双周期样条函数空间(?)_2~1(⊿_(mn)^((2)))  

DOUBLE-PERIODIC SPLINE SPACE (?)_2~1⊿_(wn)^((2))

作　　者：刘焕文[1] 

机构地区：[1]湘潭大学数学系

出　　处：《湘潭大学自然科学学报》1990年第1期19-26,共8页Natural Science Journal of Xiangtan University

摘　　要：本文求得了双周期样条函数空间■_2~1(⊿_(mn)^(2))的维数和一组具局部支集的基底。本文的结果表明,即使在十分正规的均匀(Ⅱ)型三角剖分下,空间■_2~1(⊿_(mn)^(2))的维数还受着铅直、水平剖分线数目的奇偶性影响。Let Ω denote the rectangular [0, 1]■[0, 1], ⊿_(m n)^(2) be the type-Ⅱ triangular partition of Ω. DefineS_1~2(⊿_(mn)^(2))={S∈C^1(Ω): the restriction of S to eacn triangular cell ofΩ is polynomial in two real variables of total degree 2}(?) 1/2(⊿_(mn)^(2)) is called double- periodic spline space.In this paper, we have discussed the dimension of ■_1~2(⊿_(mn)^(2)) and have given the basis with local support.

关 键 词：双周期 样条函数空间 维数 基底 

分 类 号：O241.5[理学—计算数学]