C0IPG for a Fourth Order Eigenvalue Problem

Xia Ji*, Hongrui Geng, Jiguang Sun, Liwei Xu

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

3 引用 (Scopus)

摘要

This paper concerns numerical computation of a fourth order eigenvalue problem. We first show the well-posedness of the source problem. An interior penalty discontinuous Galerkin method (C0IPG) using Lagrange elements is proposed and its convergence is studied. The method is then used to compute the eigenvalues. We show that the method is spectrally correct and prove the optimal convergence. Numerical examples are presented to validate the theory.

源语言英语
页(从-至)393-410
页数18
期刊Communications in Computational Physics
19
2
DOI
出版状态已出版 - 1 2月 2016
已对外发布

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