A finite element code for the simulation of one-dimensional Vlasov plasmas. I: Theory
type: Item
instance of: scholarly article
title: A finite element code for the simulation of one-dimensional Vlasov plasmas. I: Theory
zbMATH Open document ID: 0658.76111
DOI: 10.1016/0021-9991(88)90010-1
author: S. I. Zaki
author: L. R. T. Gardner
author: Thomas James Morrow Boyd
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: The Galerkin method is used to obtain a finite element solution to the Vlasov-Poisson equations over the two-dimensional (x,v) phase plane using bilinear element shape functions. A set of linear equations for updated values of the distribution function is obtained in which time-dependent and time-independent coefficients are separated to reduce the computation involved. The noise levels are low and the energy conservation good. The finite element approach offers certain advantages over alternative methods in applications to problems in plasma physics. In particular, the flexibility in using elements of different size allows problems in which regions of the plasma are characterized by often widely different scale lengths to be treated efficiently.
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 4076899
zbMATH Keywords: Galerkin method
zbMATH Keywords: finite element solution
zbMATH Keywords: Vlasov-Poisson equations
zbMATH Keywords: bilinear element shape functions
zbMATH Keywords: noise levels
zbMATH Keywords: energy conservation
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90010-1
OpenAlex ID: W2033506456
cites work: Q4074415
cites work: Q3316515
cites work: Q3208026
description: scientific article; zbMATH DE number 4076899