Convergence of a hp-streamline diffusion scheme for Vlasov-Fokker-Planck system
Författare
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.
Publiceringsår
2007
Språk
Engelska
Sidor
1159-1182
Publikation/Tidskrift/Serie
Mathematical Models and Methods in Applied Sciences
Volym
17
Issue
8
Dokumenttyp
Artikel i tidskrift
Förlag
World Scientific Publishing
Ämne
- Mathematics
Nyckelord
- Vlasov–Poisson–Fokker–Planck
- hp-version
- streamline diffusion
- stability
- convergence
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1793-6314