| 二维半线性伪抛物方程间断有限体积元方法 |
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| 引用本文： | 陈凡,姜子文.二维半线性伪抛物方程间断有限体积元方法[J].山东师范大学学报(自然科学版),2013,28(1):37-40. |
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| 作者姓名： | 陈凡 姜子文 |
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| 作者单位： | 山东师范大学数学科学学院,250014,济南 |
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| 基金项目： | 国家自然科学基金资助项目，山东省自然科学基金资助项目 |
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| 摘 要： | 讨论了二维半线性伪抛物方程的间断有限体积元方法，提出了相应的半离散格式，得到了该格式的离散最优L^2模估计和H^1模估计．
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| 关 键 词： | 半线性伪抛物方程 间断有限体积元方法 最优误差估计 |
THE DISCONTINUOUS FINITE VOLUME ELEMENT METHOD FOR TWO-DIMENSIONAL SEMI-LINEAR PSEUDO-PARABOLIC EQUATIONS |
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| Chen Fan
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Jiang Ziwen.THE DISCONTINUOUS FINITE VOLUME ELEMENT METHOD FOR TWO-DIMENSIONAL SEMI-LINEAR PSEUDO-PARABOLIC EQUATIONS[J].Journal of Shandong Normal University(Natural Science),2013,28(1):37-40. |
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| Authors: | Chen Fan Jiang Ziwen |
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| Institution: | Chen Fan Jiang Ziwen ( School of Mathematics Science, Shandong Normal University ,250014 ,Jinan, China ) |
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| Abstract: | We consider the discontinuous fnite volume element methods for two -dimensional semi -linear pseudo -parabolic equations, construct the discrete scheme and obtain the optimal error estimates of L2 -norm and the error estimates in H1 -norm. |
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| Keywords: | semi - linear pseudo - parabolic equations optimal error estimatediscontinuous fnite volume element method |
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