Modified PHT-splines
Numerical Analysis
2019-04-18 v1
Abstract
The local refinement of PHT-splines (polynomial splines over hierarchical T-meshes) is achieved by a simple cross insertion, which may introduce superfluous control points or coefficients. By allowing split-in-half in mesh refinement, modified hierarchical T-meshes are defined. Using this approach, polynomial splines defined over the modified hierarchical T-meshes (modified PHT-splines) are introduced to increase the flexibility of PHT-splines. Numerical examples demonstrate the advantages of our new splines when applied to surface fitting and isogeometric analysis problems with anisotropic features.
Keywords
Cite
@article{arxiv.1904.08274,
title = {Modified PHT-splines},
author = {Qian Ni and Xuhui Wang and Jiansong Deng},
journal= {arXiv preprint arXiv:1904.08274},
year = {2019}
}
Comments
31 pages, 45 figures