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A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving.
- Source :
-
Computers & Mathematics with Applications . Jan2023, Vol. 130, p137-148. 12p. - Publication Year :
- 2023
-
Abstract
- In this paper, we introduce a new strategy for solving highly oscillatory two-dimensional Vlasov-Poisson systems by means of a specific version of the parareal algorithm. The novelty consists in using reduced models, obtained from the two-scale convergence theory, for the coarse solving. The reduced models are useful to approximate the original Vlasov-Poisson model at a low computational cost since they are free of high oscillations. Both models are numerically solved in a particle-in-cell framework. We illustrate this strategy with numerical experiments based on long time simulations of a charged beam in a focusing channel and under the influence of a rapidly oscillating external electric field. On the basis of computing times, we provide an analysis of the efficiency of the parareal algorithm in terms of speedup. [ABSTRACT FROM AUTHOR]
- Subjects :
- *OSCILLATIONS
*ALGORITHMS
*ELECTRIC fields
*MULTISCALE modeling
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 130
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 161060498
- Full Text :
- https://doi.org/10.1016/j.camwa.2022.12.004