A New Multigrid Finite Element Method for the Transmission Eigenvalue Problems
Numerical Analysis
2016-01-12 v1
Abstract
Numerical methods for the transmission eigenvalue problems are hot topics in recent years. Based on the work of Lin and Xie [Math. Comp., 84(2015), pp. 71-88], 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.
Cite
@article{arxiv.1601.02361,
title = {A New Multigrid Finite Element Method for the Transmission Eigenvalue Problems},
author = {Jiayu Han and Yidu Yang and Hai Bi},
journal= {arXiv preprint arXiv:1601.02361},
year = {2016}
}