A Holomorphic Operator Function Approach for the Laplace Eigenvalue Problem Using Discontinuous Galerkin Method

Yingxia Xi*, Xia Ji*

*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用 （Scopus）
Plum Print visual indicator of research metrics
  • Citations
    • Citation Indexes: 1
  • Captures
    • Readers: 2
see details

摘要

The paper presents a holomorphic operator function approach for the Laplace eigenvalue problem using the discontinuous Galerkin method. We rewrite the problem as the eigenvalue problem of a holomorphic Fredholm operator function of index zero. The convergence for the discontinuous Galerkin method is proved by using the abstract approximation theory for holomorphic operator functions. We employ the spectral indicator method to compute the eigenvalues. Extensive numerical examples are presented to validate the theory.

源语言英语
页（从-至）776-792
页数17
期刊CSIAM Transactions on Applied Mathematics
卷2
期4
DOI
出版状态已出版 - 1 12月 2021

访问文件

其它文件与链接

指纹

探究 'A Holomorphic Operator Function Approach for the Laplace Eigenvalue Problem Using Discontinuous Galerkin Method' 的科研主题。它们共同构成独一无二的指纹。
查看全指纹

引用此

Xi, Y., & Ji, X. (2021). A Holomorphic Operator Function Approach for the Laplace Eigenvalue Problem Using Discontinuous Galerkin Method. CSIAM Transactions on Applied Mathematics, 2(4), 776-792. https://doi.org/10.4208/csiam-am.SO-2021-0012