两点边值问题基于应力佳点的一类二次有限体积元方法  

A Kind of Quadratic Finite Volume Element Method Based on Optimal Stress Points for Two-Point Boundary Value Problems

作　　者：郭伟利[1] 王同科[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《应用数学》2008年第4期748-756,共9页Mathematica Applicata

摘　　要：本文针对常微分方程两点边值问题提出了一种基于应力佳点的二次有限体积元格式,证明了该格式按离散能量模具有三阶收敛精度.具体算例表明该格式计算效果良好.In this paper, we present a kind of quadratic finite volume element method based on optimal stress points for two-point boundary value problems. It is proved that the given scheme has super convergence error estimate O（h^3） in H^1 discrete seminorm. Finally, two numerical examples show that the method is very effective.

关 键 词：两点边值问题 应力佳点 有限体积元格式 误差估计 

分 类 号：O241.81[理学—计算数学]