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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
and
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 Publishing
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
2016-04-01 12:32:30
date last changed
2022-03-21 05:43:47
@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}},
  keywords     = {{Vlasov–Poisson–Fokker–Planck; hp-version; streamline diffusion; stability; convergence}},
  language     = {{eng}},
  number       = {{8}},
  pages        = {{1159--1182}},
  publisher    = {{World Scientific Publishing}},
  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}},
  doi          = {{10.1142/S0218202507002236}},
  volume       = {{17}},
  year         = {{2007}},
}