On the Dimension for Multivariate Weak Spline Function Spaces
  
Key Words: spline   weak spline   dimension.  
Fund Project:Project supported by the National Natural Science Foundation of China (19871010, 69973010)
Author NameAffiliation
XU Zhi-qiang Inst. of Math. Sci.
Dalian University of Technology
Liaoning
China 
WANG Ren-hong 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 W(I1Δ) are presented.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.01.002
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