Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods

L Chen, C Lu, H Lian, Z Liu, W Zhao, S Li… - Computer Methods in …, 2020 - Elsevier
This paper presents an acoustic topology optimization approach using isogeometric
boundary element methods based on subdivision surfaces to optimize the distribution of …

Seamless integration of computer-aided geometric modeling and acoustic simulation: Isogeometric boundary element methods based on Catmull-Clark subdivision …

LL Chen, Y Zhang, H Lian, E Atroshchenko… - … in Engineering Software, 2020 - Elsevier
Isogeometric boundary element method is a computer simulation algorithm that can directly
utilize the data of a geometric model represented by its surface. Catmull-Clark subdivision …

Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout

Z Wen, MS Faruque, X Li, X Wei, H Casquero - Computer Methods in …, 2023 - Elsevier
G-splines are a generalization of B-splines that deals with extraordinary points by imposing
G 1 constraints across their spoke edges, thus obtaining a continuous tangent plane …

An isogeometric design-analysis-optimization workflow of stiffened thin-walled structures via multilevel NURBS-based free-form deformations (MNFFD)

P Hao, Y Wang, L Jin, S Ma, B Wang - Computer Methods in Applied …, 2023 - Elsevier
Stiffened thin-walled structures are widely used in various fields as load-carrying
components, but the process of design, analysis and optimization still remains challenging …

Acoustic shape optimization based on isogeometric boundary element method with subdivision surfaces

C Lu, L Chen, J Luo, H Chen - Engineering Analysis with Boundary …, 2023 - Elsevier
This study proposes a new acoustic shape optimization approach by combining
isogeometric subdivision surfaces with the boundary element method. The geometry of the …

A novel hybrid IGA-EIEQ numerical method for the Allen–Cahn/Cahn–Hilliard equations on complex curved surfaces

Q Pan, C Chen, YJ Zhang, X Yang - Computer Methods in Applied …, 2023 - Elsevier
We present an efficient fully discrete algorithm for solving the Allen–Cahn and Cahn–Hilliard
equations on complex curved surfaces. The spatial discretization employs the recently …

[HTML][HTML] A comparison of smooth basis constructions for isogeometric analysis

HM Verhelst, P Weinmüller, A Mantzaflaris… - Computer Methods in …, 2024 - Elsevier
In order to perform isogeometric analysis with increased smoothness on complex domains,
trimming, variational coupling or unstructured spline methods can be used. The latter two …

The subdivision-based IGA-EIEQ numerical scheme for the binary surfactant Cahn–Hilliard phase-field model on complex curved surfaces

Q Pan, C Chen, T Rabczuk, J Zhang, X Yang - Computer Methods in …, 2023 - Elsevier
In this paper, we consider numerical approximations of the binary surfactant phase-field
model on complex surfaces. Consisting of two nonlinearly coupled Cahn–Hilliard type …

Subdivision-based isogeometric analysis for second order partial differential equations on surfaces

Q Pan, T Rabczuk, X Yang - Computational Mechanics, 2021 - Springer
We investigate the isogeometric analysis approach based on the extended Catmull–Clark
subdivision for solving the PDEs on surfaces. As a compatible technique of NURBS …

Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications

J Xie, J Xu, Z Dong, G Xu, C Deng, B Mourrain… - … Aided Geometric Design, 2020 - Elsevier
Volumetric modeling is an important topic for material modeling and isogeometric
simulation. In this paper, two kinds of interpolatory Catmull-Clark volumetric subdivision …