Contributions to Books:
J. Melenk, A. Rieder:
"hp-FEM for the fractional heat equation";
in: "ASC Report 12/2019",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
We consider a time dependent problem generated by a nonlocal operator in space.
Applying a discretization scheme based on hp-Finite Elements and a Caffarelli-Silvestre extension we obtain a semidiscrete semigroup. The discretization in time is carried out by using hp-Discontinuous Galerkin based timestepping. We prove exponential convergence for such a method in an abstract framework for the discretization in the original domain.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.