摘要
本文讨论了三角域和多边形域上的光滑函数在边界的法向导数和沿边界的方向导数的关系,得到了三角域和多边形域上C^1(C^2)插值的简化判别条件。提出了三角域上的一种C^2插值方法。最后,我们给出了误差估计和计算实例。
In part one of this paper, we discussed the relation between directional and normalderivatives of smooth functions on boundary of triangle or polygon. Therefore a simpli-fied criteria is obtained for C^1 (C^2) interpolating in triangles or polygons. In part two, amethod is presented for constructing C^2 interpolating functions in arbitrary triangles. Fi-nally, the error of interpolating function is estimated, and a numerical example is given.
出处
《国防科技大学学报》
EI
CAS
CSCD
北大核心
1993年第2期77-83,共7页
Journal of National University of Defense Technology
关键词
曲面插值
三角域
光滑函数
插值法
yeometry
directional derivative
surface interpolation
