Publications in Scientific Journals:
J. Melenk, A. Rieder:
"Runge-Kutta convolution quadrature and FEM-BEM coupling for the time-dependent linear Schrödinger equation";
Journal of Integral Equations and Applications,
29
(2017),
189
- 250.
English abstract:
We propose a numerical scheme to solve the time-dependent linear Schr"odinger equation. The discretization is carried out by combining a Runge-Kutta time stepping scheme with a finite element discretization in space. Since the Schr"odinger equation is posed on the whole space Rd, we combine the interior finite element discretization with a convolution quadrature based boundary element discretization. In this paper, we analyze the resulting fully discrete scheme in terms of stability and convergence rate. Numerical experiments confirm the theoretical findings.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1216/JIE-2017-29-1-189
Created from the Publication Database of the Vienna University of Technology.