Convergence of a hp-streamline diffusion scheme for Vlasov-Fokker-Planck system
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2201616
- author
- Asadzadeh, M. and Sopasakis, Alexandros LU
- publishing date
- 2007
- 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}}, }