A review of trimming in isogeometric analysis: challenges, data exchange and simulation aspects

B Marussig, TJR Hughes - Archives of computational methods in …, 2018 - Springer
We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …

Multi-patch isogeometric topology optimization for cellular structures with flexible designs using Nitsche's method

J Gao, X Wu, M Xiao, VP Nguyen, L Gao… - Computer Methods in …, 2023 - Elsevier
Cellular structures have recently been received a tremendous growth in discussions and
applications in the engineering due to their several fascinating structural properties, such as …

Analysis-suitable G1 multi-patch parametrizations for C1 isogeometric spaces

A Collin, G Sangalli, T Takacs - Computer Aided Geometric Design, 2016 - Elsevier
One key feature of isogeometric analysis is that it allows smooth shape functions. Indeed,
when isogeometric spaces are constructed from p-degree splines (and extensions, such as …

[HTML][HTML] Isogeometric analysis for multi-patch structured Kirchhoff–Love shells

A Farahat, HM Verhelst, J Kiendl, M Kapl - Computer Methods in Applied …, 2023 - Elsevier
We present an isogeometric method for Kirchhoff–Love shell analysis of shell structures with
geometries composed of multiple patches and which possibly possess extraordinary …

Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization

G Xu, M Li, B Mourrain, T Rabczuk, J Xu… - Computer Methods in …, 2018 - Elsevier
In this paper, we propose a general framework for constructing IGA-suitable planar B-spline
parameterizations from given complex CAD boundaries. Instead of the computational …

Multi-degree smooth polar splines: A framework for geometric modeling and isogeometric analysis

D Toshniwal, H Speleers, RR Hiemstra… - Computer Methods in …, 2017 - Elsevier
We develop a multi-degree polar spline framework with applications to both geometric
modeling and isogeometric analysis. First, multi-degree splines are introduced as piecewise …

Construction of analysis-suitable G1 planar multi-patch parameterizations

M Kapl, G Sangalli, T Takacs - Computer-Aided Design, 2018 - Elsevier
The construction of smooth surfaces of complex shapes is at the heart of computer-aided
design (CAD). Many different approaches generating C 1-smooth surfaces are available and …

An isogeometric C1 subspace on unstructured multi-patch planar domains

M Kapl, G Sangalli, T Takacs - Computer Aided Geometric Design, 2019 - Elsevier
Multi-patch spline parametrizations are used in geometric design and isogeometric analysis
to represent complex domains. Typically, quadrilateral patches are adopted in both …

Subdivision surfaces with isogeometric analysis adapted refinement weights

Q Zhang, M Sabin, F Cirak - Computer-Aided Design, 2018 - Elsevier
Subdivision surfaces provide an elegant isogeometric analysis framework for geometric
design and analysis of partial differential equations defined on surfaces. They are already a …

Smooth multi-patch discretizations in isogeometric analysis

TJR Hughes, G Sangalli, T Takacs… - Handbook of Numerical …, 2021 - Elsevier
With the aim of a seamless integration with Computer-Aided Design, Isogeometric Analysis
has been proposed by Hughes et al.(2005) as a numerical technique for the solution of …