| 摘要: |
| 基于区域的正四边形剖分,用有限体积法构造散度方程的Dirichlet问题的离散解,给出离散解和古典解的误差估计并证明离散解在L2-空间内收敛于其准确解. |
| 关键词: 离散解 Dirichlet问题 散度方程 有限体积法 |
| DOI： |
| 投稿时间：2011-10-17修订日期：2012-04-06 |
| 基金项目:国家自然科学基金项目(10771220),广西教育厅科研项目(200707MS043)资助。 |
|
| Discrete Solutions of Dirichlet Problems for Diffusion Equations on Square Grids |
|
SONG Mei-ling1, LAN Shi-yi2
|
| (1.Guangxi Preschool Education College, Nanning, Guangxi, 530022, China;2.Guangxi University for Nationalities, Nanning, Guangxi, 530007, China) |
| Abstract: |
| Based on the regular quadrangulations of domain, discrete solutions of Dirichlet problems for two-dimensional diffusion equations are constructed by using the methods of finite volume.The error estimates between the discrete solutions and the classical ones are obtained.It is proved that these discrete solutions converge to the exact solutions in L2-space. |
| Key words: discrete solution Dirichlet problem diffusion equation finite volume |
