W-加密三角剖分下二元五次超样条函数空间的局部Lagrange插值  

LOCAL LAGRANGE INTERPOLATION BY BIVARIATE C^2 QUINTIC SUPER SPLINES ON WANG'S TRIANGULATIONS

作　　者：李娜[1] 赵学杰[1] 刘焕文[2] 

机构地区：[1]德州学院数学系,山东德州253023 [2]广西民族大学,南宁530006

出　　处：《计算数学》2011年第3期298-312,共15页Mathematica Numerica Sinica

摘　　要：本文选取二元五次C^2超样条函数空间作为插值空间,考虑局部Lagrange插值.首先对三角剖分△进行着色,通过Wang-加密三角剖分对原剖分△细分大约-半的三角形.然后通过在内边增加一些另外的光滑条件,使得样条函数在某些边上达到更高阶的光滑.最后在△的加密三角剖分内选择Lagrange插值点.结果表明相应的插值基函数具有局部支集.Lag-range interpolation scheme is constructed based on bivariate C2 quintic super spline spaces on Wang＇s refined triangulation. Firstly, a suitable coloring of the triangles in the original triangulation is used and about half of the triangles are subdivided by a Wang＇s refined triangulation. Then, Lagrange interpolation points axe chosen in the refined trian- gulation by requiring certain additional smoothness conditions across inserted edges. The corresponding fundamental splines have local supports.

关 键 词：二元五次超样条 局部Lagrange插值 着色理论 Wang-加密三角剖分 

分 类 号：O241.3[理学—计算数学]