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On convergence of a...
On convergence of a h-p Streamline Diffusion and Discontinuous Galerkin Methods for the Vlasov-Poisson-Fokker-Planck System
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- Asadzadeh, Mohammad, 1952 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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(creator_code:org_t)
- 2009
- 2009
- Engelska.
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Ingår i: 26th International Symposium on Rarefied Gas Dynamics, RGD26; Kyoto; Japan; 20 July 2008 through 25 July 2008. - 0094-243X .- 1551-7616. ; 1084, s. 99-104
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Abstract
Ämnesord
Stäng
- In this paper we investigate the basic ingredients for global superconvergence strategy of streamline diffusion (SD) and discontinuous Galerkin (DG) finite element approximations in $H^{1}$ and $W^{1,\infty}$-norms (see \cite{Adams:75}) for the solution of the Vlasov--Poisson--Fokker--Planck system. This study is an extension of the results in \cite{Asadzadeh:90}-\cite{Asadzadeh.Sopasakis:2007}, to finite element schemes including discretizations of the Poisson term, where we also introduce results of an extension of the $h$-versions of SD and DG to the corresponding $hp$-versions. Optimal convergence results presented in the paper relay on the estimates for the regularized Green's functions with memory terms where some interpolation postprocessing techniques play important roles, see \cite{Baouendi.Grisvard:86}.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Vlasov-Poisson-Fokker-Planck system
- streamline diffusion method
- discontinuous Galerkin method.
- Vlasov-Poisson-Fokker-Planck system
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)
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