| 引用本文： |
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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. [点击复制]
- LIU Sheng,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. [点击复制]
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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. |
| 关键词: 抛物型方程 误差估计 四边形网格 有限体积元法 |
| DOI： |
| 投稿时间：2011-11-23修订日期：2012-02-10 |
| 基金项目:国家自然科学基金项目(11001062)和广西教育厅基金项目(201012MS094)资助。 |
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| L2 Error Estimates of the Finite Volume Element Methods for Parabolic Equations with Variable Coefficients on Quadrilateral Meshes |
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LIU Sheng, YANG Ying
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| (Department of Computational Science and Mathematics, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The volume element methods for a kind of parabolic equations with variable coefficients on quadrilateral networks are proposed. The L2norms best convergence order error estimates for both a semi-discrete and two full-discrete finite volume element schemes for parabolic equations with variable coefficients are presented on h2 quasi-parallel quadrilateral elements. |
| Key words: parabolic equations error estimate quadrilateral mesh finite volume element method |
