Local refinement of analysis-suitable T-splines

By Michael A. Scott, Xin Li, Thomas W. Sederberg, Thomas J. R. Hughes. 2012

411 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/61e3879925db9f31eea4662707baec437cddcd44

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In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Isogeometric collocation using analysis-suitable T-splines of arbitrary degree (2016, methodology): “Relevant advances have been carried out since then: mathematical background of T-splines has been studied [52, 53, 54, 55], several procedures to create volumetric T-splines have been designed [56, 57, 58, 59, 60], the conversion of a trimmed NURBS surface to an untrimmed T-spline surface was tackle”
Mathematical analysis of variational isogeometric methods* (2014, methodology): “Section 7.3 deals with the previously mentioned AS T-splines (from Scott et al. 2012 and Beirão da Veiga et al. 2013a), in two dimensions.”
Phase‐field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy (2015, positive): “However, recent advances in T-splines [51] and hierarchical B-splines [52] alleviate the rigidity of these methods and may soon become accessible in 3D [53].”
Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials (2015, background): “T-splines enable local refinement and coarsening [19, 69], which is more flexible so that the new parameterization of the leaflet avoids the small, degenerated NURBS elements used in [67] near the commissure points.”
THB-splines: The truncated basis for hierarchical splines (2012, background): “In particular, the linear independence of the T–spline blending functions can be guaranteed only by considering a restricted subset of T– splines [1, 13, 16].”
A phase-field description of dynamic brittle fracture (2012, methodology): “This load condition is such that crack branching will occur (see Song, Wang, and Belytschko (2008) for a report of results for this problem using several other methods of dynamic fracture analysis).”
Isogeometric contact: a review (2014, methodology): “…the scope of this contribution, the most developed techniques at the current state of research are analysis-suitable T-splines (Bazilevs et al 2010, Scott et al. 2012), hierarchical B-splines (Vuong et al. 2011, Schillinger et al. 2012) and the recently proposed isogeometric spline forests (Scott…”
An Isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces (2012, background): “However, in a recent work, an effective T-spline local refinement algortihm has been developed [30].”