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math.AP2026
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…
math.AP2026
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,…