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二次变系数椭圆方程的三次有限体积元方法
引用本文:杨旻.二次变系数椭圆方程的三次有限体积元方法[J].东北数学,2005(2).
作者姓名:杨旻
作者单位:Institute of
基金项目:国家重点基础研究发展计划(973计划);中国科学院资助项目;中国博士后科学基金;国家自然科学基金
摘    要: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 H1 norm error estimates. A numerical example is given at the end to show the feasibility of the method.


Cubic Finite Volume Methods for Second Order Elliptic Equations with Variable Coefficients
YANG Min.Cubic Finite Volume Methods for Second Order Elliptic Equations with Variable Coefficients[J].Northeastern Mathematical Journal,2005(2).
Authors:YANG Min
Abstract: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 H1 norm error estimates. A numerical example is given at the end to show the feasibility of the method.
Keywords:finite volume method  cubic Hermite element  error estimate
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