6 papers · 1 filter
Robust finite element discretizations for a simplified Galbrun's equation
Tilman Alemán, Martin Halla, Christoph Lehrenfeld +1
Driven by the challenging task of finding robust discretization methods for Galbrun's equation, we investigate conditions for stability and different aspects of robustness for diff…
Radial complex scaling for anisotropic scalar resonance problems
Martin Halla
The complex scaling/perfectly matched layer method is a widely spread technique to simulate wave propagation problems in open domains. The method is very popular, because its imple…
On the approximation of dispersive electromagnetic eigenvalue problems in 2D
Martin Halla
We consider time-harmonic electromagnetic wave equations in composites of a dispersive material surrounded by a classical material. In certain frequency ranges this leads to sign-c…
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…
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…
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…