| 一类非线性对流占优抛物型方程组的特征交替方向有限元方法 |
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| 引用本文： | 杜宁.一类非线性对流占优抛物型方程组的特征交替方向有限元方法[J].应用数学,2004,17(4):649-655. |
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| 作者姓名： | 杜宁 |
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| 作者单位： | 山东大学数学院,山东,济南,250100 |
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| 基金项目： | SupportedbyNNSFofChina(19972 0 39,10 2 710 6 6 ) |
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| 摘 要： | 对一类非线性对流占优抛物型方程组建立时间离散的Patch逼近特征交替方向有限元格式 ,并给出了最优阶的L2 和H1模误差估计 .
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| 关 键 词： | 交替方向 特征 非线性抛物型方程组 |
Alternating-direction Characteristics Finite Element Method for a Kind of Convection-dominated Nonlinear Parabolic Systems |
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| Abstract.Alternating-direction Characteristics Finite Element Method for a Kind of Convection-dominated Nonlinear Parabolic Systems[J].Mathematica Applicata,2004,17(4):649-655. |
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| Authors: | Abstract |
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| Abstract: | A time-stepping alternating-direction Galerkin procedure along characteristics is formulated to treat a kind of convection-dominated nonlinear parabolic system using patch approximations.Optimal L2 and H1 error estimates are derived. |
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| Keywords: | Alternating direction Characteristics Nonlinear parabolic system |
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