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| 双曲方程基于BB型对偶剖分的有限体积元法 | |
| 引用本文： | 甘小艇,阳莺.双曲方程基于BB型对偶剖分的有限体积元法[J].吉林大学学报(理学版),2010,48(6):914-920. |
| 作者姓名： | 甘小艇 阳莺 |
| 作者单位： | 1. 楚雄师范学院 数学系, 云南 楚雄 675000； 2. 桂林电子科技大学 数学与计算科学学院, 广西 桂林 541004 |
| 基金项目： | 广西科学基金，桂林电子科技大学科研启动基金 |
| 摘 要： | 基于三角形剖分和BB型对偶剖分,构造双曲方程半离散及两种全离散的有限体积元法,其中双曲方程的两种全离散格式分别用Grank-Nicolson和向后Euler格式逼近,得到并证明了双曲方程半离散有限体积元格式下最优的H1模和L2模误差估计及两种全离散格式下的误差估计. |
| 关 键 词： | 双曲方程 有限体积元法 BB型对偶剖分 误差估计 |
| 收稿时间： | 2009-11-17 |
Finite Volume Element Method for Hyperbolic Equation on BB Dual Subdivisions |
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| GAN Xiao-ting,YANG Ying.Finite Volume Element Method for Hyperbolic Equation on BB Dual Subdivisions[J].Journal of Jilin University: Sci Ed,2010,48(6):914-920. | |
| Authors: | GAN Xiao-ting YANG Ying |
| Institution: | 1. Department of Mathematics, Chuxiong Normal University, Chuxiong 675000, Yunnan Province, China| 2. School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China |
| Abstract: | One semi discrete and two fully discrete finite volume element methods based on triangulation and BB dual subdivisions were presented for the hyperbolic equations. Here, the two fully discrete schemes were approximated by the Grank Nicolson and the Backward Euler schemes respectively. And theoptimal H1,L2 norms error estimates for the semi discrete finite volume element scheme were obtained, and the error estimates of the two fully discrete schemes were also obtained. |
| Keywords: | hyperbolic equation finite volume element method BB dual subdivision error estimate |
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