168 citations · 435 across the 24 of their papers we have counts for
5 papers · 1 filter
Convergence and superconvergence analyses of HDG methods for time fractional diffusion problems
Kassem Mustapha, Maher Nour, Bernardo Cockburn
We study the hybridizable discontinuous Galerkin (HDG) method for the spatial discretization of time fractional diffusion models with Caputo derivative of order . For each t…
A hybridizable discontinuous Galerkin method for fractional diffusion problems
Bernardo Cockburn, Kassem Mustapha
We study the use of the hybridizable discontinuous Galerkin (HDG) method for numerically solving fractional diffusion equations of order with . For exact time-marching…
Time-stepping discontinuous Galerkin methods for fractional diffusion problems
Kassem Mustapha
Time-stepping -versions discontinuous Galerkin (DG) methods for the numerical solution of fractional subdiffusion problems of order with will be proposed and anal…
A discontinuous Petrov-Galerkin method for time-fractional diffusion equations
Kassem Mustapha, Basheer Abdallah, Khaled Furati
We propose and analyze a time-stepping discontinuous Petrov-Galerkin method combined with the continuous conforming finite element method in space for the numerical solution of tim…
Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
William McLean, Kassem Mustapha
We apply the piecewise constant, discontinuous Galerkin method to discretize a fractional diffusion equation with respect to time. Using Laplace transform techniques, we show that…