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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	393-410
Number of pages	18
Journal	Communications in Computational Physics
Volume	19
Issue number	2
DOIs	https://doi.org/10.4208/cicp.131014.140715a
Publication status	Published - 1 Feb 2016
Externally published	Yes

Keywords

Fourth order eigenvalue problem
discontinuous Galerkin method
spectrum approximation

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10.4208/cicp.131014.140715a

Cite this

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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.",

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author = "Xia Ji and Hongrui Geng and Jiguang Sun and Liwei Xu",

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T1 - C0IPG for a Fourth Order Eigenvalue Problem

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

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U2 - 10.4208/cicp.131014.140715a

DO - 10.4208/cicp.131014.140715a

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SP - 393

EP - 410

JO - Communications in Computational Physics

JF - Communications in Computational Physics

IS - 2

ER -

C⁰IPG for a Fourth Order Eigenvalue Problem

Abstract

Keywords

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