Journal Articles

Nannen, 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 ( reposiTUm)
Wess, 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 ( reposiTUm)
Bécache, 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 ( reposiTUm)
Nannen, 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 ( reposiTUm)
Nannen, 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 ( reposiTUm)

Conference Proceedings Contributions

Nannen, L., & Wess, M. (2024). Computing resonances of a wind instrument using a Krylov solver based on  ltered time domain solutions. In L. Gizon (Ed.), Proceedings of The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024) (pp. 298–299). Edmond. http://hdl.handle.net/20.500.12708/199088 ( reposiTUm)
Halla, M., Kachanovska, M., & Wess, M. (2024). Radial perfectly matched layers and infinite elements for the anisotropic wave equation. In L. Gizon (Ed.), Book of Abstracts: The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024) (pp. 406–407). http://hdl.handle.net/20.500.12708/199092 ( reposiTUm)
Codecasa, L., Kapidani, B., Schöberl, J., & Wess, M. (2024). Mass-lumped high-order cell methods for the time-dependent Maxwell’s equations. In L. Gizon (Ed.), Book of Abstracts: The 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2024) (pp. 353–354). http://hdl.handle.net/20.500.12708/199091 ( reposiTUm)
Codecasa, L., Kapidani, B., Schöberl, J., & Wess, M. (2023). High-order cell methods for time-dependent Maxwell equations. In ANADAY 2023 : 17th Austrian Numerical Analysis Day : Book of Abstracts (pp. 26–26). http://hdl.handle.net/20.500.12708/190880 ( reposiTUm)
Nannen, L., Tichy, K., & Wess, M. (2019). Complex Scaled Infinite Elements for Wave Equations in Heterogeneous Open Systems. In M. Kaltenbacher, J. M. Melenk, L. Nannen, & F. Toth (Eds.), Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 520–521). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. http://hdl.handle.net/20.500.12708/41762 ( reposiTUm)
Auinger, B., Hollaus, K., Leumüller, M., Nannen, L., & Wess, M. (2019). Complex Scaled Infinite Elements for Electromagnetic Problems in Open Domains. In M. Kaltenbacher, J. M. Melenk, L. Nannen, & F. Toth (Eds.), Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 518–519). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. http://hdl.handle.net/20.500.12708/41761 ( reposiTUm)
Wess, M., & Nannen, L. (2018). Exact complex scalings based on Hardy space infinite elements. In T. Arens (Ed.), Conference on Mathematics of Wave Phenomena (pp. 92–93). http://hdl.handle.net/20.500.12708/41660 ( reposiTUm)

Presentations

Wess, M. (2024, June 17). Dual Cell Methods [Presentation]. NGSolve User Meeting 2024, Wien, Austria. ( reposiTUm)
Wess, M., Codecasa, L., Kapidani, B., & Schöberl, J. (2024, April 17). Mass-Lumped High-Order Cell Methods for Time-Dependent Maxwell Equations [Conference Presentation]. 16th Annual Meeting Photonic Devices (AMPD 2024), Berlin, Germany. http://hdl.handle.net/20.500.12708/197170 ( reposiTUm)
Bécache, É., Kachanovska, M., & Wess, M. (2023, March 29). Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides [Conference Presentation]. 15th Annual Meeting Photonic Devices (AMPD) 2023, Berlin, Germany. http://hdl.handle.net/20.500.12708/191128 ( reposiTUm)
Wess, M., Schöberl, J., Kapidani, B., & Codecasa, L. (2023, July 5). High-order cell methods for time-dependent Maxwell equations [Conference Presentation]. SUPRENUM PDE 2023, Lausanne, Switzerland. http://hdl.handle.net/20.500.12708/191454 ( reposiTUm)

Reports

Nannen, L., & Wess, M. (2016). Spurious modes of the complex scaled Helmholtz Equation (ASC Report 15/2016; pp. 1–32). Institute of Analysis and Scientific Computing, TU Wien. http://hdl.handle.net/20.500.12708/29107 ( reposiTUm)

Preprints

Nannen, L., & Wess, M. (2019). Complex scaled infinite elements for exterior Helmholtz problems. arXiv. https://doi.org/10.48550/arXiv.1907.09746 ( reposiTUm)

Theses

Wess, M. (2020). Frequency-dependent complex-scaled infinite elements for exterior Helmholtz resonance problems [Dissertation, Technische Universität Wien]. reposiTUm. 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]. reposiTUm. https://doi.org/10.34726/hss.2014.25335 ( reposiTUm)