期刊
ADVANCES IN COMPUTATIONAL MATHEMATICS
卷 46, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/s10444-020-09743-9
关键词
Nonconforming virtual element; Fourth-order singular perturbation problem; Polygonal mesh
资金
- National Natural Science Foundation of China [11701522, 11601124]
- Research Foundation for Advanced Talents of Henan University of Technology [2018BS013]
- China Scholarship Council [201907045004]
We present the nonconforming virtual element method for the fourth-order singular perturbation problem. The virtual element proposed in this paper is a variant of the C-0-continuous nonconforming virtual element presented in our previous work and allows to compute two different projection operators that are used for the construction of the discrete scheme. We show the optimal convergence in the energy norm for the nonconforming virtual element method. Further, the lowest order nonconforming method is proved to be uniformly convergent with respect to the perturbation parameter. Finally, we verify the convergence for the nonconforming virtual element method by some numerical tests.
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