Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods
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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.
论文关键词：35P15,65N25,Laplacian operator,Eigenvalue bounds,Variational methods,Trial functions,L-shaped region
论文评审过程：Received 13 January 2009, Revised 20 July 2009, Available online 4 September 2009.
论文官网地址：https://doi.org/10.1016/j.cam.2009.08.114
