Recursive integral method for transmission eigenvalues
Document Type
Article
Publication Date
12-15-2016
Abstract
© 2016 Elsevier Inc. Transmission eigenvalue problems arise from inverse scattering theory for inhomogeneous media. These non-selfadjoint problems are numerically challenging because of a complicated spectrum. In this paper, we propose a novel recursive contour integral method for matrix eigenvalue problems from finite element discretizations of transmission eigenvalue problems. The technique tests (using an approximate spectral projection) if a region contains eigenvalues. Regions that contain eigenvalues are subdivided and tested recursively until eigenvalues are isolated with a specified precision. The method is fully parallel and requires no a priori spectral information. Numerical examples show the method is effective and robust.
Publication Title
Journal of Computational Physics
Recommended Citation
Huang, R.,
Struthers, A.,
Sun, J.,
&
Zhang, R.
(2016).
Recursive integral method for transmission eigenvalues.
Journal of Computational Physics,
327, 830-840.
http://doi.org/10.1016/j.jcp.2016.10.001
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6670