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math.NA2020
Analysis of radial complex scaling methods: scalar resonance problems
Martin Halla
We consider radial complex scaling/perfectly matched layer methods for scalar resonance problems in homogeneous exterior domains. We introduce a new abstract framework to analyze t…
math.AP2020
On the well-posedness of the damped time-harmonic Galbrun equation and the equations of stellar oscillations
Martin Halla, Thorsten Hohage
We study the time-harmonic Galbrun equation describing the propagation of sound in the presence of a steady background flow. With additional rotational and gravitational terms thes…