5 papers
The Green`s function for an acoustic, half-space impedance problem Part II: Analysis of the slowly varying and the plane wave component
C. Lin, J. M. Melenk, S. Sauter
We show that the acoustic Green`s function for a half-space impedance problem in arbitrary spatial dimension d can be written as a sum of two terms, each of which is the product of…
Optimal convergence rates in for a first order system least squares finite element method -- Part II: inhomogeneous Robin boundary conditions
Maximilian Bernkopf, Jens Markus Melenk
We consider divergence-based high order discretizations of an -based first order system least squares formulation of a second order elliptic equation with Robin boundary condi…
An implementation of hp-FEM for the fractional Laplacian
Björn Bahr, Markus Faustmann, Jens Markus Melenk
We consider the discretization of the -integral Dirichlet fractional Laplacian by -finite elements. We present quadrature schemes to set up the stiffness matrix and load ve…
FEM-BEM coupling for the high-frequency Helmholtz problem
Jens Markus Melenk, Ilaria Perugia, Alexander Rieder
We present a wavenumber-explicit analysis of FEM-BEM coupling methods for time-harmonic Helmholtz problems proposed in arXiv:2004.03523 for conforming discretizations and in arXiv:…
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…