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Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods

✍ Scribed by Quan Yuan; Zhiqing He

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 459 KB
Volume: 233
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.08.114

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✦ Synopsis

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.

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