Error analysis of adaptive upwind difference method for a convection diffusion problem(在自适应网格上用迎风格式求解对流扩散问题的误差分析)
建立了连续微分算子和离散微分算子的稳定性,采用格林函数方法,证明了在自适应网格上求解一般形式对流扩散问题的迎风差分格式的误差是关于小参数ε一阶一致收敛的.这一收敛性结论与现有的这类误差分析的文献相比较,推广到了更一般的情况....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2009-09-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2009.05.006 |
| _version_ | 1797236167700119552 |
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| author | YANGJi-ming(杨继明) |
| author_facet | YANGJi-ming(杨继明) |
| author_sort | YANGJi-ming(杨继明) |
| collection | DOAJ |
| description | 建立了连续微分算子和离散微分算子的稳定性,采用格林函数方法,证明了在自适应网格上求解一般形式对流扩散问题的迎风差分格式的误差是关于小参数ε一阶一致收敛的.这一收敛性结论与现有的这类误差分析的文献相比较,推广到了更一般的情况. |
| first_indexed | 2024-04-24T16:59:33Z |
| format | Article |
| id | doaj.art-a2477586ce464e08bc5f67d2a65df74e |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:59:33Z |
| publishDate | 2009-09-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-a2477586ce464e08bc5f67d2a65df74e2024-03-29T01:58:27ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972009-09-0136550851310.3785/j.issn.1008-9497.2009.05.006Error analysis of adaptive upwind difference method for a convection diffusion problem(在自适应网格上用迎风格式求解对流扩散问题的误差分析)YANGJi-ming(杨继明)0College of Science, Hunan Institute of Engineering, Xiangtan 411104, Hunan Province, China(湖南工程学院理学院，湖南 湘潭 411104)建立了连续微分算子和离散微分算子的稳定性,采用格林函数方法,证明了在自适应网格上求解一般形式对流扩散问题的迎风差分格式的误差是关于小参数ε一阶一致收敛的.这一收敛性结论与现有的这类误差分析的文献相比较,推广到了更一般的情况.https://doi.org/10.3785/j.issn.1008-9497.2009.05.006对流扩散格林函数自适应 |
| spellingShingle | YANGJi-ming(杨继明) Error analysis of adaptive upwind difference method for a convection diffusion problem(在自适应网格上用迎风格式求解对流扩散问题的误差分析) Zhejiang Daxue xuebao. Lixue ban 对流扩散 格林函数 自适应 |
| title | Error analysis of adaptive upwind difference method for a convection diffusion problem(在自适应网格上用迎风格式求解对流扩散问题的误差分析) |
| title_full | Error analysis of adaptive upwind difference method for a convection diffusion problem(在自适应网格上用迎风格式求解对流扩散问题的误差分析) |
| title_fullStr | Error analysis of adaptive upwind difference method for a convection diffusion problem(在自适应网格上用迎风格式求解对流扩散问题的误差分析) |
| title_full_unstemmed | Error analysis of adaptive upwind difference method for a convection diffusion problem(在自适应网格上用迎风格式求解对流扩散问题的误差分析) |
| title_short | Error analysis of adaptive upwind difference method for a convection diffusion problem(在自适应网格上用迎风格式求解对流扩散问题的误差分析) |
| title_sort | error analysis of adaptive upwind difference method for a convection diffusion problem 在自适应网格上用迎风格式求解对流扩散问题的误差分析 |
| topic | 对流扩散 格林函数 自适应 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2009.05.006 |
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