文献类型：期刊文献

英文题名：Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods

作者：Yuan, Quan[1];He, Zhiqing[1]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2009

卷号：233

期号：4

起止页码：1083

外文期刊名：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

收录：;EI(收录号：20094212379943);WOS:【SCI-EXPANDED(收录号:WOS:000271796000018)】；

语种：英文

外文关键词：Laplacian operator; Eigenvalue bounds; Variational methods; Trial functions; L-shaped region

摘要：In this study, the bounds for eigenvalues of the Laplacian operator on an L-shaped domain are determined. By adopting some special functions in Goerisch method for lower bounds and in traditional Rayleigh-Ritz method for upper bounds, very accurate bounds to eigenvalues for the problem are obtained. Numerical results show that these functions can also be successfully used to solve the problem on the region with other reentrant angle. (C) 2009 Elsevier B.V. All rights reserved.