Geometrically smooth spline bases for data fitting and simulation
A Blidia, B Mourrain, G Xu - Computer Aided Geometric Design, 2020 - Elsevier
Given a topological complex M with glueing data along edges shared by adjacent faces, we
study the associated space of geometrically smooth spline functions that satisfy …
study the associated space of geometrically smooth spline functions that satisfy …
Treatment of polar grid singularities in the bi-cubic Hermite-Bézier approximations: isoparametric finite element framework
We propose a numerical treatment for the geometric singularity at the polar grid center
encountered in the application of the isoparametric bi-cubic Hermite Bézier finite element …
encountered in the application of the isoparametric bi-cubic Hermite Bézier finite element …
Improved aerofoil parameterisation based on class/shape function transformation
W He, X Liu - The Aeronautical Journal, 2019 - cambridge.org
A new aerofoil parameterisation method is put forward to represent an aerofoil by combining
the leading edge modification class/shape function transformation (LEM CST) method and …
the leading edge modification class/shape function transformation (LEM CST) method and …
[HTML][HTML] Isogeometric analysis on implicit domains using weighted extended PHT-splines
A Qarariyah, F Deng, T Yang, Y Liu, J Deng - Journal of Computational and …, 2019 - Elsevier
The urging quest for diminishing the gap between finite element methods and computer-
aided design is growing every day. Isogeometric analysis is driving that search a step …
aided design is growing every day. Isogeometric analysis is driving that search a step …
Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis
In this paper, we present convergence rates for solving elliptic boundary value problems
with singular parameterizations in isogeometric analysis. First, the approximation errors with …
with singular parameterizations in isogeometric analysis. First, the approximation errors with …
Analysis-aware modelling of spacial curve for isogeometric analysis of Timoshenko beam
Y Xia, L Deng, J Zhao - Computer Modeling in Engineering & …, 2020 - ingentaconnect.com
Geometric fitting based on discrete points to establish curve structures is an important
problem in numerical modeling. The purpose of this paper is to investigate the geometric …
problem in numerical modeling. The purpose of this paper is to investigate the geometric …
Flux-aligned quad mesh generation in magnetohydrodynamic simulation
Flux-aligned mesh generation plays an important role in the magnetohydrodynamic (MHD)
simulation of Tokamak plasmas. In this paper, we present the existence theory of flux …
simulation of Tokamak plasmas. In this paper, we present the existence theory of flux …
等几何分析中的复杂物理区域投影算子及误差分析
胡丹丹， 王旭辉， 吴梦 - 计算机辅助设计与图形学学报, 2019 - jcad.cn
针对等几何分析中复杂物理区域上的偏微分方程求解问题, 提出了多片参数域上双三次样条投影
映射的方法. 首先基于多片参数化, 构造了复杂物理域上的一个投影映射; 其次对于物理域上的 …
映射的方法. 首先基于多片参数化, 构造了复杂物理域上的一个投影映射; 其次对于物理域上的 …
Projection operators and error analysis of complex physical domains in isogeometric analysis
D Hu, X Wang, M Wu - Journal of Computer-Aided Design & Computer …, 2019 - jcad.cn
For solving partial differential equations (PDEs) on complex physical regions in isogeometric
analysis (IGA), a method of bicubic spline projection mapping on multi-parameter domains is …
analysis (IGA), a method of bicubic spline projection mapping on multi-parameter domains is …
[PDF][PDF] 适用于等几何分析退化光滑插值曲面片构造
王旭辉， 燕明叶， 吴梦 - 中国科学技术大学学报, 2020 - just.ustc.edu.cn
适用于等几何分析退化光滑插值曲面片构造 Page 1 第50卷第3期 Vol.50,No.3 2020年3月
JOURNALOFUNIVERSITYOFSCIENCEANDTECHNOLOGYOFCHINA Mar.2020 文章编号:0253-2778(2020)03-0335-08 …
JOURNALOFUNIVERSITYOFSCIENCEANDTECHNOLOGYOFCHINA Mar.2020 文章编号:0253-2778(2020)03-0335-08 …