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On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration
Constructing an analysis-suitable parameterization for the computational domain from its
boundary representation plays a crucial role in the isogeometric design-through-analysis …
boundary representation plays a crucial role in the isogeometric design-through-analysis …
G1-smooth planar parameterization of complex domains for isogeometric analysis
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 …
significant challenge in isogeometric analysis. To address this issue, we propose a G 1 …
On the use of elliptic PDEs for the parameterisation of planar multipatch domains: Part 1: Numerical algorithms and foundations of parametric control
J Hinz, A Buffa - Engineering with Computers, 2024 - Springer
This paper presents a parameterisation framework based on (inverted) elliptic PDEs for
addressing the planar parameterisation problem of finding a valid description of the …
addressing the planar parameterisation problem of finding a valid description of the …
Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field
Isogeometric analysis is an innovative numerical paradigm with the potential to bridge the
gap between Computer-Aided Design and Computer-Aided Engineering. However …
gap between Computer-Aided Design and Computer-Aided Engineering. However …
Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis
Y Zheng, F Chen - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
Constructing spline parameterizations for computational domains is one of the fundamental
problems in isogeometric analysis. In this paper, we present an efficient method for …
problems in isogeometric analysis. In this paper, we present an efficient method for …
Boundary parameter matching for isogeometric analysis using Schwarz–Christoffel map**
Isogeometric analysis has brought a paradigm shift in integrating computational simulations
with geometric designs across engineering disciplines. This technique necessitates analysis …
with geometric designs across engineering disciplines. This technique necessitates analysis …
Constructing planar domain parameterization with HB-splines via quasi-conformal map**
M Pan, F Chen - Computer Aided Geometric Design, 2022 - Elsevier
Constructing a high-quality parameterization of a computational domain is a fundamental
research problem in isogeometric analysis, which has been extensively investigated so far …
research problem in isogeometric analysis, which has been extensively investigated so far …
A hybrid isogeometric collocation method on implicitly trimmed domains
J Yang, P Zhou, L Lan, CG Zhu - Computer Methods in Applied Mechanics …, 2025 - Elsevier
We propose a novel isogeometric collocation method (IGA-C) for trimmed domains, using
weighted extended B-splines (WEB-splines). Our approach employs the implicit …
weighted extended B-splines (WEB-splines). Our approach employs the implicit …
[PDF][PDF] Degree elevation and knot insertion for generalized Bézier surfaces and their application to isogeometric analysis
Generalized Bézier surfaces are a multi-sided generalization of classical tensor product
Bézier surfaces with a simple control structure and inherit most of the appealing properties …
Bézier surfaces with a simple control structure and inherit most of the appealing properties …
Sufficient condition for injectivity of NURBS volumes by tangent cones
NURBS method is the standard mathematical method for describing the shapes of
curves/surfaces/volumes, and it is extensively used in computer-aided design, computer …
curves/surfaces/volumes, and it is extensively used in computer-aided design, computer …