Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator
Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator
We consider numerical approximations of spectral fractional Laplace-Beltrami problems on closed surfaces. The proposed numerical algorithms rely on their Balakrishnan integral representation and consist of a sinc quadrature coupled with standard finite element methods for parametric surfaces. Possibly up to a log term, optimal rates of convergence are observed and …