Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 280, Issue -, Pages 176-196Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2014.07.013
Keywords
T-spline; T-mesh; GB-spline; Analysis-suitable; Dual-compatible; Linear independence
Funding
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Science, ICT & Future Planning [2012R1A1A1006109]
- National Research Foundation of Korea [2012R1A1A1006109] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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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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