Publications in Scientific Journals:

J. Melenk, A. Rieder:
"hp-FEM for the fractional heat equation";
IMA J. Numer. Anal., 41 (2021), 412 - 454.

English abstract:
We consider a time-dependent problem generated by a nonlocal operator in space.
Applying for the spatial discretization a 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 time stepping.
We prove exponential convergence for such a method in an abstract framework for the discretization in the spatial domain $\Omega$.

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Created from the Publication Database of the Vienna University of Technology.