Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 433, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2022.127402
Keywords
Nonconforming virtual element; Semilinear elliptic problem; Polygonal or polyhedral mesh
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Funding
- National Natural Science Foundation of China [11701522, 11501524]
- Innovative Funds Plan of Henan University of Technology [2021ZKCJ11]
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The paper develops the nonconforming virtual element method (VEM) for the semilinear elliptic problem and approximates the nonlinear right-hand side using the L(2) projection. It proves the optimal convergence of the nonconforming VEM in the broken H-1 norm and carries out numerical experiments to support the theoretical results.
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.
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