G1-smooth planar parameterization of complex domains for isogeometric analysis

M Pan, R Zou, W Tong, Y Guo, F Chen - Computer Methods in Applied …, 2023 - Elsevier
The construction of high-quality parameterizations for complex domains remains a
significant challenge in isogeometric analysis. To address this issue, we propose a G 1 …

Treatment of polar grid singularities in the bi-cubic Hermite-Bézier approximations: isoparametric finite element framework

A Bhole, B Nkonga, S Pamela, G Huijsmans… - Journal of …, 2022 - Elsevier
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 …

High‐order isogeometric modified method of characteristics for two‐dimensional coupled Burgers' equations

I Asmouh, M El‐Amrani, M Seaid… - International Journal for …, 2022 - Wiley Online Library
This paper presents a novel isogeometric modified method of characteristics for the
numerical solution of the two‐dimensional nonlinear coupled Burgers' equations. The …

Isogeometric-based cross-sectional analysis of pre-twisted composite beams

E Ghafari, J Rezaeepazhand - Thin-Walled Structures, 2020 - Elsevier
This paper is intended to investigate the static behavior of pre-twisted composite beams
using an isogeometric-based cross-sectional analysis. The three-dimensional pre-twisted …

[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 …

Discontinuous Galerkin isogeometric analysis for elliptic problems with discontinuous diffusion coefficients on surfaces

SE Moore - Numerical Algorithms, 2020 - Springer
This paper is concerned with using discontinuous Galerkin isogeometric analysis (dG-IGA)
as a numerical treatment of diffusion problems on orientable surfaces Ω⊂ ℝ 3 Ω⊂R^3. The …

A H1-integrability condition of surfaces with singular parametrizations in isogeometric analysis

M Wu, X Wang - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
Singularities of a surface's geometric mapping (or parametrization) are often unavoidable,
especially when a complex surface is considered. In isogeometric analysis, singularities …

Treatment of Polar Grid Singularities in the Bi-Cubic Hermite-Bézier Approximations: Isogeometric Finite Element Framework

A Bhole, B Nkonga, S Pamela, G Huijsmans… - Available at SSRN … - papers.ssrn.com
We propose a numerical treatment for the geometric singularity at the polar grid center
encountered in the application of the isoparametric bi-cubic Hemite Bezier finite element …

Suitable for the construction of degenerate smooth interpolated surfaces patches in isogeometric analysis

W Xuhui, YAN Mingye, WU Meng - JUSTC, 2020 - just.ustc.edu.cn
Different from constructing the degenerate smooth surface patches in the field of classical
geometric modeling, the paper constructs an interpolation operator based on the singular …

Numerical Solution for Schrödinger Eigenvalue Problem Using Isogeometric Analysis on Implicit Domains

A Qarariyah, F Deng, T Yang, J Deng - Communications in Mathematics …, 2020 - Springer
We study the accuracy and performance of isogeometric analysis on implicit domains when
solving time-independent Schrödinger equation. We construct weighted extended PHT …