摘要
本文介绍从一组互不相关的函数中推导数值法中单元形状函数的简便而有效的算法,以特定的一维内插方法导出各种二维、三维的内插方法,它们对奇异性的模拟是有益的;为了适用于延伸到无限远的单元,假设形状函数类似于Lagrange多项式,但包含了一个按指数衰减的项。
A concise and efficient algorithm is presented for deriving element shape functions in numerical methods from an arbitrary set of indepen -dent functions. Based on special one-dimensional interpolatory schemes, varieties of two- and three-dimensional interpolatory schemes are developed, which are useful for modelling singular behaviour. The shape functions are assumed to be analogous to Lagrange polynomials but including an exponential decay term so as to be appropriate for elements which extend to infinity.
出处
《苏州科技学院学报（社会科学版）》
1992年第S1期6-15,共10页
Journal of University of Science and Technology of Suzhou:Social Science
关键词
单元形状函数
内插法
数值解
element shape functions, interpolation, numerical solution
