Contributions to Books:
J. Melenk, A. Rieder:
"Runge-Kutta convolution quadrature and FEM-BEM coupling for the time dependent linear Schrödinger equation";
in: "ASC Report 13/2016",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
We propose a numerical scheme to solve the time dependent linear Schrödinger equation. The discretization is carried out by combining a Runge-Kutta time-stepping scheme with a ﬁnite element iscretization in space. Since the Schršodinger 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.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.