Title

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

Link to Full Text

Share

COinS