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Generalized T-splines and VMCR T-meshes
- Authors
- Bracco, Cesare; Cho, Durkbin
- Issue Date
- 1-Oct-2014
- Publisher
- ELSEVIER SCIENCE SA
- Keywords
- T-spline; T-mesh; GB-spline; Analysis-suitable; Dual-compatible; Linear independence
- Citation
- COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.280, pp 176 - 196
- Pages
- 21
- Indexed
- SCI
SCIE
SCOPUS
- Volume
- 280
- Start Page
- 176
- End Page
- 196
- ISSN
- 0045-7825
1879-2138
- 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 cart 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. (C) 2014 Elsevier B.V. All rights reserved.
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Related Researcher
- Cho, Durk Bin
- College of Natural Science (Department of Mathematics)