An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation
type: Item
instance of: scholarly article
title: An adaptable discontinuous Galerkin scheme for the Wigner-Fokker-Planck equation
zbMATH Open document ID: 1185.65180
author: Maria Pia Gualdani
author: Richard Sharp
author: Irene M. Gamba
published in: Communications in Mathematical Sciences
publication date: 2010-01-13T00:00:00Z
review text: The authors propose a discontinuous Galerkin (DG) scheme for the Wigner-Fokker-Planck (WFP) equation with a general potential. Estimates showing convergence and stability of the scheme are provided. The scheme is adaptive and may use both polynomial and non-polynomial basis functions. The DG approach proposed in this paper provides several opportunities to optimize the approximation space.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35Q84
Mathematics Subject Classification ID: 82C31
zbMATH DE Number: 5657332
zbMATH Keywords: Wigner-Fokker-Planck equation
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: Quantum Fokker-Planck operator
zbMATH Keywords: pseudo-differential operator
zbMATH Keywords: adaptive method
zbMATH Keywords: convergence
zbMATH Keywords: stability
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
full work available at URL: cms.2009.v7.n3.a7
OpenAlex ID: W1978569830
DOI: 10.4310/CMS.2009.V7.N3.A7
description: scientific article; zbMATH DE number 5657332