The nonconforming virtual element method for semilinear elliptic problems

Liuchao Xiao, Meng Zhou and Jikun Zhao

Applied Mathematics and Computation, 2022, vol. 433, issue C

Abstract: 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 L2 projection. The optimal convergence of the nonconforming VEM in the broken H1 norm is proved. Finally, some numerical experiments are carried out to support the theoretical results.

Keywords: Nonconforming virtual element; Semilinear elliptic problem; Polygonal or polyhedral mesh (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:433:y:2022:i:c:s0096300322004763

DOI: 10.1016/j.amc.2022.127402

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