Generalized T-splines and VMCR T-meshes

Cesare Bracco, Durkbin Cho

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The paper considers the extension of the T-spline approach to the Generalized B-splines (GB-splines), a relevant class of non-polynomial splines. The Generalized T-splines (GT-splines) are based both on the framework of classical polynomial T-splines and on the Trigonometric GT-splines (TGT-splines), a particular case of GT-splines. Our study of GT-splines introduces a class of T-meshes (named VMCR T-meshes) for which both the corresponding GT-splines and the corresponding polynomial T-splines are linearly independent. A practical characterization can be given for a sub-class of VMCR T-meshes, which we refer to as weakly dual-compatible T-meshes, which properly includes the class of dual-compatible (equivalently, analysis-suitable) T-meshes for an arbitrary (polynomial) order.

Original languageEnglish
Pages (from-to)176-196
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Volume280
DOIs
StatePublished - 1 Oct 2014

Keywords

  • Analysis-suitable
  • Dual-compatible
  • GB-spline
  • Linear independence
  • T-mesh
  • T-spline

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