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Convergence of a hp-streamline diffusion scheme for Vlasov-Fokker-Planck system

Asadzadeh, M. and Sopasakis, Alexandros LU (2007) In Mathematical Models and Methods in Applied Sciences 17(8). p.1159-1182
Abstract
We analyze the hp-version of the streamline diffusion finite element method for the Vlasov–Fokker–Planck system. For this method we prove the stability estimates and derive sharp a priori error bounds in a stabilization parameter δ ~ min(h/p, h2/σ), with h denoting the mesh size of the finite element discretization in phase-space-time, p the spectral order of approximation, and σ the transport cross-section.
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author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Vlasov–Poisson–Fokker–Planck, hp-version, streamline diffusion, stability, convergence
in
Mathematical Models and Methods in Applied Sciences
volume
17
issue
8
pages
1159 - 1182
publisher
World Scientific
external identifiers
  • scopus:34547329574
ISSN
1793-6314
DOI
10.1142/S0218202507002236
language
English
LU publication?
no
id
a26d9c28-ca59-4f80-aced-df12d8719dc5 (old id 2201616)
date added to LUP
2011-12-30 18:47:37
date last changed
2017-07-30 03:52:54
@article{a26d9c28-ca59-4f80-aced-df12d8719dc5,
  abstract     = {We analyze the hp-version of the streamline diffusion finite element method for the Vlasov–Fokker–Planck system. For this method we prove the stability estimates and derive sharp a priori error bounds in a stabilization parameter δ ~ min(h/p, h2/σ), with h denoting the mesh size of the finite element discretization in phase-space-time, p the spectral order of approximation, and σ the transport cross-section.},
  author       = {Asadzadeh, M. and Sopasakis, Alexandros},
  issn         = {1793-6314},
  keyword      = {Vlasov–Poisson–Fokker–Planck,hp-version,streamline diffusion,stability,convergence},
  language     = {eng},
  number       = {8},
  pages        = {1159--1182},
  publisher    = {World Scientific},
  series       = {Mathematical Models and Methods in Applied Sciences},
  title        = {Convergence of a hp-streamline diffusion scheme for Vlasov-Fokker-Planck system},
  url          = {http://dx.doi.org/10.1142/S0218202507002236},
  volume       = {17},
  year         = {2007},
}