40 citations · 75 across the 18 of their papers we have counts for
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Wavenumber-explicit -FEM analysis of Maxwell's equations with impedance boundary conditions in piecewise smooth media
Jens Markus Melenk, David Wörgötter
We consider the time-harmonic Maxwell equations with impedance boundary conditions on a bounded Lipschitz domain with analytic boundary . We suppose that consists of mul…
Wavenumber-explicit analytic regularity of the heterogeneous Maxwell equations with impedance boundary conditions
Jens Markus Melenk, David Wörgötter
We consider the time-harmonic Maxwell equations at a nonzero wavenumber on a bounded and simply connected Lipschitz domain with an analytic boundary , on wh…
Length-explicit stability analysis of Helmholtz problems in leaky circular waveguides
Leszek Demkowicz, Martin Halla, Jens Markus Melenk
Motivated by the study and simulation of long, coiled optical fibers we consider in this article a simplified model that is prevalent in the engineering community. Mathematically,…
Exponential Convergence of -FEM for the Integral Fractional Laplacian on cuboids
Björn Bahr, Markus Faustmann, Carlo Marcati +2
For the Dirichlet integral fractional Laplacian, we prove root exponential convergence of tensor-product -finite element approximations on , for forcing that is an…