5 papers
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…
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…
Electromagnetic Stekloff eigenvalues: approximation analysis
Martin Halla
We continue the work of [Camano, Lackner, Monk, SIAM J. Math. Anal., Vol. 49, No. 6, pp. 4376-4401 (2017)] on electromagnetic Stekloff eigenvalues. The authors recognized that in g…
Electromagnetic Stekloff eigenvalues: existence and behavior in the selfadjoint case
Martin Halla
In [Camano, Lackner, Monk, SIAM J. Math. Anal., Vol. 49, No. 6, pp. 4376-4401 (2017)] it was suggested to use Stekloff eigenvalues for Maxwell equations as target signature for non…
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility
Martin Halla
We consider Galerkin approximations of holomorphic Fredholm operator eigenvalue problems for which the operator values don't have the structure "coercive+compact". In this case the…