Cubic Finite Volume Methods for Second Order Elliptic Equations with Variable

• 作 者: 杨旻
• 机 构: InstituteofMathematicsandSystemScience
• 出 处: 东北数学：英文版
• 发表日期: 2005年2期
• 关键词: 有限体积法 厄密立方元 误差估计 优化近似算法 边值问题 finite volume method cubic Hermite element error
• 基金项目: The Major State Basic Research (1999032803) of China, the NNSF (10372052, 10271066)of China and the Doctorate Foundation (20030422047) of the Ministry of Education of China.

In this paper, we present a finite volume framework for second order elliptic equations with variable coefficients based on cubic Hermite element. We prove the optimal H^1 norm error estimates. A numerical example is given at the end to show the feasibili