5 citations · 7 across the 13 of their papers we have counts for
14 papers
Convergence analysis of nonconform -finite elements for the damped time-harmonic Galbrun's equation
Martin Halla
We consider the damped time-harmonic Galbrun's equation, which is used to model stellar oscillations. We introduce a discontinuous Galerkin finite element method (DGFEM) with $H(\o…
On the analysis of waveguide modes in an electromagnetic transmission line
Martin Halla, Peter Monk
Modal expansions are useful to understand wave propagation in an infinite electromagnetic transmission line or waveguide. They can also be used to construct generalized Dirichlet-t…
A new T-compatibility condition and its application to the discretization of the damped time-harmonic Galbrun's equation
Martin Halla, Christoph Lehrenfeld, Paul Stocker
We consider the approximation of weakly T-coercive operators. The main property to ensure the convergence thereof is the regularity of the approximation (in the vocabulary of discr…
On the existence and stability of modified Maxwell Steklov eigenvalues
Martin Halla
In recent decades qualitative inverse scattering methods with eigenvalues as target signatures received much attention. To understand those methods a knowledge on the properties of…
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…