Numerical Homogenization of Heterogeneous Fractional Laplacians
Numerical Homogenization of Heterogeneous Fractional Laplacians
In this paper, we develop a numerical multiscale method to solve the fractional Laplacian with a heterogeneous diffusion coefficient. When the coefficient is heterogeneous, this adds to the computational costs. Moreover, the fractional Laplacian is a nonlocal operator in its standard form; however, the Caffarelli--Silvestre extension allows for a localization …