Hardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs. - Martin Halla; Thorsten Hohage; Lothar Nannen; Joachim Schöberl (Numerische Mathematik, 2016)

Convergence of Hardy Space Infinite Elements for Helmholtz Scattering and Resonance Problems. - Martin Halla (SIAM J. Numer. Anal., 2016)

Two scale Hardy space infinite elements for scalar waveguide problems. - Martin Halla; Lothar Nannen (Adv. Comput. Math., 2018)

Electromagnetic Stekloff eigenvalues: approximation analysis. - Martin Halla (CoRR, 2019)

On the approximation of dispersive electromagnetic eigenvalue problems in 2D. - Martin Halla (CoRR, 2021)

Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility. - Martin Halla (Numerische Mathematik, 2021)

On the Well-posedness of the Damped Time-harmonic Galbrun Equation and the Equations of Stellar Oscillations. - Martin Halla; Thorsten Hohage (SIAM J. Math. Anal., 2021)

Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems. - Martin Halla (SIAM J. Numer. Anal., 2021)

Robust finite element discretizations for a simplified Galbrun's equation. - Tilman Alemán; Martin Halla; Christoph Lehrenfeld; Paul Stocker (CoRR, 2022)

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 (CoRR, 2022)

On the Treatment of Exterior Domains for the Time-Harmonic Equations of Stellar Oscillations. - Martin Halla (SIAM J. Math. Anal., 2022)

Radial Complex Scaling for Anisotropic Scalar Resonance Problems. - Martin Halla (SIAM J. Numer. Anal., 2022)

Convergence analysis of nonconform H(div)-finite elements for the damped time-harmonic Galbrun's equation. - Martin Halla (CoRR, 2023)

On the Existence and Stability of Modified Maxwell Steklov Eigenvalues. - Martin Halla (SIAM J. Math. Anal., 2023)

A new numerical method for scalar eigenvalue problems in heterogeneous, dispersive, sign-changing materials. - Martin Halla; Thorsten Hohage; Florian Oberender (CoRR, 2024)

Radial Perfectly Matched Layers and Infinite Elements for the Anisotropic Wave Equation. - Martin Halla; Maryna Kachanovska; Markus Wess (SIAM J. Math. Anal., 2025)

On the instabilities of naive FEM discretizations for PDEs with sign-changing coefficients. - Martin Halla; Florian Oberender (CoRR, 2025)

Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation. - Martin Halla; Christoph Lehrenfeld; Tim van Beeck (CoRR, 2025)