| 线性Sobolev方程的全离散间断有限体积元方法 |
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| 引用本文： | 于娟,姜子文. 线性Sobolev方程的全离散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): 7-10 |
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| 作者姓名： | 于娟 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： | 笔者给出了线性Sobolev方程后退Euler全离散间断有限体积元格式,得到了该格式的最优L^2模和离散H^1模估计．
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| 关 键 词： | 线性Sobolev方程 后退Euler全离散间断有限体积元格式 最优误差估计 |
THE FULLY DISCRETE DISCONTINUOUS FINITE VOLUME ELEMENT METHOD FOR LINEAR SOBOLEV EQUATIONS |
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| Yu Juan , Jiang Ziwen. THE FULLY DISCRETE DISCONTINUOUS FINITE VOLUME ELEMENT METHOD FOR LINEAR SOBOLEV EQUATIONS[J]. Journal of Shandong Normal University(Natural Science), 2013, 28(1): 7-10 |
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| Authors: | Yu Juan Jiang Ziwen |
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| Affiliation: | Yu Juan Jiang Ziwen ( School of Mathematics Science, Shandong Normal University 250014, Jinan, China ) |
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| Abstract: | We give the backward Euler fully discrete discontinuous finite volume element scheme for the linear Sobolev equation and obtain the optimal error estimates in L2 -norm and discrete H1 -norm. |
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| Keywords: | linear Sobolev equations backward Euler fully discrete discontinuous finite volume elementmethod optimal error estimate |
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