4 papers
Weighted analytic regularity for the integral fractional Laplacian in polyhedra
Markus Faustmann, Carlo Marcati, Jens Markus Melenk +1
On polytopal domains in , we prove weighted analytic regularity of solutions to the Dirichlet problem for the integral fractional Laplacian with analytic right-hand s…
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides
Jens Markus Melenk, Leszek Demkowicz, Stefan Henneking
In a time-harmonic setting, we show for heterogeneous acoustic and homogeneous electromagnetic wavesguides stability estimates with the stability constant depending linearly on the…
Wavenumber-explicit -FEM analysis for Maxwell's equations with transparent boundary conditions
Jens Markus Melenk, Stefan Sauter
The time-harmonic Maxwell equations at high wavenumber are discretized by edge elements of degree on a mesh of width . For the case of a ball and exact, transparent boun…
On commuting -version projection-based interpolation on tetrahedra
Jens Markus Melenk, Claudio Rojik
On the reference tetrahedron , we define three projection-based interpolation operators on , ,…