摘要
本文引用参数变换手段建立任意网格的三点差分格式(简称T格式),并基于变分原理导出适用于非线性非均匀平面问题的变分-差分支配方程。计算结果表明:T格式的差分解是收敛的,其精度介于有限元三角形单元(T_3单元)和有限元四节点等参单元(Q_4单元)之间,而它的计算工程量与有限元T_3单元相近。
In this paper the differencing scheme with three points(“T-scheme” for short)is established by meatus of parameter transformation.On the basis of the variational principle,the variational difference governing equation,which is also applicable to nonlinear and inhomogeneous problems, is derived.The computational results show that differencing solution of the“T-scheme”are convergent,the accuracy ranges between that of the triangular element(“T_3-element”)and that of the isoparameteric element with four nodal points(“Q_4-element”),and the computational efficiency of“T-scheme”approximates to that of“T_3-element”.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1989年第1期23-30,共8页
Journal of Hohai University(Natural Sciences)
基金
中国科学院基金
关键词
有限元
差分格式
参数变换
finite element
differencing scheme
parameter transformation
couple of subregion
