| 双曲型方程的基于外心对偶剖分的有限体积元法 |
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| 引用本文： | 甘小艇,阳莺.双曲型方程的基于外心对偶剖分的有限体积元法[J].信阳师范学院学报(自然科学版),2010,23(2). |
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| 作者姓名： | 甘小艇 阳莺 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 基金项目： | 广西科学基金，桂林电子科技大学启动基金 |
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| 摘 要： | 讨论双曲型方程的基于外心对偶剖分的有限体积元法.设原始三角形剖分的任意三角形单元的重心Q和外心C的距离满足|QC|=O(h2),在此条件下,给出了双曲型方程半离散有限体积元格式最优的H1模和L2模误差估计以及两个全离散格式下的误差估计.
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| 关 键 词： | 双曲型方程 三角形剖分 外心对偶剖分 有限体积元法 误差估计 |
The Finite Volume Element Method for Hyperbolic Equation Based on Circumcenter Dual Subdivisions |
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| GAN Xiao-ting,YANG Ying.The Finite Volume Element Method for Hyperbolic Equation Based on Circumcenter Dual Subdivisions[J].Journal of Xinyang Teachers College(Natural Science Edition),2010,23(2). |
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| Authors: | GAN Xiao-ting YANG Ying |
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| Institution: | GAN Xiao-ting*,YANG Ying(College of Computational Science , Mathematics,Guilin University of Electronic Technology,Guilin 541004,China) |
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| Abstract: | A finite volume element method for the hyperbolic equations based on circumcenter dual subdivision is discussed.Let the distances between the barycenter Q and circumcenter C of any triangle element satisfy |QC|=O(h2),and under this condition,the optimal H1 and L2 norms error estimates are obtained for the semi-discrete finite volume element scheme.Furthermore the error estimates are also obtained for the two fully-discrete schemes. |
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| Keywords: | hyperbolic equation triangular subdivision circumcenter dual subdivision finite volume element method error estimate |
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