In this paper, we introduce a bi-fidelity stochastic collocation (SC) method for the linear transport equation with diffusive scaling and high-dimensional random inputs characterized by random variables. For the high-fidelity linear transport model, the asymptotic-preserving Discontinuous Galerkin implicit-explicit method in the micro-macro decomposition framework is used. We discuss different choices of low-fidelity models and conduct the corresponding uniform error estimates for the bi-fidelity method. Extensive numerical tests are presented to validate our bi-fidelity SC method.

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Published on 10/03/21
Submitted on 10/03/21

Volume 100 - Fracture, Damage and Failure Mechanics, 2021
DOI: 10.23967/wccm-eccomas.2020.002
Licence: CC BY-NC-SA license

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