Numerical Methods in Poisson Geometry and their Application to Mechanics

Journal article

Oscar Cosserat, Camille Laurent-Gengoux, Vladimir Salnikov
Mathematics and Mechanics of Solids, vol. 29(5), 2024

Cite

APA Click to copy
Cosserat, O., Laurent-Gengoux, C., & Salnikov, V. (2024). Numerical Methods in Poisson Geometry and their Application to Mechanics. Mathematics and Mechanics of Solids, 29(5). https://doi.org/10.1177/10812865231217096

Chicago/Turabian Click to copy
Cosserat, Oscar, Camille Laurent-Gengoux, and Vladimir Salnikov. “Numerical Methods in Poisson Geometry and Their Application to Mechanics.” Mathematics and Mechanics of Solids 29, no. 5 (2024).

MLA Click to copy
Cosserat, Oscar, et al. “Numerical Methods in Poisson Geometry and Their Application to Mechanics.” Mathematics and Mechanics of Solids, vol. 29, no. 5, 2024, doi:10.1177/10812865231217096.

BibTeX Click to copy

@article{oscar2024a,
  title = {Numerical Methods in Poisson Geometry and their Application to Mechanics},
  year = {2024},
  issue = {5},
  journal = { Mathematics and Mechanics of Solids},
  volume = {29},
  doi = {10.1177/10812865231217096},
  author = {Cosserat, Oscar and Laurent-Gengoux, Camille and Salnikov, Vladimir}
}

Abstract

We recall the question of geometric integrators in the context of Poisson geometry, and explain their construction. These Poisson integrators are tested in some mechanical examples. Their properties are illustrated numerically and they are compared to traditional methods.