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Convergence of a stochastic collocation finite volume method for the compressible Navier-Stokes system
- 1.0580545 - MÚ 2024 RIV US eng J - Journal Article
Feireisl, Eduard - Lukáčová-Medviďová, M.
Convergence of a stochastic collocation finite volume method for the compressible Navier-Stokes system.
Annals of Applied Probability. Roč. 33, č. 6A (2023), s. 4936-4963. ISSN 1050-5164
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : finite volume method * multielement probabilistic collocation method * random compressible Navier-Stokes system
OECD category: Pure mathematics
Impact factor: 1.8, year: 2022
Method of publishing: Limited access
https://doi.org/10.1214/23-AAP1937
We propose a stochastic collocation method based on the piecewise constant interpolation on the probability space combined with a finite volume method to solve the compressible Navier-Stokes system at the nodal points. We show convergence of numerical solutions to a statistical solution of the Navier-Stokes system on condition that the numerical solutions are bounded in probability. The analysis uses the stochastic compactness method based on the Skorokhod/Jakubowski representation theorem and the criterion of convergence in probability due to Gyöngy and Krylov.
Permanent Link: https://hdl.handle.net/11104/0349306
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