Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967142 | Journal of Computational Physics | 2017 | 26 Pages |
Abstract
A numerical scheme to compute the spectrum of a large class of self-adjoint extensions of the Laplace-Beltrami operator on manifolds with boundary in any dimension is presented. The algorithm is based on the characterisation of a large class of self-adjoint extensions of Laplace-Beltrami operators in terms of their associated quadratic forms. The convergence of the scheme is proved. A two-dimensional version of the algorithm is implemented effectively and several numerical examples are computed showing that the algorithm treats in a unified way a wide variety of boundary conditions.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
A. López-Yela, J.M. Pérez-Pardo,