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- W2945522450 endingPage "108914" @default.
- W2945522450 startingPage "108914" @default.
- W2945522450 abstract "In this paper, we study the multiscale Boltzmann equation with multi-dimensional random parameters by a bi-fidelity stochastic collocation (SC) method developed in [52], [70], [71]. By choosing the compressible Euler system as the low-fidelity model, we adapt the bi-fidelity SC method to combine computational efficiency of the low-fidelity model with high accuracy of the high-fidelity (Boltzmann) model. With only a small number of high-fidelity asymptotic-preserving solver runs for the Boltzmann equation, the bi-fidelity approximation can capture well the macroscopic quantities of the solution to the Boltzmann equation in the random space. A priori estimate on the accuracy between the high- and bi-fidelity solutions together with a convergence analysis is established. Finally, we present extensive numerical experiments to verify the efficiency and accuracy of our proposed method." @default.
- W2945522450 created "2019-05-29" @default.
- W2945522450 creator A5004075655 @default.
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- W2945522450 date "2020-02-01" @default.
- W2945522450 modified "2023-09-30" @default.
- W2945522450 title "A bi-fidelity method for the multiscale Boltzmann equation with random parameters" @default.
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- W2945522450 doi "https://doi.org/10.1016/j.jcp.2019.108914" @default.
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