Journal Article10.1016/J.CMA.2014.10.004
Variationally consistent domain integration for isogeometric analysis
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TL;DR: In this work, variationally consistent domain integration is proposed for isogeometric analysis, which allows for significant reduction in the number of quadrature points employed while maintaining the stability, accuracy, and optimal convergence properties of higher-order quadratures rules.
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About: This article is published in Computer Methods in Applied Mechanics and Engineering. The article was published on 01 Feb 2015. The article focuses on the topics: Gauss–Kronrod quadrature formula & Tanh-sinh quadrature.
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References
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
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•Book
Isogeometric Analysis: Toward Integration of CAD and FEA
J. Austin Cottrell,Thomas J. R. Hughes,Yuri Bazilevs +2 more
- 15 Sep 2009
TL;DR: Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique.
3K
A stabilized conforming nodal integration for Galerkin mesh-free methods
TL;DR: In this paper, a strain smoothing stabilization for nodal integration is proposed to eliminate spatial instability in nodal integrations, where an integration constraint is introduced as a necessary condition for a linear exactness in the mesh-free Galerkin approximation.
1.3K
Isogeometric analysis using T-splines
Yuri Bazilevs,Victor M. Calo,J. A. Cottrell,John A. Evans,Thomas J. R. Hughes,S. Lipton,Michael A. Scott,Thomas W. Sederberg +7 more
TL;DR: T-splines, a generalization of NURBS enabling local refinement, have been explored as a basis for isogeometric analysis in this paper, and they have shown good results on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases.
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