Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction Problem
Based on the heterogeneous multiscale method, this paper presents a finite volume method to solve multiscale convection-diffusion-reaction problem. The paper constructs an algorithm of the optimal order convergence rate in H1-norm under periodic medias.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/2927080 |
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| _version_ | 1832548728334974976 |
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| author | Tao Yu Peichang Ouyang Haitao Cao |
| author_facet | Tao Yu Peichang Ouyang Haitao Cao |
| author_sort | Tao Yu |
| collection | DOAJ |
| description | Based on the heterogeneous multiscale method, this paper presents a finite volume method to solve multiscale convection-diffusion-reaction problem. The paper constructs an algorithm of the optimal order convergence rate in H1-norm under periodic medias. |
| format | Article |
| id | doaj-art-2d380bc804bd42bcb19609ca88f9c358 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-2d380bc804bd42bcb19609ca88f9c3582025-02-03T06:13:15ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/29270802927080Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction ProblemTao Yu0Peichang Ouyang1Haitao Cao2Department of Mathematics and Physics, Jinggangshan University, Ji’an 343009, ChinaDepartment of Mathematics and Physics, Jinggangshan University, Ji’an 343009, ChinaDepartment of Mathematics and Physics, Hohai University, Changzhou Campus, Changzhou 213022, ChinaBased on the heterogeneous multiscale method, this paper presents a finite volume method to solve multiscale convection-diffusion-reaction problem. The paper constructs an algorithm of the optimal order convergence rate in H1-norm under periodic medias.http://dx.doi.org/10.1155/2018/2927080 |
| spellingShingle | Tao Yu Peichang Ouyang Haitao Cao Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction Problem Complexity |
| title | Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction Problem |
| title_full | Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction Problem |
| title_fullStr | Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction Problem |
| title_full_unstemmed | Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction Problem |
| title_short | Error Estimates for the Heterogeneous Multiscale Finite Volume Method of Convection-Diffusion-Reaction Problem |
| title_sort | error estimates for the heterogeneous multiscale finite volume method of convection diffusion reaction problem |
| url | http://dx.doi.org/10.1155/2018/2927080 |
| work_keys_str_mv | AT taoyu errorestimatesfortheheterogeneousmultiscalefinitevolumemethodofconvectiondiffusionreactionproblem AT peichangouyang errorestimatesfortheheterogeneousmultiscalefinitevolumemethodofconvectiondiffusionreactionproblem AT haitaocao errorestimatesfortheheterogeneousmultiscalefinitevolumemethodofconvectiondiffusionreactionproblem |