摘要
借助泊松方程,对势场问题的加权余数积分方程进行了完整的推导。此问题含有基本的和自然的两类边界条件,对工程分析具有普遍性。在此基础上,介绍了有限差分、有限元和边界元这些主要工程数值方法的单元特征式,从而表明了它们之间的区别与联系。
In this paper a complete derivation of weighted residualintegral equation for the potential problems as applied to engineeringanalysis via Poisson equation is accomplished. The problems consist, ofboth essential and natural boundary conditions widely used in theengineering analysis. And such elemental characteristic fomulas formain engineering numerical methods as finite difference, finite elementand boundary element are presented to show their difference andrelationship.
关键词
势能场
数值计算
加权
残数
差分法
potential energy fields
numerical computation
weighted
residue
difference methods
finite element methods
boundary element methods
