López Yela, AlbertoPérez Pardo, Juan Manuel2024-01-182024-01-182017-07-170021-9991https://hdl.handle.net/10115/28541A 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.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Self-adjoint extensionsSpectral problemLaplaceHigher dimensionBoundary conditionsFinite element methodinfo:eu-repo/semantics/article10.1016/j.jcp.2017.06.043info:eu-repo/semantics/openAccess