Globally structured 3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement
Numerical Analysis
2017-01-24 v3
Abstract
This paper addresses the linear independence of T-splines that correspond to refinements of three-dimensional tensor-product meshes. We give an abstract definition of analysis-suitability, and prove that it is equivalent to dual-compatibility, wich guarantees linear independence of the T-spline blending functions. In addition, we present a local refinement algorithm that generates analysis-suitable meshes and has linear computational complexity in terms of the number of marked and generated mesh elements.
Keywords
Cite
@article{arxiv.1505.05392,
title = {Globally structured 3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement},
author = {Philipp Morgenstern},
journal= {arXiv preprint arXiv:1505.05392},
year = {2017}
}
Comments
24 pages, 14 figures. Minor typos corrected and title changed. arXiv admin note: text overlap with arXiv:1407.6175