Abstract

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.

Full document

The PDF file did not load properly or your web browser does not support viewing PDF files. Download directly to your device: Download PDF document
Back to Top
GET PDF

Document information

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

Document Score

0

Views 10
Recommendations 0

Share this document

claim authorship

Are you one of the authors of this document?