| 凸多边形单元上的样条Blending插值格式 |
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| 引用本文： | 战荫伟. 凸多边形单元上的样条Blending插值格式[J]. 汕头大学学报(自然科学版), 1995, 10(1): 28-34 |
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| 作者姓名： | 战荫伟 |
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| 作者单位： | 汕头大学数学研究所 |
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| 摘 要： | 对任意的正整数μ，本文给出了凸多边形单元上的Ｃμ样条Ｂｌｅｎｄｉｎｇ插值格式，它仅需要函数在多边形边界上的直至μ阶的偏导数值，且具有２μ＋１阶代数精度．
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| 关 键 词： | 有限元；插值；样条函数；三角剖分 |
Spline blending interpolation scheme over convex polygonal cells |
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| Zhao Yinwei. Spline blending interpolation scheme over convex polygonal cells[J]. Journal of Shantou University(Natural Science Edition), 1995, 10(1): 28-34 |
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| Authors: | Zhao Yinwei |
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| Abstract: | For an arbitrary positive integer μ, a Cμspline blending interpolation scheme over convex polygonal cells is given. It needs only the partial derivatives with orders up to μ of the interpolated function on the boundary of the polygon and has algebraic precision of degree 2μ+ 1. |
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| Keywords: | finite Clement interpolation spline function triangulation |
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