摘要
本文首先通过在多面体区域上抬高维数的技巧给出了多元B形式中曲面的一般性定义.由此我们构造了平行四边形域上、正六边形域上和正八边形成上B形式的同次曲面格式,并给出了其基函数的递推公式和求导公式.同时我们也给出了正六边形域上插值角点的B形式同次曲面的表示式.
A general definition of surfaces of multivariate B-form for higher dimensional of polyhe-dron region is given.Thereby the forms of same degree surface of B-form on parallelogram region,regular hexagon region and regular octagon region are derived.Recurrence for-mula and derivation formula of its base function are given.Representation formula ofsame degree surface of B- form of interpolation angular points on regular hexagon regionis given simultaneously.