| 多元弱样条函数空间的维数 |
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| 引用本文： | 许志强,王仁宏.多元弱样条函数空间的维数[J].数学研究及应用,2002,22(1):7-12. |
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| 作者姓名： | 许志强 王仁宏 |
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| 作者单位： | 大连理工大学数学科学研究所,辽宁大连116024 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (19871010, 69973010) |
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| 摘 要： | 讨论了多元弱样条一点处的维数公式及任意三角剖分下的维数公式．得到了１－型剖分下Ｗ３１（Ｉ1Δｍｎ１）的维数与局部支集样条基．
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| 关 键 词： | 多元弱样条函数空间 维数 三角剖分 局部支集样条基 |
On the Dimension for Multivariate Weak Spline Function Spaces |
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| XU Zhi-qiang and WANG Ren-hong.On the Dimension for Multivariate Weak Spline Function Spaces[J].Journal of Mathematical Research with Applications,2002,22(1):7-12. |
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| Authors: | XU Zhi-qiang and WANG Ren-hong |
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| Institution: | Inst. of Math. Sci.; Dalian University of Technology; Liaoning; China;Inst. of Math. Sci.; Dalian University of Technology; Liaoning; China |
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| Abstract: | In this paper, the dimension formulaes of multivariate weak spline are discussed. The dimension formulaes of non-degree multivariate weak spline on a vertex are presented. The dimension formulaes on triangulation are also discussed. At last, the local supported bases of W31(I1△) are presented. |
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| Keywords: | spline weak spline dimension |
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