On the dimension of bivariate spline spaces of smoothnessr and degreed=3r+1-Reference-Cited by-同舟云学术

On the dimension of bivariate spline spaces of smoothnessr and degreed=3r+1

Published:1990-12 Issue:1 Volume:57 Page:651-661
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Alfeld Peter,Schumaker Larry L.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/article/10.1007/BF01386434/fulltext.html

Reference17 articles.

1. Alfeld, P.: On the dimension of multivariate piecewise polynomials. In: Griffiths, D.F., Watson, G.A. (eds.) Numerical analysis, pp. 1?23. Essex: Longman Scientific and Technical, 1985

2. Alfeld, P.: A case study of multivariate piecewise polynomials. In: Farin, G. (ed.) Geometric modelling, pp. 149?160. SIAM, Philadelphia, 1987

3. Alfeld, P., Piper, B., Schumaker, L.L.: An explicit basis forC 1 quartic bivariate splines. SIAM J. Numer. Anal.24, 891?911 (1987)

4. Alfeld, P., Piper, B., Schumaker, L.L.: Minimally supported bases for spaces of bivariate piecewise polynomials of smoothnessr and degreed?4r+1. Comput. Aided Geom. Des.4, 105?123 (1987)

5. Alfeld, P., Piper, B., Schumaker, L.L.: Spaces of bivariate splines on triangulations with holes. J. Approximation Theory Appl.3, 1?10 (1987)

Cited by 55 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bivariate Splines on a Triangulation with a Single Totally Interior Edge;SIAM Journal on Applied Algebra and Geometry;2024-08-23

2. Multivariate polynomial splines on generalized oranges;Journal of Approximation Theory;2024-05

3. Generalized Splines on Graphs with Two Labels and Polynomial Splines on Cycles;The Electronic Journal of Combinatorics;2024-01-26

4. A lower bound for the dimension of tetrahedral splines in large degree;Constructive Approximation;2023-06-12

5. Counting the dimension of splines of mixed smoothness;Advances in Computational Mathematics;2021-01-17