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math.NA2023
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…
math.NA2023
On interpolation spaces of piecewise polynomials on mixed meshes
Michael Karkulik, Jens Markus Melenk, Alexander Rieder
We consider fractional Sobolev spaces , , on 2D domains and -conforming discretizations by globally continuous piecewise polynomials on a mesh consisting of s…