NDLI: The Convergence Theory of Particle-In-Cell Methods for Multidimensional VlasovPoisson Systems

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Victory, Jr., H. D. Allen, Edward J.
Copyright Year	1991
Abstract	In this work, a convergence theory of particle-in-cell methods for multidimensional VlasovPoisson systems is provided. Such methods replace the continuous distribution of masses or charges by discrete particles in phase (spatial and momentum) space with appropriate weights. Additionally, Poissons equation is solved using a mollified mass or charge density at each timestep. This procedure is equivalent to using a mollified Poisson kernel convolved with the density to obtain the approximate field quantities. In the analysis here, Poissons equation is solved by a finite element method which can be seen to require less operations to compute the field quantities than required by the usual convolution formula.
Starting Page	1207
Ending Page	1241
Page Count	35
File Format	PDF
ISSN	00361429
DOI	10.1137/0728065
e-ISSN	10957170
Issue Number	5
Volume Number	28
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-31
Access Restriction	Subscribed
Subject Keyword	VlasovPoisson systems Method of characteristics particle-in-cell methods Error bounds Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods simulation methods
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Numerical Analysis Computational Mathematics

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