(2+1)-dimensional discrete exterior discretization of a general wave model in Minkowski spacetime
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.
Main Authors
Format
Articles
Research article
Published
2025
Series
Subjects
Publication in research information system
Publisher
Elsevier
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202412187866Use this for linking
Review status
Peer reviewed
ISSN
2590-0382
DOI
https://doi.org/10.1016/j.rinam.2024.100528
Language
English
Published in
Results in Applied Mathematics
Citation
- 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
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Additional information about funding
This project was partially funded by the Research Council of Finland (grants 259925 and 260076).
Copyright© 2024 The Author(s). Published by Elsevier B.V.