Speaker
Dr
Wenyu Lei
(Texas A&M University)
Description
In this talk, we propose a new nonconforming finite element algorithm to approximate a linear problem involving the integral fractional Laplacian. The method is based on the Dunford-Taylor integral representation of the bilinear form corresponding to the variational formulation. We obtain the approximated solution using the deal.II finite element library with a non-uniform mesh setting. Finally, as an application, we consider an obstacle problem involving the integral fractional Laplacian and several numerical simulations are also provided.
Primary author
Dr
Wenyu Lei
(Texas A&M University)