Preprints

  1. L. Nannen, M. Wess, A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions, 2024, [arXiv] [pdf]
  2. M. Halla, M. Kachanovska, M. Wess, Radial perfectly matched layers and infinite elements for the anisotropic wave equation,  2024, [arXiv] [pdf]
  3. M. Wess, B. Kapidani, L. Codecasa, J. Schöberl, Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves,  2023, [arXiv] [pdf]

Journal Publications (peer reviewed)

  1. É. Bécache, M. Kachanovska, M. Wess, Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides, SAIM: Math. Modell. Numer. Anal., jul, 2023, [doi], [www], [pdf]
  2. L. Nannen, M. Wess, Complex-scaled infinite elements for resonance problems in heterogeneous open systems, Advances in Computational Mathematics, vol. 48, dec, 2021, [doi], [www], [pdf]
  3. L. Nannen, M. Wess, Computing scattering resonances using perfectly matched layers with frequency dependent scaling functions, BIT. Numerical mathematics, vol. 58, pp. 373-395, 2018 [doi], [www], [pdf]

Conference proceedings (peer reviewed)

  1. É. Bécache, M. Kachanovska, M. Wess, Stability and convergence of time-domain perfectly matched layers in dispersive waveguides, 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Palaiseau, France, July 2022, [ResearchGate]
  2. B. Auinger, K. Hollaus, M. Leumüller, L. Nannen, M. Wess, Complex Scaled Infinite Elements for Electromagnetic Problems in Open Domains, 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vienna, Austria, Aug 2019, [doi], [reposiTUm]
  3. L. Nannen, K. Tichy, M. Wess, Complex Scaled Infinite Elements for Wave Equations in Heterogeneous Open Systems, 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vienna, Austria, Aug 2019, [doi], [pdf], [reposiTUm]
  4. L. Nannen, M. Wess, Discrete resonances of the complex scaled Helmholtz equation, 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis, USA, June 2017, [pdf]

Theses

  1. M. Wess, Frequency-dependent complex-scaled infinite elements for exterior Helmholtz resonance problems, PhD Thesis TU Wien, 2020, [reposiTUm] [pdf] [doi]
  2. M. Wess, A characterization of univalent functions on the complex unit disc by indefinite inner product spaces, Masters Thesis TU Wien, 2014, [reposiTUm] [pdf] [doi]

Talks

upcoming

  1. Mass-lumped high-order cell methods for the time-dependent Maxwell's equations, 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Berlin, Germany, July 2024
  2. Mass-lumped high-order cell methods for time-dependent Maxwell equations, 16th Annual Meeting Photonic Devices (AMPD), Berlin, Germany, April 2024

past

  1. High-order cell methods for time-dependent Maxwell equations, SUPRENUM PDE, Lausanne, Switzerland, 2023
  2. High-order cell methods for time-dependent Maxwell equations, ANADAY 2023 : 17th Austrian Numerical Analysis Day, Vienna, Austria, 2023
  3. Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides, 15th Annual Meeting Photonic Devices (AMPD), Berlin, Germany, 2023
  4. Stability and convergence of time-domain perfectly matched layers in dispersive waveguides, 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Palaiseau, France, July 2022, [conference paper]
  5. Time-domain analysis of perfectly matched layers for waveguides in dispersive media, WAVES, Karlsruhe, Germany, 2022
  6. Complex-Scaled Infinite Elements for Resonance Problems in Open Systems, ICOSAHOM 2020, Vienna, Austria 2021
  7. Infinite elements for exterior Helmholtz resonance problems based on a frequency dependent complex scaling, ESCO 2020, Pilsen, Czech Republic, June 2020, [abstract]
  8. Complex Scaled Infinite Elements for Wave Equations in Heterogeneous Open Systems, 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Vienna, Austria, August 2019, [conference paper]
  9. Infinite elements for exterior Helmholtz resonance problems based on a frequency dependent complex scaling, MAFELAP 2019, London, UK, June 2019, [abstract]
  10. Infinite elements for exterior Helmholtz resonance problems based on a frequency dependent complex scaling, 90th GAMM Annual Meeting, Vienna, Austria, February 2019, [abstract]
  11. Exact complex scalings based on Hardy space infinite elements, Conference on Mathematics of Wave Phenomena, Karlsruhe, Germany, July 2018, [abstract]
  12. Frequency dependent complex scaling for exterior Helmholtz resonance Problems, Austrian Numerical Analysis Day, Klagenfurt, Austria May 2018, [abstract]
  13. Discrete resonances of the complex scaled Helmholtz equation, 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Minneapolis, USA, June 2017, [conference paper]
  14. Perfectly matched layers in NGSolve, NGSolve User Meeting, Vienna, Austria, June 2017
  15. Solving resonance problems on unbounded domains using finite elements and complex scaling, Vienna Young Scientists Symposium, Vienna, Austria, June 2017, [abstract]
  16. A frequency dependent complex scaling for Helmholtz resonance Problems, Austrian Numerical Analysis Day, Innsbruck, Austria, May 2016, [abstract]