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论文期刊

论文标题    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
相关文章   
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,
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