liyun ZUO . LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS[J]. Acta mathematica scientia, Series B, 2017 , 37(5) : 1331 -1347 . DOI: 10.1016/S0252-9602(17)30076-0

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