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Volume 9, Issue 1
Nonconforming Finite Element Method for the Transmission Eigenvalue Problem

Xia Ji, Yingxia Xi & Hehu Xie

DOI: 10.4208/aamm.2015.m1295

Adv. Appl. Math. Mech., 9 (2017), pp. 92-103.

Published online: 2018-05

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  • 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.

  • Keywords

Transmission eigenvalue, Morley element, nonconforming finite element method.

  • AMS Subject Headings

34L16, 65M60

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-92, author = {Ji , XiaXi , Yingxia and Xie , Hehu}, title = {Nonconforming Finite Element Method for the Transmission Eigenvalue Problem}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {1}, pages = {92--103}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m1295}, url = {http://global-sci.org/intro/article_detail/aamm/12138.html} }
TY - JOUR T1 - Nonconforming Finite Element Method for the Transmission Eigenvalue Problem AU - Ji , Xia AU - Xi , Yingxia AU - Xie , Hehu JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 92 EP - 103 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2015.m1295 UR - https://global-sci.org/intro/article_detail/aamm/12138.html KW - Transmission eigenvalue, Morley element, nonconforming finite element method. 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.

Ji , XiaXi , Yingxia and Xie , Hehu. (2018). Nonconforming Finite Element Method for the Transmission Eigenvalue Problem. Advances in Applied Mathematics and Mechanics. 9 (1). 92-103. doi:10.4208/aamm.2015.m1295
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