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Efficient quadrature rules for subdivision surfaces in isogeometric analysis

  • Published:2018-10 Issue: Volume:340 Page:1-23
  • ISSN:0045-7825
  • Container-title:Computer Methods in Applied Mechanics and Engineering
  • language:en
  • Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Barendrecht Pieter J.,Bartoň MichaelORCID,Kosinka Jiří

Funder

Basque Government

Spanish Ministry of Economy and Competitiveness MINECO: BCAM Severo Ochoa excellence accreditation

Spanish Ministry of Economy and Competitiveness

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference55 articles.

1. Subdivision Surfaces;Peters,2008

2. Subdivision Surfaces in Character Animation;DeRose,1998

3. Recursively generated B-spline surfaces on arbitrary topological meshes;Catmull;Comput.-Aided Des.,1978

4. Subdivision surfaces: a new paradigm for thin-shell finite-element analysis;Cirak;Internat. J. Numer. Methods Engrg.,2000

5. CHARMS: a simple framework for adaptive simulation;Grinspun;ACM Trans. Graph.,2002

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1. A comparison of smooth basis constructions for isogeometric analysis;Computer Methods in Applied Mechanics and Engineering;2024-02

2. Machine learning discovery of optimal quadrature rules for isogeometric analysis;Computer Methods in Applied Mechanics and Engineering;2023-11

3. An extended tuned subdivision scheme with optimal convergence for isogeometric analysis;Computer-Aided Design;2023-09

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

5. Almost-C1 splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems;Computer Methods in Applied Mechanics and Engineering;2023-01
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