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The nonconforming virtual element method for semilinear elliptic problems

delete2022-11-01
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PRE
AI
L
Liuchao Xiao *
周孟 (Meng Zhou)
赵纪坤 cover
赵纪坤 (Jikun Zhao)
DOI:10.1016/j.amc.2022.127402delete
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Abstract

Abstract

En 中文
The nonconforming virtual element method (VEM) for the semilinear elliptic problem is developed in this paper. The nonlinear right-hand side is approximated by using the L(2 )projection. The optimal convergence of the nonconforming VEM in the broken H-1 norm is proved. Finally, some numerical experiments are carried out to support the theoretical results. (c) 2022 Elsevier Inc. All rights reserved.
Keywords:
Nonconforming virtual element
Semilinear elliptic problem
Polygonal or polyhedral mesh

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

H
Henan University of Technology
Scholars:
8.8K
Papers: 5.2K
Citations: 7.1K
Z
Zhengzhou University
Scholars:
6.8W
Papers: 4.4W
Citations: 8.5W
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