正四边形网格上散度方程的Dirichlet问题的离散解  

Discrete Solutions of Dirichlet Problems for Diffusion Equations on Square Grids

作　　者：宋美玲[1] 蓝师义[2] 

机构地区：[1]广西幼儿师范高等专科学校,广西南宁530022 [2]广西民族大学,广西南宁530007

出　　处：《广西科学》2012年第3期209-212,共4页Guangxi Sciences

基　　金：国家自然科学基金项目(10771220);广西教育厅科研项目(200707MS043)资助

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.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 L^2 -space.

关 键 词：离散解 DIRICHLET问题 散度方程 有限体积法 

分 类 号：O174.55[理学—数学]