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

Xia Ji, Yingxia Xi & Hehu Xie

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

Published online: 2018-05

Preview Full PDF 387 1128
Export citation
  • 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

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-9-92, author = {}, 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 JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 92 EP - 103 PY - 2018 DA - 2018/05 SN - 9 DO - http://dor.org/10.4208/aamm.2015.m1295 UR - https://global-sci.org/intro/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.

Xia Ji, Yingxia Xi & Hehu Xie. (2020). 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
Copy to clipboard
The citation has been copied to your clipboard