Publications in Scientific Journals:
J. Melenk, S. Sauter:
"wavenumber-explicit hp-FEM analysis for Maxwell's equations with transparent boundary conditions";
Foundations of Computational Mathematics,
21
(2021),
125
- 241.
English abstract:
The time-harmonic Maxwell equations at high wavenumber $k$ are discretized by
edge elements of degree $p$ on a mesh of width $h$. For the case of a ball as
the computational domain and exact, transparent boundary conditions, we show
quasi-optimality of the Galerkin method under the $k$-explicit scale
resolution condition that a) $kh/p$ is sufficient small and b) $p/\ln k$ is
bounded from below.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s10208-020-09452-1
Created from the Publication Database of the Vienna University of Technology.