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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 被引量：1

LOCAL LAGRANGE INTERPOLATION BY BIVARIATE C^2 QUINTIC SUPER SPLINES ON WANG'S TRIANGULATIONS
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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.
作者 李娜 赵学杰 刘焕文
机构地区 德州学院数学系 广西民族大学
出处 《计算数学》 CSCD 北大核心 2011年第3期298-312,共15页 Mathematica Numerica Sinica
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 bivariate quintic super splines local Lagrange interpolation coloring algorithm Wang＇s refined triangulations
分类号 O241.3 [理学—计算数学]
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参考文献20

  • 1Nurnberger G, Schumaker L L, Zeilfelder F. Local Lagrange interpolation by bivariate C1 cubic splines[A]. Mathematical Methods in CAGD[M]: Oslo 2000, Tom Lyche and Larry Schumaker (eds.), Vanderbilt University Press, 2001, 393-404.
  • 2Nurnberger G, Schumaker L L, Zeilfelder F. Lagrange interpolation by C1 cubic splines on tri- angulations of separable quadrangulations[A]. In Approximation Theory X: splines, wavelets and Applications[M], C.K. Chui and Larry L. Schumaker(eds), Vanderbilt University Press, Nashville, 2002, 405-424.
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计算数学
2011年 第3期

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