A new multigrid finite element method for the transmission eigenvalue problems

Jiayu Han, Yidu Yang and Hai Bi

Applied Mathematics and Computation, 2017, vol. 292, issue C, 96-106

Abstract: Numerical methods for the transmission eigenvalue problems are hot topics in recent years. Based on the work of Lin and Xie (2015), we build a multigrid method to solve the problems. With our method, we only need to solve a series of primal and dual eigenvalue problems on a coarse mesh and the associated boundary value problems on the finer and finer meshes. Theoretical analysis and numerical results show that our method is simple and easy to implement and is efficient for computing real and complex transmission eigenvalues.

Keywords: Transmission eigenvalues; Multigrid method; Nonsymmetric eigenvalue problems (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:292:y:2017:i:c:p:96-106

DOI: 10.1016/j.amc.2016.07.022

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