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Author:

Chen, Long (Chen, Long.) | Wang, Feng (Wang, Feng.)

Indexed by:

EI Scopus SCIE

Abstract:

Some virtual element methods on polytopal meshes for the Stokes problem are proposed and analyzed. The pressure is approximated by discontinuous polynomials, while the velocity is discretized by H(div) virtual elements enriched with some tangential polynomials on the element boundaries. A weak symmetric gradient of the velocity is computed using the corresponding degree of freedoms. The main feature of the method is that it exactly preserves the divergence free constraint, and therefore the error estimates for the velocity does not explicitly depend on the pressure.

Keyword:

Virtual element methods H(div) element Divergence free Stokes equations

Author Community:

  • [ 1 ] [Chen, Long]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 2 ] [Chen, Long]Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
  • [ 3 ] [Wang, Feng]Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China

Reprint Author's Address:

  • [Wang, Feng]Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China

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Source :

JOURNAL OF SCIENTIFIC COMPUTING

ISSN: 0885-7474

Year: 2019

Issue: 2

Volume: 78

Page: 864-886

2 . 5 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 40

SCOPUS Cited Count: 41

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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