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 algorithms rely their Balakrishnan integral representation and consist a sinc quadrature coupled with standard finite element methods for parametric Possibly up to log term, optimal rates convergence are observed derived analytically when the discrepancies between exact solution its measured in $L^2$ $H^1$. performances illustrated different settings including approximation Gaussian fields