| Title | Convergence of a hp-streamline diffusion scheme for Vlasov-Fokker-Planck system |
| Authors | M. Asadzadeh, Alexandros Sopasakis |
| Alternative Location | http://dx.doi.org/10.1142/S..., Restricted Access |
| Publication | Mathematical Models and Methods in Applied Sciences |
| Year | 2007 |
| Volume | 17 |
| Issue | 8 |
| Pages | 1159 - 1182 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | World Scientific Publishing |
| Abstract 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. |
| Keywords | Vlasov–Poisson–Fokker–Planck, hp-version, streamline diffusion, stability, convergence, |
| ISBN/ISSN/Other | ISSN: 1793-6314 (online) |
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