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Author:

Chen, Long (Chen, Long.) | Huang, Jianguo (Huang, Jianguo.)

Indexed by:

Scopus SCIE

Abstract:

Some error analyses on virtual element methods (VEMs) including inverse inequalities, norm equivalence, and interpolation error estimates are developed for polygonal meshes, each element of which admits a virtual quasi-uniform triangulation. This sub-mesh regularity covers the usual ones used for theoretical analysis of VEMs, and the proofs are presented by means of standard technical tools in finite element methods.

Keyword:

Interpolation error estimate Virtual elements Norm equivalence Inverse inequality

Author Community:

  • [ 1 ] [Chen, Long]Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
  • [ 2 ] [Chen, Long]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China
  • [ 3 ] [Huang, Jianguo]Shanghai Jiao Tong Univ, Sch Math Sci, MOE LSC, Shanghai 200240, Peoples R China

Reprint Author's Address:

  • [Huang, Jianguo]Shanghai Jiao Tong Univ, Sch Math Sci, MOE LSC, Shanghai 200240, Peoples R China

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Related Keywords:

Source :

CALCOLO

ISSN: 0008-0624

Year: 2018

Issue: 1

Volume: 55

1 . 7 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:63

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 132

SCOPUS Cited Count: 108

ESI Highly Cited Papers on the List: 21 Unfold All

  • 2025-5
  • 2025-3
  • 2025-1
  • 2024-11
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  • 2024-9
  • 2024-9
  • 2024-7
  • 2024-5
  • 2024-3
  • 2024-1
  • 2023-11
  • 2023-9
  • 2023-7
  • 2023-5
  • 2023-3
  • 2023-1
  • 2022-11
  • 2022-9
  • 2022-7
  • 2022-5

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

Affiliated Colleges:

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