RT Journal Article
T1 Finite element method to solve the spectral problem for arbitrary self-adjoint extensions of the Laplace-Beltrami operator on manifolds with a boundary
A1 López Yela, Alberto
A1 Pérez Pardo, Juan Manuel
AB 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.
PB Elsevier
SN 0021-9991
YR 2017
FD 2017-10-15
LK https://hdl.handle.net/10016/31986
UL https://hdl.handle.net/10016/31986
LA eng
DS e-Archivo
RD 27 jul. 2024