In this paper we introduce interpolating operator of polynomial form and parameters which is fixed to treat, and construct osculatory rational interpolating function by the method of convex combination. 本文通过引入多项式形式插值算子及待定的参数,用凸组合方法来构造切触有理插值函数。
A third-order polynomial based on three-dimensional Cartesian coordinates ( x, y, z) is adoped as the element interpolating function to make sure that first derivatives and second and third mixed derivatives of the variable functions over the entire domain are continuous. 文中探讨的任意空间六面体协调单元,能保证单元节点上的函数,一阶导数及其二、三阶混合导数是连续的。