A fast iterative method for computing particle beams penetrating matter
type: Item
instance of: scholarly article
title: A fast iterative method for computing particle beams penetrating matter
zbMATH Open document ID: 0884.65131
author: C. Börgers
published in: Journal of Computational Physics
publication date: 1998-03-12T00:00:00Z
review text: The author considers mono-energetic linear particle transport in 2D (approximating the Boltzmann equation by the Fokker-Planck equation, and this, in turn, by the Fermi equation). For the numerical solution, a domain decomposition approach with respect to the angular variable is proposed. For a similar method applied to the heat conduction equation, a convergence result is proved. Numerical experiments for the Fokker-Planck and the linear Boltzmann equation are performed as well and show that fast convergence (independently of the grid) takes place as long as a physical parameter, the nondimensionalized angular diffusion coefficient, is of moderate size.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 82C70
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 1036510
zbMATH Keywords: particle beams
zbMATH Keywords: Fokker-Planck equation
zbMATH Keywords: domain decomposition method
zbMATH Keywords: linear particle transport
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: Fermi equation
zbMATH Keywords: heat conduction equation
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiment
reviewed by: Gisbert Stoyan
describes a project that uses: SRIM
MaRDI profile type: Publication
full work available at URL: jcph.1997.5671
OpenAlex ID: W2140334192
cites work: Resolvent Estimates for Elliptic Finite Element Operators in One Dimension
cites work: Q4194608
cites work: Partial differential equations. 4th ed
cites work: Q4288417
cites work: THE FOKKER-PLANCK OPERATOR AS AN ASYMPTOTIC LIMIT
DOI: 10.1006/JCPH.1997.5671
description: scientific article; zbMATH DE number 1036510