论文期刊

A virtual element method for the Laplacian eigenvalue problem in mixed form




作者: Jian Meng, Yongchao Zhang, Liquan Mei
发表/完成日期: 2020-04-23
期刊名称: Applied Numerical Mathematics
期卷: 156
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论文简介
In this paper, the virtual element method for the approximation of Laplacian eigenvalue problem in mixed form is studied. We show that the discrete form satisfies the hypotheses required by the Brezzi-Bab ˇ uska theory. Under some assumptions on polygonal meshes, we employ the spectral theory of compact operators to prove the spectral approximation and the optimal order for the eigenvalues. Finally, some numerical results show that numerical eigenvalues obtained by the proposed numerical scheme can achieve the optimal convergence order.

https://doi.org/10.1016/j.apnum.2020.03.026
WOS:000540678600001,