C0IPG for a Fourth Order Eigenvalue Problem

Xia Ji; Hongrui Geng; Jiguang Sun; Liwei Xu

doi:10.4208/cicp.131014.140715a

C⁰IPG for a Fourth Order Eigenvalue Problem

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

^*此作品的通讯作者

Chinese Academy of Sciences
Chongqing University
Michigan Technological University

科研成果: 期刊稿件 › 文章 › 同行评审

4 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
卷	19
期	2
DOI	https://doi.org/10.4208/cicp.131014.140715a
出版状态	已出版 - 1 2月 2016
已对外发布	是

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10.4208/cicp.131014.140715a

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引用此

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title = "C0IPG for a Fourth Order Eigenvalue Problem",

abstract = "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.",

keywords = "Fourth order eigenvalue problem, discontinuous Galerkin method, spectrum approximation",

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AU - Ji, Xia

AU - Geng, Hongrui

AU - Sun, Jiguang

AU - Xu, Liwei

PY - 2016/2/1

Y1 - 2016/2/1

N2 - 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.

AB - 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.

KW - Fourth order eigenvalue problem

KW - discontinuous Galerkin method

KW - spectrum approximation

UR - https://www.scopus.com/pages/publications/85000613198

U2 - 10.4208/cicp.131014.140715a

DO - 10.4208/cicp.131014.140715a

M3 - Article

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EP - 410

JO - Communications in Computational Physics

JF - Communications in Computational Physics

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C0IPG for a Fourth Order Eigenvalue Problem

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C⁰IPG for a Fourth Order Eigenvalue Problem