| 非线性抛物型方程预估校正Galerkin方法的收敛性 |
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| 引用本文： | 李潜.非线性抛物型方程预估校正Galerkin方法的收敛性[J].山东大学学报(理学版),1991(3). |
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| 作者姓名： | 李潜 |
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| 作者单位： | 山东大学数学系 |
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| 摘 要： | 本文讨论非线性抛物型方程初边值问题的预估校正Galerkin方法,推广并改善了Douglas和Wheeler的结果.本文不仅得到最佳L_2误差估计,而且导出了强于Douglas的最佳H~1误差估计,同时还建立了L_∞及其时间导数的最佳误差估计.
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| 关 键 词： | 非线性抛物型方程 Galcrkin方法 收敛性 |
THE CONVERGENCE OF THE PREDICTOR CORRECTOR GALERKIN METHOD FOR NONLINEAR PARABOLIC EQUATIONS |
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| Li Qian.THE CONVERGENCE OF THE PREDICTOR CORRECTOR GALERKIN METHOD FOR NONLINEAR PARABOLIC EQUATIONS[J].Journal of Shandong University,1991(3). |
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| Authors: | Li Qian |
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| Institution: | Li Qian,Department of Mnthematics,Shandong University,Jinan |
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| Abstract: | In this paper, the predictor corrector Galerkin method is discussed for the sec-ond order nonlincar paprablioc initial boundary value paoblem. The optimal L_2 error estimates, and H~1 error estimate under senses stranger than in 1] are dereved, The optimal error estimates for time derivatives are also obtained. |
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| Keywords: | nonlinear parabolic equation Galerkin method convergence |
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