| 四边形网格上变系数抛物型方程有限体积元法的L2模误差估计 |
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| 引用本文： | 刘胜,阳莺.四边形网格上变系数抛物型方程有限体积元法的L2模误差估计[J].广西科学院学报,2012,28(2):98-101. |
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| 作者姓名： | 刘胜 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： | 国家自然科学基金项目，广西教育厅基金项目 |
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| 摘 要： | 在h2拟平行四边形条件下,给出变系数抛物型方程一个半离散和两个全离散有限体积元格式的L2模最佳收敛阶误差估计.
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| 关 键 词： | 抛物型方程 误差估计 四边形网格 有限体积元法 |
| 收稿时间： | 2011/11/23 0:00:00 |
| 修稿时间： | 2012/2/10 0:00:00 |
L2 Error Estimates of the Finite Volume Element Methods for Parabolic Equations with Variable Coefficients on Quadrilateral Meshes |
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| LIU Sheng and YANG Ying.L2 Error Estimates of the Finite Volume Element Methods for Parabolic Equations with Variable Coefficients on Quadrilateral Meshes[J].Journal of Guangxi Academy of Sciences,2012,28(2):98-101. |
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| Authors: | LIU Sheng and YANG Ying |
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| Institution: | (Department of Computational Science and Mathematics, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
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| Abstract: | The volume element methods for a kind of parabolic equations with variable coefficients on quadrilateral networks are proposed. The L2 norms best convergence order error estimates for both a semidiscrete and two full-discrete finite volume element schemes for parabolic equations with variable coefficients are presented on h2 quasi-parallel quadrilateral elements. |
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| Keywords: | parabolic equations error estimate quadrilateral mesh finite volume element method |
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