A1 Journal article (refereed)
(2+1)-dimensional discrete exterior discretization of a general wave model in Minkowski spacetime (2025)
Mönkölä, S., Räbinä, J., Saksa, T., & Rossi, T. (2025). (2+1)-dimensional discrete exterior discretization of a general wave model in Minkowski spacetime. Results in Applied Mathematics, 25, Article 100528. https://doi.org/10.1016/j.rinam.2024.100528
JYU authors or editors
Publication details
All authors or editors: Mönkölä, Sanna; Räbinä, Jukka; Saksa, Tytti; Rossi, Tuomo
Journal or series: Results in Applied Mathematics
ISSN: 2590-0382
eISSN: 2590-0374
Publication year: 2025
Publication date: 16/12/2024
Volume: 25
Article number: 100528
Publisher: Elsevier
Publication country: Netherlands
Publication language: English
DOI: https://doi.org/10.1016/j.rinam.2024.100528
Publication open access: Openly available
Publication channel open access: Open Access channel
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/99053
Abstract
We present a differential geometry-based model for linear wave equations in -dimensional spacetime. This model encompasses acoustic, elastic, and electromagnetic waves and is also applicable in quantum mechanical simulations. For discretization, we introduce a spacetime extension of discrete exterior calculus, resulting in a leapfrog-style time evolution. The scheme further supports numerical simulations of moving and deforming domains. The numerical tests presented in this paper demonstrate the method’s stability limits and computational efficiency.
Keywords: discrete mathematics; wave equations; quantum mechanics
Free keywords: discrete exterior calculus; Minkowski spacetime; general model; wave equations
Contributing organizations
Ministry reporting: Yes
VIRTA submission year: 2025