On the variational approach to defining splines on L-shaped regions
β Scribed by Lois Mansfield
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 694 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
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.
The classical definition of the action functional, for a dynamical system on curved manifolds, can be extended to the case of diffusion processes. For the stochastic action functional so obtained, we introduce variational principles of the type proposed by Morato. In order to generalize the class of