Convergence of two-dimensional staggered central schemes on unstructured triangular grids
In this paper, we present a convergence analysis of a two-dimensional central finite volume scheme on unstructured triangular grids for hyperbolic systems of conservation laws. More precisely, we show that the solution obtained by the numerical base scheme presents, under an appropriate CFL conditio...
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2015
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| Online Access: | http://hdl.handle.net/10725/8439 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0168927415000136 |
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| _version_ | 1864513484937494528 |
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| author | Touma, R. |
| author2 | Jannoun, G. Brock, F. |
| author2_role | author author |
| author_facet | Touma, R. Jannoun, G. Brock, F. |
| author_role | author |
| dc.creator.none.fl_str_mv | Touma, R. Jannoun, G. Brock, F. |
| dc.date.none.fl_str_mv | 2015 2018-09-07T10:37:05Z 2018-09-07T10:37:05Z 2018-09-07 |
| dc.identifier.none.fl_str_mv | 1873-5460 http://hdl.handle.net/10725/8439 Jannoun, G., Touma, R., & Brock, F. (2015). Convergence of two-dimensional staggered central schemes on unstructured triangular grids. Applied Numerical Mathematics, 92, 1-20. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0168927415000136 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Applied Numerical Mathematics |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Convergence of two-dimensional staggered central schemes on unstructured triangular grids |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | In this paper, we present a convergence analysis of a two-dimensional central finite volume scheme on unstructured triangular grids for hyperbolic systems of conservation laws. More precisely, we show that the solution obtained by the numerical base scheme presents, under an appropriate CFL condition, an optimal convergence to the unique entropy solution of the Cauchy problem. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_c9c7bbe44470ac99b79c2a6fca3a19d0 |
| identifier_str_mv | 1873-5460 Jannoun, G., Touma, R., & Brock, F. (2015). Convergence of two-dimensional staggered central schemes on unstructured triangular grids. Applied Numerical Mathematics, 92, 1-20. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/8439 |
| publishDate | 2015 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Convergence of two-dimensional staggered central schemes on unstructured triangular gridsTouma, R.Jannoun, G.Brock, F.In this paper, we present a convergence analysis of a two-dimensional central finite volume scheme on unstructured triangular grids for hyperbolic systems of conservation laws. More precisely, we show that the solution obtained by the numerical base scheme presents, under an appropriate CFL condition, an optimal convergence to the unique entropy solution of the Cauchy problem.PublishedN/A2018-09-07T10:37:05Z2018-09-07T10:37:05Z20152018-09-07Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1873-5460http://hdl.handle.net/10725/8439Jannoun, G., Touma, R., & Brock, F. (2015). Convergence of two-dimensional staggered central schemes on unstructured triangular grids. Applied Numerical Mathematics, 92, 1-20.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://www.sciencedirect.com/science/article/pii/S0168927415000136enApplied Numerical Mathematicsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/84392021-03-19T10:43:18Z |
| spellingShingle | Convergence of two-dimensional staggered central schemes on unstructured triangular grids Touma, R. |
| status_str | publishedVersion |
| title | Convergence of two-dimensional staggered central schemes on unstructured triangular grids |
| title_full | Convergence of two-dimensional staggered central schemes on unstructured triangular grids |
| title_fullStr | Convergence of two-dimensional staggered central schemes on unstructured triangular grids |
| title_full_unstemmed | Convergence of two-dimensional staggered central schemes on unstructured triangular grids |
| title_short | Convergence of two-dimensional staggered central schemes on unstructured triangular grids |
| title_sort | Convergence of two-dimensional staggered central schemes on unstructured triangular grids |
| url | http://hdl.handle.net/10725/8439 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://www.sciencedirect.com/science/article/pii/S0168927415000136 |