Discontinuous Mixed Covolume Methods for Parabolic Problems
We present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error estimates in discontinuous Hdiv and first-order er...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/867863 |
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| _version_ | 1850176070438879232 |
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| author | Ailing Zhu Ziwen Jiang |
| author_facet | Ailing Zhu Ziwen Jiang |
| author_sort | Ailing Zhu |
| collection | DOAJ |
| description | We present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error estimates in discontinuous Hdiv and first-order error estimate in L2. |
| format | Article |
| id | doaj-art-ba6a46134ad94a51907bf8736df2ffda |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ba6a46134ad94a51907bf8736df2ffda2025-08-20T02:19:21ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/867863867863Discontinuous Mixed Covolume Methods for Parabolic ProblemsAiling Zhu0Ziwen Jiang1School of Mathematical Sciences, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematical Sciences, Shandong Normal University, Jinan 250014, ChinaWe present the semidiscrete and the backward Euler fully discrete discontinuous mixed covolume schemes for parabolic problems on triangular meshes. We give the error analysis of the discontinuous mixed covolume schemes and obtain optimal order error estimates in discontinuous Hdiv and first-order error estimate in L2.http://dx.doi.org/10.1155/2014/867863 |
| spellingShingle | Ailing Zhu Ziwen Jiang Discontinuous Mixed Covolume Methods for Parabolic Problems The Scientific World Journal |
| title | Discontinuous Mixed Covolume Methods for Parabolic Problems |
| title_full | Discontinuous Mixed Covolume Methods for Parabolic Problems |
| title_fullStr | Discontinuous Mixed Covolume Methods for Parabolic Problems |
| title_full_unstemmed | Discontinuous Mixed Covolume Methods for Parabolic Problems |
| title_short | Discontinuous Mixed Covolume Methods for Parabolic Problems |
| title_sort | discontinuous mixed covolume methods for parabolic problems |
| url | http://dx.doi.org/10.1155/2014/867863 |
| work_keys_str_mv | AT ailingzhu discontinuousmixedcovolumemethodsforparabolicproblems AT ziwenjiang discontinuousmixedcovolumemethodsforparabolicproblems |