任意三角域上的C^2插值

C￣2 Interpolatiou over an Arbitrary Triangle

本文提出了任意三角域上的一种Ｃ~２插值方法，该方法构造容易，计算简单、有效，它的逼近阶是Ｏ（ｈ９），代数精度集为｛ｘｉｙｊ，ｉ＋Ｊ≤８｝。

Abstract This paper presented a method for constructing C￣2 interpolating functions of arbitrary triangles.The method is easy to construct,the calculation involved is simple and efficient,and its the order of approximation is more better that one in[4-5],its algebraic precision set is{x￣iy￣i,i+j≤8).Finally,a example is given.