许志强,王仁宏.多元弱样条函数空间的维数(英文)[J].数学研究及应用,2002,22(1):7~12 |
多元弱样条函数空间的维数(英文) |
On the Dimension for Multivariate Weak Spline Function Spaces |
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DOI:10.3770/j.issn:1000-341X.2002.01.002 |
中文关键词: |
英文关键词:spline weak spline dimension. |
基金项目: |
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摘要点击次数: 3485 |
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中文摘要: |
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. |
英文摘要: |
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(I1Δ) are presented. |
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