| 定常的热传导-对流问题的非线性Galerkin/Petrov最小二乘混合元法 |
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| 引用本文： | 罗振东,卢秀敏. 定常的热传导-对流问题的非线性Galerkin/Petrov最小二乘混合元法[J]. 计算数学, 2003, 25(4): 447-462 |
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| 作者姓名： | 罗振东 卢秀敏 |
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| 作者单位： | 首都师范大学数学系,北京,100037;首都师范大学数学系,北京,100037 |
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| 基金项目： | 国家自然科学基金,北京市教委科技发展计划,北京市优秀人才专项经费,北京市自然科学基金 |
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| 摘 要： | In this paper,a nonlinear Galerkin/Petrov-least squares mixed element (NG-PLSME) method for the stationary conduction-convection problems is presented and analyzed.The method is consistent and stable for any combination of dis-crete velocity and pressure spaces without requiring the Babuska-Brezzi stability condition.The existence, uniqueness and convergence (at optimal rate) of the NGPLSME solution is proved in the case of sufficient viscosity (or small data).
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| 关 键 词： | 热传导-对流问题 Petrov最小二乘法 非线性 Galerkin混合元法 |
| 修稿时间： | 2001-10-02 |
A NONLINEAR GALERKIN/PETROV-LEAST SQUARES MIXED ELEMENT METHOD FOR THE STATIONARY CONDUCTION-CONVECTION PROBLEMS |
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| Luo Zhendong Lu Xiumin. A NONLINEAR GALERKIN/PETROV-LEAST SQUARES MIXED ELEMENT METHOD FOR THE STATIONARY CONDUCTION-CONVECTION PROBLEMS[J]. Mathematica Numerica Sinica, 2003, 25(4): 447-462 |
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| Authors: | Luo Zhendong Lu Xiumin |
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| Affiliation: | Luo Zhendong Lu Xiumin Department of Mathematics, Captial Normal University, Beijing 100037 |
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| Abstract: | In this paper, a nonlinear Galerkin/Petrov-least squares mixed element (NG-PLSME) method for the stationary conduction-convection problems is presented and analyzed. The method is consistent and stable for any combination of discrete velocity and pressure spaces without requiring the Babuska-Brezzi stability condition. The existence, uniqueness and convergence (at optimal rate) of the NGPLSME solution is proved in the case of sufficient viscosity (or small data). |
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| Keywords: | conduction-convection problems Petrov-least squares method nonlinear Galerkin mixed element method. |
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