DG-IMEX stochastic Galerkin schemes for linear transport equation with random inputs and diffusive scalings
type: Item
instance of: scholarly article
title: DG-IMEX stochastic Galerkin schemes for linear transport equation with random inputs and diffusive scalings
zbMATH Open document ID: 1385.65011
author: Zheng Chen
author: Liu Liu
author: Lin Mu
published in: Journal of Scientific Computing
publication date: 2018-01-16T00:00:00Z
full work available at URL: https://www.osti.gov/biblio/1356966
review text: Kinetic theory connects the microscopic models with the macroscopic hydrodynamic models. The Knudsen number measures the ratio between the particle mean free path and a typical length scale. The equation becomes numerically stiff and requires expensive mesh sizes and time steps. To overcome this difficulty, it is known that asymptotic-preserving (AP) schemes can be designed to mimic the asymptotic transition from the kinetic equations to the hydrodynamic limit, in the discrete setting. For temporal and spatial discretizations, the explicit-implicit scheme under the micro-macro decomposition framework and the discontinuous Galerkin is applied. A rigorous proof of the stochastic asymptotic-preserving (SAP) is given. The accuracy and SAP of the method are examined on the numerical experiments.
reviewed by: Rózsa Horváth-Bokor
Mathematics Subject Classification ID: 65C30
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 6826585
zbMATH Keywords: kinetic transport equation
zbMATH Keywords: uncertainty quantification
zbMATH Keywords: asymptotic preserving
zbMATH Keywords: random inputs
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: IMEX
zbMATH Keywords: generalized polynomial chaos
zbMATH Keywords: numerical experiments
Wikidata QID: Q62727726
MaRDI profile type: Publication
OpenAlex ID: W2610652550
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DOI: 10.1007/S10915-017-0439-2
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description: scientific article; zbMATH DE number 6826585