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, Wien, 2019, ISBN: 978-3-902627-12-4, 1 - 39.

English abstract:
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.