A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system

© 2017 Institute for Scientific Computing and Information. In this paper, we propose and analyze the local discontinuous Galerkin method for the viscous Burgers-Poisson system. The proposed method preserves two invariants and hence, yields solutions even for long time. A priori error estimates, whic...

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Main Authors:	Ploymaklam N., Kumbhar P., Pani A.
Format:	Journal
Published:	2017
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85025078954&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/41074
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-410742017-09-28T04:15:22Z A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system Ploymaklam N. Kumbhar P. Pani A. © 2017 Institute for Scientific Computing and Information. In this paper, we propose and analyze the local discontinuous Galerkin method for the viscous Burgers-Poisson system. The proposed method preserves two invariants and hence, yields solutions even for long time. A priori error estimates, which are of order O(h k+1 ), when polynomials of degree k ≥ 1 are used for approximating solutions are established. Finally, numerical experiments are conducted to confirm our theoretical results. 2017-09-28T04:15:22Z 2017-09-28T04:15:22Z 2017-01-01 Journal 17055105 2-s2.0-85025078954 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85025078954&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/41074
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
description	© 2017 Institute for Scientific Computing and Information. In this paper, we propose and analyze the local discontinuous Galerkin method for the viscous Burgers-Poisson system. The proposed method preserves two invariants and hence, yields solutions even for long time. A priori error estimates, which are of order O(h k+1 ), when polynomials of degree k ≥ 1 are used for approximating solutions are established. Finally, numerical experiments are conducted to confirm our theoretical results.
format	Journal
author	Ploymaklam N. Kumbhar P. Pani A.
spellingShingle	Ploymaklam N. Kumbhar P. Pani A. A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system
author_facet	Ploymaklam N. Kumbhar P. Pani A.
author_sort	Ploymaklam N.
title	A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system
title_short	A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system
title_full	A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system
title_fullStr	A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system
title_full_unstemmed	A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system
title_sort	priori error analysis of the local discontinuous galerkin method for the viscous burgers-poisson system
publishDate	2017
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85025078954&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/41074
_version_	1681421934911291392

A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system

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