Jul 23 – 27, 2018
SISSA Main Building
Europe/Rome timezone

Numerical Approximation of the Integral Fractional Laplacian

Jul 26, 2018, 9:45 AM
45m
Meeting Room -- VII Floor (SISSA Main Building)

Meeting Room -- VII Floor

SISSA Main Building

Via Bonomea 265 34136 -- Trieste -- Italy
Invited talks Users' track Keynotes

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)

Presentation materials