Articulo
DPG Method with Optimal Test Functions for a Fractional Advection Diffusion Equation
Journal of Scientific Computing
Registro en:
1150056
1150056
Autor
Ervin, Vincent J
Fuhrer, Thomas
Heuer, Norbert
Karkulik, Michael
Institución
Resumen
We develop an ultra-weak variational formulation of a fractional advection diffusion problem in one space dimension and prove its well-posedness. Based on this formulation, we define a DPG approximation with optimal test functions and show its quasi-optimal convergence. Numerical experiments confirm expected convergence properties, for uniform and adaptively refined meshes. Keywords.
Author Keywords:Fractional diffusion Riemann-Liouville fractional integral DPG method with optimal test functions Ultra-weak formulation Regular 2015 FONDECYT FONDECYT