Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics

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Review on the Virtual Element Method of Eigenvalue Problems

MENG Jian,   MEI Liquan   

  1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049
  • Online:2022-12-15 Published:2022-12-15
  • Supported by:
    The Fundamental Research Funds for the Central Universities (xzy022019040); the Science Challenge Project (TZ2016002).

Abstract:

With the introduction of the virtual element method, the numerical methods of eigenvalue problems have made further progress. This paper systematically summarizes the main achievements of the virtual element method for eigenvalue problems and claims the characteristics of various virtual element methods of eigenvalue problems. Based on the existing theory and numerical analysis, the problems which are needed to be solved on the virtual element method of eigenvalue problems are summarized.

Key words: virtual element method, eigenvalue problem, spectral theory, polygonal mesh, mesh adaptivity

CLC Number: