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 language | English |
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Pages (from-to) | 176-196 |
Number of pages | 21 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 280 |
DOIs | |
State | Published - 1 Oct 2014 |
Keywords
- Analysis-suitable
- Dual-compatible
- GB-spline
- Linear independence
- T-mesh
- T-spline