| 含Dirichlet边界条件的局部间断有限元方法的收敛性分析 |
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| 引用本文： | 郑亚敏.含Dirichlet边界条件的局部间断有限元方法的收敛性分析[J].河南科学,2013(10):1587-1591. |
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| 作者姓名： | 郑亚敏 |
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| 作者单位： | 陕西榆林学院数学系,陕西榆林719000 |
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| 基金项目： | 榆林学院高层次人才科研启动基金（09GK12） |
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| 摘 要： | 针对一维常系数对流扩散模型方程，讨论了当含有Dirichlet边界条件时，局部间断有限元方法（LDG方法）的收敛性．证明了当边界条件为Dirichlet边界条件时，LDG方法的收敛阶仍可达到k阶．最后给出数值例子来证实该结论．
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| 关 键 词： | LDG方法 Dirichlet边界条件 收敛性 |
The Convergence of LDG Method with Dirichlet Boundary Condition |
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| Zheng Yamin.The Convergence of LDG Method with Dirichlet Boundary Condition[J].Henan Science,2013(10):1587-1591. |
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| Authors: | Zheng Yamin |
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| Institution: | Zheng Yamin (Department of Mathematics, Yulin College, Yulin 719000, Shaanxi China) |
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| Abstract: | We study the convergence properties of the local discontinuous Galerkin finite element method for convection-diffusion problems with Dirichlet boundary condition. We identify that this method is convergence in the energy norm of the error at a rate of hk. The theoretical results are confirmed in a series of numerical examples. |
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| Keywords: | LDG method Dirichlet boundary condition convergence |
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