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]

Journal Publications (peer reviewed)

  1. M. Wess, B. Kapidani, L. Codecasa, J. Schöberl, Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves,  Journal of Computational Physics, vol. 513, 2024, [doi], [www], [pdf]
  2. 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]
  3. 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]
  4. 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. L. Nannen, M. Wess, Computing resonances of a wind instrument using a Krylov solver based on ltered
    time domain solutions
    , The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024), [doi], [ResearchGate], [pdf]
  2. L. Codecasa, B. Kapidani, J. Schöberl, M. Wess, Mass-lumped high-order cell methods for the time-dependent Maxwell's equations, The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024), [doi], [ResearchGate], [pdf]
  3. M. Halla, M. Kachaovska, M. Wess, Radial perfectly matched layers and infinite elements for the anisotropic wave equation, The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024), [doi], [ResearchGate], [pdf]
  4. 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]
  5. 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]
  6. 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]
  7. 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]

Other Publications

  1. M. Wess, L. Nannen, Time domain methods for resonance problems, Jupyter-Book online, https://markuswess.github.io/td_evp
  2. M. Wess, J. Schöberl, The Dual Cell Method in NGSolve, Jupyter-Book online, https://ngsolve.github.io/dcm

Talks

past

  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. Dual Cell methods in NGSolve, 5th NGSolve User Meeting, Vienna, Austria, 2024
  3. Mass-lumped high-order cell methods for time-dependent Maxwell equations, 16th Annual Meeting Photonic Devices (AMPD), Berlin, Germany, April 2024
  4. High-order cell methods for time-dependent Maxwell equations, SUPRENUM PDE, Lausanne, Switzerland, 2023
  5. High-order cell methods for time-dependent Maxwell equations, ANADAY 2023 : 17th Austrian Numerical Analysis Day, Vienna, Austria, 2023
  6. Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides, 15th Annual Meeting Photonic Devices (AMPD), Berlin, Germany, 2023
  7. 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]
  8. Time-domain analysis of perfectly matched layers for waveguides in dispersive media, WAVES, Karlsruhe, Germany, 2022
  9. Complex-Scaled Infinite Elements for Resonance Problems in Open Systems, ICOSAHOM 2020, Vienna, Austria 2021
  10. Infinite elements for exterior Helmholtz resonance problems based on a frequency dependent complex scaling, ESCO 2020, Pilsen, Czech Republic, June 2020, [abstract]
  11. 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]
  12. Infinite elements for exterior Helmholtz resonance problems based on a frequency dependent complex scaling, MAFELAP 2019, London, UK, June 2019, [abstract]
  13. Infinite elements for exterior Helmholtz resonance problems based on a frequency dependent complex scaling, 90th GAMM Annual Meeting, Vienna, Austria, February 2019, [abstract]
  14. Exact complex scalings based on Hardy space infinite elements, Conference on Mathematics of Wave Phenomena, Karlsruhe, Germany, July 2018, [abstract]
  15. Frequency dependent complex scaling for exterior Helmholtz resonance Problems, Austrian Numerical Analysis Day, Klagenfurt, Austria May 2018, [abstract]
  16. 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]
  17. Perfectly matched layers in NGSolve, NGSolve User Meeting, Vienna, Austria, June 2017
  18. Solving resonance problems on unbounded domains using finite elements and complex scaling, Vienna Young Scientists Symposium, Vienna, Austria, June 2017, [abstract]
  19. A frequency dependent complex scaling for Helmholtz resonance Problems, Austrian Numerical Analysis Day, Innsbruck, Austria, May 2016, [abstract]