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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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 |
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© 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 |