INVESTIGADORES
ACOSTA RODRIGUEZ Gabriel
congresos y reuniones científicas
Título:
Finite element approximations for a fractional Laplace equation
Autor/es:
G. ACOSTA; J. P. BORTHAGARAY
Lugar:
BRUNEL
Reunión:
Congreso; MAFELAP 2016; 2016
Institución organizadora:
BRUNEL UNIVERSITY
Resumen:
In this talk we deal with the integral version of the Dirichlet homogeneous fractionalLaplace equation. For this problem, weighted and fractional Sobolev a priori estimatesare provided in terms of the H¨older regularity of the data. By relying on these results,optimal order of convergence for the standard linear finite element method is provedfor adapted meshes designed to handle the singular behavior of solutions near theboundary. Some numerical examples are given showing results in agreement with thetheoretical predictions.
