求解二阶椭圆型偏微分方程的一种有限体积元格式 |
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引用本文: | 丰连海.求解二阶椭圆型偏微分方程的一种有限体积元格式[J].工程数学学报,2002,19(4):63-67. |
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作者姓名: | 丰连海 |
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作者单位: | 中州大学基础部,郑州,450005 |
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摘 要: | 针对二维二阶椭圆型偏微分方程边值问题提出了一种新型的有限体积元格式,证明了该格式按离散能量模具有二阶收敛精度,具体算例表明,该格式计算效果良好。
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关 键 词: | 二阶椭圆型偏微分方程 边值问题 有限体积元格式 误差估计 |
文章编号: | 1005-3085(2002)04-0063-05 |
修稿时间: | 2001年12月6日 |
A Finite Volume Element Scheme for Solving Second Order Elliptic Partial Differential Equations |
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Abstract: | This paper presents a kind of finite volume element scheme for two-dimensional second order elliptic partial differential equations with Dirichlet boundary condition and we prove that the scheme has second order convergence accuracy with respect to discrete energy norm. A numerical example shows that the method is effective. |
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Keywords: | second order elliptic partial differential equation boundary value problem finite volume element scheme error estimate |
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