A Multilevel Correction Method for Interior Transmission Eigenvalue Problem
Abstract
In this paper, we give a numerical analysis for the transmission eigenvalue problem by the finite element method. A type of multilevel correction method is proposed to solve the transmission eigenvalue problem. The multilevel correction method can transform the transmission eigenvalue solving in the finest finite element space to a sequence of linear problems and some transmission eigenvalue solving in a very low dimensional spaces. Since the main computational work is to solve the sequence of linear problems, the multilevel correction method improves the overfull efficiency of the transmission eigenvalue solving. Some numerical examples are provided to validate the theoretical results and the efficiency of the proposed numerical scheme.
Cite
@article{arxiv.1512.05163,
title = {A Multilevel Correction Method for Interior Transmission Eigenvalue Problem},
author = {Hehu Xie and Xinming Wu},
journal= {arXiv preprint arXiv:1512.05163},
year = {2016}
}
Comments
26 pages, 10 figures. arXiv admin note: text overlap with arXiv:1505.06288