| 非线性Sobolev方程Galerkin解法的后处理与超收敛 |
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| 引用本文： | 张怀宇. 非线性Sobolev方程Galerkin解法的后处理与超收敛[J]. 系统科学与数学, 1999, 19(2): 225-229 |
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| 作者姓名： | 张怀宇 |
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| 作者单位： | 山东大学数学与系统科学学院!济南，250100，中科院软件研究所并行软件研究开发中心，北京，100080 |
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| 摘 要： | 研究非线性Sobolev方程Galerkin解法的后处理与超收敛．对半离散及全离散格式，证明了当有限元空间次数，r≥2时，有限元解经过后处理，H1-模和L2-模误差估计可分别提高一阶．
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| 关 键 词： | 非线性Sobolev方程 Galerkin解法 后处理 超收敛 |
THE POSTPROCESSING FOR GALERKIN METHODS FOR NONLINEAR SOBOLEV EQUATIONS |
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| Huai Yu ZHANG. THE POSTPROCESSING FOR GALERKIN METHODS FOR NONLINEAR SOBOLEV EQUATIONS[J]. Journal of Systems Science and Mathematical Sciences, 1999, 19(2): 225-229 |
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| Authors: | Huai Yu ZHANG |
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| Affiliation: | Institute of Mathematics and System Science, Shandong University, Jinan 250100,P.R.China; R & DCPS, Institute Of Software, Academia Sinica, Beijing 100080,P.R.China |
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| Abstract: | The postprocessing for Galerkin methods for nonlinear Sobolev equations is studied in this paper.lt is proved that the estimates error in H1-and L2- norms after postprocessing can be improved by one order for both discrete and semi-discrete schemes as well as continuous time scheme has been proved when the degree of the standard finite element space is no less than two. |
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| Keywords: | Nonlinear Sobolev equation Galerkin method postprocessing superconvergence |
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