Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary

@article{LpezYela2017FiniteEM,
  title={Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary},
  author={A. L{\'o}pez-Yela and Juan Manue P{\'e}rez-Pardo},
  journal={J. Comput. Physics},
  year={2017},
  volume={347},
  pages={235-260}
}
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… CONTINUE READING