Nonconforming finite element method for the transmission eigenvalue problem

Xia Ji; Yingxia Xi; Hehu Xie

doi:10.4208/aamm.2015.m1295

Nonconforming finite element method for the transmission eigenvalue problem

Xia Ji, Yingxia Xi, Hehu Xie^*

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences

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

17 Citations (Scopus)

Abstract

In this paper, we analyze a nonconforming finite element method for the computation of transmission eigenvalues and the corresponding eigenfunctions. The error estimates of the eigenvalue and eigenfunction approximation are given, respectively. Finally, some numerical examples are provided to validate the theoretical results.

Original language	English
Pages (from-to)	92-103
Number of pages	12
Journal	Advances in Applied Mathematics and Mechanics
Volume	9
Issue number	1
DOIs	https://doi.org/10.4208/aamm.2015.m1295
Publication status	Published - 1 Feb 2017
Externally published	Yes

Keywords

Morley element
Nonconforming finite element method
Transmission eigenvalue

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title = "Nonconforming finite element method for the transmission eigenvalue problem",

abstract = "In this paper, we analyze a nonconforming finite element method for the computation of transmission eigenvalues and the corresponding eigenfunctions. The error estimates of the eigenvalue and eigenfunction approximation are given, respectively. Finally, some numerical examples are provided to validate the theoretical results.",

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author = "Xia Ji and Yingxia Xi and Hehu Xie",

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T1 - Nonconforming finite element method for the transmission eigenvalue problem

AU - Ji, Xia

AU - Xi, Yingxia

AU - Xie, Hehu

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N2 - In this paper, we analyze a nonconforming finite element method for the computation of transmission eigenvalues and the corresponding eigenfunctions. The error estimates of the eigenvalue and eigenfunction approximation are given, respectively. Finally, some numerical examples are provided to validate the theoretical results.

AB - In this paper, we analyze a nonconforming finite element method for the computation of transmission eigenvalues and the corresponding eigenfunctions. The error estimates of the eigenvalue and eigenfunction approximation are given, respectively. Finally, some numerical examples are provided to validate the theoretical results.

KW - Morley element

KW - Nonconforming finite element method

KW - Transmission eigenvalue

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DO - 10.4208/aamm.2015.m1295

M3 - Article

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EP - 103

JO - Advances in Applied Mathematics and Mechanics

JF - Advances in Applied Mathematics and Mechanics

IS - 1

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Nonconforming finite element method for the transmission eigenvalue problem

Abstract

Keywords

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