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:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85025078954&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57552
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-57552
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spelling	th-cmuir.6653943832-575522018-09-05T03:45:32Z A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system Nattapol Ploymaklam Pratik M. Kumbhar Amiya K. Pani Mathematics © 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(hk+1), when polynomials of degree k ≥ 1 are used for approximating solutions are established. Finally, numerical experiments are conducted to confirm our theoretical results. 2018-09-05T03:45:32Z 2018-09-05T03:45:32Z 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/6653943832/57552
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics 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(hk+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/6653943832/57552
_version_	1681424900008443904

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

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