A multigrid method for Helmholtz transmission eigenvalue problems
Document Type
Article
Publication Date
8-2014
Department
Department of Mathematical Sciences
Abstract
In this paper, we analyze the convergence of a finite element method for the computation of transmission eigenvalues and corresponding eigenfunctions. Based on the obtained error estimate results, we propose a multigrid method to solve the Helmholtz transmission eigenvalue problem. This new method needs only linear computational work. Numerical results are provided to validate the efficiency of the proposed method.
Publication Title
Journal of Scientific Computing
Recommended Citation
Ji, X.,
Sun, J.,
&
Xie, H.
(2014).
A multigrid method for Helmholtz transmission eigenvalue problems.
Journal of Scientific Computing,
60(2), 276-294.
http://doi.org/10.1007/s10915-013-9794-9
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4948
