Preprints

• Finite elements for Helmholtz scattering with infinity as a computational boundary.
  M. Wess, A. Zenginoğlu.
  2026. arXiv
• A higher-order dual cell method for time-domain Maxwell equations.
  L. Codecasa, B. Kapidani, J. Schöberl, M. Wess.
  2026. arXiv

Journal Publications

• Radial perfectly matched layers and infinite elements for the anisotropic wave equation.
  M. Halla, M. Kachanovska, M. Wess.
  SIAM Journal on Mathematical Analysis, 57(3), 3171–3216, 2025. DOI
• A Krylov eigenvalue solver based on filtered time-domain solutions.
  L. Nannen, M. Wess.
  Computers & Mathematics with Applications, 176, 179–188, 2024. DOI
• Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves.
  M. Wess, B. Kapidani, L. Codecasa, J. Schöberl.
  Journal of Computational Physics, 513, 2024. DOI
• Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides.
  É. Bécache, M. Kachanovska, M. Wess.
  ESAIM: Mathematical Modelling and Numerical Analysis, 57(4), 2023. DOI
• Complex-scaled infinite elements for resonance problems in heterogeneous open systems.
  L. Nannen, M. Wess.
  Advances in Computational Mathematics, 48(2), 2022. DOI
• Computing scattering resonances using perfectly matched layers with frequency-dependent scaling functions.
  L. Nannen, M. Wess.
  BIT Numerical Mathematics, 58(2), 373–395, 2018. DOI

Conference Proceedings

• Complex scaling for the homogeneous wave equation with scaling direction non-normal to the transparent boundary. WAVES 2026.
• Finite element discretizations of hyperboloidal compactification layers for unbounded time-domain wave problems. WAVES 2026.
• Infinity as a finite boundary for Helmholtz equations. WAVES 2026.
• Computing resonances of a wind instrument using a Krylov solver based on filtered time-domain solutions. WAVES 2024.
• Mass-lumped high-order cell methods for the time-dependent Maxwell's equations. WAVES 2024.
• Radial perfectly matched layers and infinite elements for the anisotropic wave equation. WAVES 2024.
• Stability and convergence of time-domain perfectly matched layers in dispersive waveguides. WAVES 2022.
• Complex-scaled infinite elements for electromagnetic problems in open domains. WAVES 2019.
• Complex-scaled infinite elements for wave equations in heterogeneous open systems. WAVES 2019.
• Discrete resonances of the complex-scaled Helmholtz equation. WAVES 2017.

Theses

• Frequency-dependent complex-scaled infinite elements for exterior Helmholtz resonance problems.
  PhD Thesis, TU Wien, 2020.
• A characterization of univalent functions on the complex unit disc by indefinite inner product spaces.
  MSc Thesis, TU Wien, 2014.

Talks

Selected invited and conference presentations from 2016–2026, including WAVES, ICOSAHOM, ESCO, MAFELAP, GAMM, SUPRENUM, AMPD, PDESOFT