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research article
Perfectly matched layers for the Boltzmann equation: Stability and sensitivity analysis
July 15, 2024
We study the stability and sensitivity of an absorbing layer for the Boltzmann equation by examining the Bhatnagar-Gross-Krook (BGK) approximation and using the perfectly matched layer (PML) technique. To ensure stability, we discard some parameters in the model and calculate the total sensitivity indices of the remaining parameters using the ANOVA expansion of multivariate functions. We conduct extensive numerical experiments on two test cases to study stability and compute the total sensitivity indices, which allow us to identify the essential parameters of the model.
Type
research article
Web of Science ID
WOS:001236866900001
Authors
Publication date
2024-07-15
Publisher
Published in
Volume
509
Article Number
113047
Peer reviewed
REVIEWED
EPFL units
Funder | Grant Number |
National Center for Theoretical Sciences in Taiwan (R.O.C.) | |
Available on Infoscience
June 19, 2024
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