Year: 2017
Author: Yingxia Xi, Xia Ji
Journal of Computational Mathematics, Vol. 35 (2017), Iss. 6 : pp. 828–838
Abstract
The transmission eigenvalue problem is an eigenvalue problem that arises in the scattering of time-harmonic waves by an inhomogeneous medium of compact support. Based on a fourth order formulation, the transmission eigenvalue problem is discretized by the Morley element. For the resulting quadratic eigenvalue problem, a recursive integral method is used to compute real and complex eigenvalues in prescribed regions in the complex plane. Numerical examples are presented to demonstrate the effectiveness of the proposed method.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1701-m2015-0443
Journal of Computational Mathematics, Vol. 35 (2017), Iss. 6 : pp. 828–838
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Transmission eigenvalue problem Nonlinear eigenvalue problem Contour integrals.
Author Details
-
The method of fundamental solutions for computing acoustic interior transmission eigenvalues
Kleefeld, Andreas | Pieronek, LukasInverse Problems, Vol. 34 (2018), Iss. 3 P.035007
https://doi.org/10.1088/1361-6420/aaa72d [Citations: 18] -
A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem
Xi, Yingxia | Ji, Xia | Zhang, ShuoIMA Journal of Numerical Analysis, Vol. 40 (2020), Iss. 1 P.686
https://doi.org/10.1093/imanum/dry061 [Citations: 8] -
A High Accuracy Nonconforming Finite Element Scheme for Helmholtz Transmission Eigenvalue Problem
Xi, Yingxia | Ji, Xia | Zhang, ShuoJournal of Scientific Computing, Vol. 83 (2020), Iss. 3
https://doi.org/10.1007/s10915-020-01247-4 [Citations: 5]