Contributions to Books:

J. Melenk, S. Sauter:
"Wavenumber-explicit hp-FEM analysis for Maxwell's equations with transparent boundary conditions";
in: "ASC Report 9/2018", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2018, 1 - 79.

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 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 suï¬fcient small and b) p/ log k is suï¬fciently large.

Electronic version of the publication:

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