Publikationen
Journalpublikationen (peer reviewed)
- | Radial Perfectly Matched Layers and Infinite Elements for the Anisotropic Wave Equation auf reposiTUm , öffnet eine externe URL in einem neuen FensterHalla, M., Kachanovska, M., & Wess, M. (2025). Radial Perfectly Matched Layers and Infinite Elements for the Anisotropic Wave Equation. SIAM Journal on Mathematical Analysis, 57(3), 3171–3216. https://doi.org/10.1137/24M1636551
- | A Krylov eigenvalue solver based on filtered time domain solutions auf reposiTUm , öffnet eine externe URL in einem neuen FensterNannen, L., & Wess, M. (2024). A Krylov eigenvalue solver based on filtered time domain solutions. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 176, 179–188. https://doi.org/10.1016/j.camwa.2024.10.006
- | Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves auf reposiTUm , öffnet eine externe URL in einem neuen FensterWess, M., Kapidani, B., Codecasa, L., & Schöberl, J. (2024). Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves. Journal of Computational Physics, 513, Article 113196. https://doi.org/10.1016/j.jcp.2024.113196
- | Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides auf reposiTUm , öffnet eine externe URL in einem neuen FensterBécache, É., Kachanovska, M., & Wess, M. (2023). Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides. ESAIM: Mathematical Modelling and Numerical Analysis, 57(4), 2451–2491. https://doi.org/10.1051/m2an/2023060
- | Complex-scaled infinite elements for resonance problems in heterogeneous open systems auf reposiTUm , öffnet eine externe URL in einem neuen FensterNannen, L., & Wess, M. (2022). Complex-scaled infinite elements for resonance problems in heterogeneous open systems. Advances in Computational Mathematics, 48(2), Article 8. https://doi.org/10.1007/s10444-021-09923-1
- | Computing scattering resonances using perfectly matched layers with frequency dependent scaling functions auf reposiTUm , öffnet eine externe URL in einem neuen FensterNannen, L., & Wess, M. (2018). Computing scattering resonances using perfectly matched layers with frequency dependent scaling functions. BIT Numerical Mathematics, 58(2), 373–395. https://doi.org/10.1007/s10543-018-0694-0
Konferenzbeiträge (peer reviewed)
- 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] - 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]
- 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]
- 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]
- 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]
- 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]
- 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]
Abschlussarbeiten
- Wess, M. (2020). Frequency-dependent complex-scaled infinite elements for exterior Helmholtz resonance problems [Dissertation, Technische Universität Wien]. https://doi.org/10.34726/hss.2020.78903 ( reposiTUm)
- Wess, M. (2014). A characterization of univalent functions on the complex unit disc by indefinite inner product spaces [Diploma Thesis, Technische Universität Wien]. https://doi.org/10.34726/hss.2014.25335 ( reposiTUm)
Andere Publikationen
- M. Wess, L. Nannen, Time domain methods for resonance problems, Jupyter-Book online, https://markuswess.github.io/td_evp
- M. Wess, J. Schöberl, The Dual Cell Method in NGSolve, Jupyter-Book online, https://ngsolve.github.io/dcm
- M. Wess, Implementation of frequency-dependent complex-scaled infinite elements, Jupyter-Book online, https://markuswess.github.io/complex_scaled_infinite_elements
Vorträge
vergangen:
- Mathematik hören — Musik berechnen, TU4Math, Wien, 2025
- A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions, 19th Austrian Numerical Analysis Day, Salzburg, 2025
- 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, 2024
- Dual Cell methods in NGSolve, 5th NGSolve User Meeting, Vienna, Austria, 2024
- Mass-lumped high-order cell methods for time-dependent Maxwell equations, 16th Annual Meeting Photonic Devices (AMPD), Berlin, Germany, 2024
- High-order cell methods for time-dependent Maxwell equations, SUPRENUM PDE, Lausanne, Switzerland, 2023
- High-order cell methods for time-dependent Maxwell equations, ANADAY 2023 : 17th Austrian Numerical Analysis Day, Vienna, Austria, 2023
- Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides, 15th Annual Meeting Photonic Devices (AMPD), Berlin, Germany, 2023
- 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]
- Time-domain analysis of perfectly matched layers for waveguides in dispersive media, WAVES, Karlsruhe, Germany, 2022
- Complex-Scaled Infinite Elements for Resonance Problems in Open Systems, ICOSAHOM 2020, Vienna, Austria 2021
- Infinite elements for exterior Helmholtz resonance problems based on a frequency dependent complex scaling, ESCO 2020, Pilsen, Czech Republic, June 2020, [abstract]
- 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]
- Infinite elements for exterior Helmholtz resonance problems based on a frequency dependent complex scaling, MAFELAP 2019, London, UK, June 2019, [abstract]
- Infinite elements for exterior Helmholtz resonance problems based on a frequency dependent complex scaling, 90th GAMM Annual Meeting, Vienna, Austria, February 2019, [abstract]
- Exact complex scalings based on Hardy space infinite elements, Conference on Mathematics of Wave Phenomena, Karlsruhe, Germany, July 2018, [abstract]
- Frequency dependent complex scaling for exterior Helmholtz resonance Problems, Austrian Numerical Analysis Day, Klagenfurt, Austria May 2018
- 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]
- Perfectly matched layers in NGSolve, NGSolve User Meeting, Vienna, Austria, June 2017
- Solving resonance problems on unbounded domains using finite elements and complex scaling, Vienna Young Scientists Symposium, Vienna, Austria, June 2017, [abstract]
- A frequency dependent complex scaling for Helmholtz resonance Problems, Austrian Numerical Analysis Day, Innsbruck, Austria, May 2016, [abstract]