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:	Nattapol Ploymaklam, Pratik M. Kumbhar, Amiya K. Pani
Format:	Journal
Published:	2018
Subjects:	Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85025078954&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47018
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-47018
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spelling	th-cmuir.6653943832-470182018-04-25T07:32:35Z A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system Nattapol Ploymaklam Pratik M. Kumbhar Amiya K. Pani Agricultural and Biological Sciences © 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. 2018-04-25T07:09:34Z 2018-04-25T07:09:34Z 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/6653943832/47018
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Agricultural and Biological Sciences
spellingShingle	Agricultural and Biological Sciences Nattapol Ploymaklam Pratik M. Kumbhar Amiya K. Pani A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system
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	Nattapol Ploymaklam Pratik M. Kumbhar Amiya K. Pani
author_facet	Nattapol Ploymaklam Pratik M. Kumbhar Amiya K. Pani
author_sort	Nattapol Ploymaklam
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	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85025078954&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47018
_version_	1681422982677790720

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

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