| 非线性双曲方程的间断有限体积元方法 |
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| 引用本文： | 张营营,姜子文. 非线性双曲方程的间断有限体积元方法[J]. 山东师范大学学报(自然科学版), 2013, 0(2): 1-4 |
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| 作者姓名： | 张营营 姜子文 |
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| 作者单位： | 山东师范大学数学科学学院,济南250014 |
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| 基金项目： | 国家自然科学基金资助项目（11171193,10971254）;山东省自然科学基金资助项目（ZR2011AM016） |
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| 摘 要： | 针对非线性双曲问题，给出了半离散间断有限体积元格式，得到了该格式解的最优L^2模和离散H^1模误差估计．
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| 关 键 词： | 间断有限体积元方法 非线性双曲方程 最优误差估计 |
THE DISCONTINUOUS FINITE VOLUME ELEMENT METHOD FOR NONLINEAR HYPERBOLIC EQUATIONS |
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| Zhang Yingying Jiang Ziwen. THE DISCONTINUOUS FINITE VOLUME ELEMENT METHOD FOR NONLINEAR HYPERBOLIC EQUATIONS[J]. Journal of Shandong Normal University(Natural Science), 2013, 0(2): 1-4 |
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| Authors: | Zhang Yingying Jiang Ziwen |
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| Affiliation: | Zhang Yingying Jiang Ziwen ( School of Mathematics Science, Shandong Normal University,250014, Jinan, China ) |
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| Abstract: | According to the nonlinear hyperbolic problems in this paper, we give the semi discrete scheme of discontinuous finite volume element method, and also obtain the optimal error estimates in L^2 - norm and discrete H^1 - norm. |
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| Keywords: | discontinuous finite volume element method nonlinear hyperbolic equation optimal error estimates |
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