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On numerical quadrature forC1quadratic Powell–Sabin 6-split macro-triangles

  • Published:2019-03 Issue: Volume:349 Page:239-250
  • ISSN:0377-0427
  • Container-title:Journal of Computational and Applied Mathematics
  • language:en
  • Short-container-title:Journal of Computational and Applied Mathematics

Author:

Bartoň MichaelORCID,Kosinka JiříORCID

Funder

Basque Government

Spanish Ministry of Economy and Competitiveness MINECO

Spanish Ministry of Economy and Competitiveness

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference39 articles.

1. Introduction to Numerical Analysis;Hildebrand,1956

2. Calculation of Gauss quadrature rules;Golub;Math. Comp.,1969

3. Generalized Gaussian quadrature rules on arbitrary polygons;Mousavi;Internat. J. Numer. Methods Engrg.,2010

4. A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions;Xiao;Comput. Math. Appl.,2010

5. Numerical integration over simplexes;Hammer;Math. Tables Other Aids Comput.,1956

Cited by 9 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. Numerical quadrature for Gregory triangles;Journal of Computational and Applied Mathematics;2025-01

2. Quadrature rules for C1 quadratic spline finite elements on the Powell–Sabin 12-split;Computer Methods in Applied Mechanics and Engineering;2024-10

3. Numerical quadrature for Gregory quads;Applied Mathematics and Computation;2023-09

4. Generalized C1 Clough–Tocher splines for CAGD and FEM;Computer Methods in Applied Mechanics and Engineering;2022-05

5. A geometric characterization of Powell-Sabin triangulations allowing the construction of C2 quartic splines;Computers & Mathematics with Applications;2021-10
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