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Author:

Ling, Min (Ling, Min.) | Wang, Fei (Wang, Fei.) | Han, Weimin (Han, Weimin.)

Indexed by:

EI SCIE Scopus Engineering Village

Abstract:

In this paper, the nonconforming virtual element method is studied to solve a hemivariational inequality problem for the stationary Stokes equations with a nonlinear slip boundary condition. The nonconforming virtual elements enriched with polynomials on slip boundary are used to discretize the velocity, and discontinuous piecewise polynomials are used to approximate the pressure. The inf-sup condition is shown for the nonconforming virtual element method. An error estimate is derived under appropriate solution regularity assumptions, and the error bound is of optimal order when lowest-order virtual elements for the velocity and piecewise constants for the pressure are used. A numerical example is presented to illustrate the theoretically predicted convergence order. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Keyword:

Boundary conditions Nonlinear equations

Author Community:

  • [ 1 ] [Ling, Min]School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an; Shaanxi; 710049, China
  • [ 2 ] [Wang, Fei]School of Mathematics and Statistics and State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an; Shaanxi; 710049, China
  • [ 3 ] [Han, Weimin]School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an; Shaanxi; 710049, China
  • [ 4 ] [Han, Weimin]Department of Mathematics and Program in Applied Mathematical and Computational Sciences, University of Iowa, Iowa City; IA; 52242, United States

Reprint Author's Address:

  • [Wang, Fei]School of Mathematics and Statistics and State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an; Shaanxi; 710049, China;;

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Source :

Journal of Scientific Computing

ISSN: 0885-7474

Year: 2020

Issue: 3

Volume: 85

2 . 5 9 2

JCR@2020

2 . 5 9 2

JCR@2020

ESI Discipline: MATHEMATICS;

ESI HC Threshold:28

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 6

SCOPUS Cited Count: 26

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 14

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