| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4641069 | Journal of Computational and Applied Mathematics | 2009 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Quan Yuan, Zhiqing He,