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

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Author

Summary, in English

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.

Publishing year

2007

Language

English

Pages

1159-1182

Publication/Series

Mathematical Models and Methods in Applied Sciences

Volume

17

Issue

8

Document type

Journal article

Publisher

World Scientific Publishing

Topic

  • Mathematics

Keywords

  • Vlasov–Poisson–Fokker–Planck
  • hp-version
  • streamline diffusion
  • stability
  • convergence

Status

Published

ISBN/ISSN/Other

  • ISSN: 1793-6314