| 对流扩散方程的一种基于界面罚条件的非重叠区域分解法 |
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| 引用本文： | 曹丹,肖勇.对流扩散方程的一种基于界面罚条件的非重叠区域分解法[J].铜仁学院学报,2014(4):152-156. |
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| 作者姓名： | 曹丹 肖勇 |
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| 作者单位： | 湖南农业大学东方科技学院,湖南长沙410001 |
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| 基金项目： | 本文系湖南农业大学青年科学基金项目（11QN01）资助成果. |
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| 摘 要： | 应用基于界面罚条件的非重叠区域分解法求解稳态对流占优的对流扩散方程，分析了该方法的相容性，并对其有限元解进行了误差估计，证明当将罚参数ε选取得足够小时，用k阶有限元空间来逼近弱解空间，能得到最优阶的误差估计。
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| 关 键 词： | 非重叠区域分解法 对流扩散方程 罚条件 有限元 误差估计 |
On Non-overlapping Domain Decomposition Method of Convection-diffusion Equations Based on Interface Penalty Term |
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| CAO Dan,XIAO Yong.On Non-overlapping Domain Decomposition Method of Convection-diffusion Equations Based on Interface Penalty Term[J].Journal of Tongren University,2014(4):152-156. |
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| Authors: | CAO Dan XIAO Yong |
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| Institution: | ( Orient Science and Technology College of Hunan Agricultural University, Changsha, Hunan 410001, China ) |
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| Abstract: | We applied a non-overlapping domain decomposition method via a penalization on the interface to convection-dominated convection-diffusion equations and analyzed its consistency. And the finding is that the error estimates are optimal when used finite elements of degree k and set the parameter ε small enough. |
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| Keywords: | non-overlapping domain decomposition method convection-diffusion equations penalty term finite element error estimates |
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