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 editorsMönkölä, Sanna; Räbinä, Jukka; Saksa, Tytti; Rossi, Tuomo

Journal or seriesResults in Applied Mathematics

ISSN2590-0382

eISSN2590-0374

Publication year2025

Publication date16/12/2024

Volume25

Article number100528

PublisherElsevier

Publication countryNetherlands

Publication languageEnglish

DOIhttps://doi.org/10.1016/j.rinam.2024.100528

Publication open accessOpenly available

Publication channel open accessOpen 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.


Keywordsdiscrete mathematicswave equationsquantum mechanics

Free keywordsdiscrete exterior calculus; Minkowski spacetime; general model; wave equations


Contributing organizations


Ministry reportingYes

VIRTA submission year2025


Last updated on 2025-25-01 at 20:06