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 …
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 …
Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights
Parameterization of computational domains is a crucial step in isogeometric analysis (IGA).
Non-Uniform Rational B-Spline (NURBS) is a standard tool in the CAD/CAM industry due to …
Non-Uniform Rational B-Spline (NURBS) is a standard tool in the CAD/CAM industry due to …
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping
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 …
Splines parameterization of planar domains by physics-informed neural networks
The generation of structured grids on bounded domains is a crucial issue in the
development of numerical models for solving differential problems. In particular, the …
development of numerical models for solving differential problems. In particular, the …
Efficient matrix assembly in isogeometric analysis with hierarchical B-splines
M Pan, B Jüttler, A Mantzaflaris - Journal of Computational and Applied …, 2021 - Elsevier
Hierarchical B-splines that allow local refinement have become a promising tool for
developing adaptive isogeometric methods. Unfortunately, similar to tensor-product B …
developing adaptive isogeometric methods. Unfortunately, similar to tensor-product B …
h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis
Toric surface patches are a class of multi-sided surface patches that can represent multi-
sided domains without mesh degeneration. In this paper, we propose an improved …
sided domains without mesh degeneration. In this paper, we propose an improved …
PDE-Based Parameterisation Techniques for Planar Multipatch Domains
J Hinz, A Buffa - arXiv preprint arXiv:2307.06265, 2023 - arxiv.org
This paper presents a PDE-based parameterisation framework for addressing the planar
surface-to-volume (StV) problem of finding a valid description of the domain's interior given …
surface-to-volume (StV) problem of finding a valid description of the domain's interior given …
An approach to construct a three-dimensional isogeometric model from μ-CT scan data with an application to the bridge of a violin
S Marschke, L Wunderlich, W Ring, K Achterhold… - … Aided Geometric Design, 2020 - Elsevier
We present an algorithm to build a ready to use isogeometric model from scan data gained
by a μ-CT scan. Based on a three-dimensional multi-patch reference geometry, which …
by a μ-CT scan. Based on a three-dimensional multi-patch reference geometry, which …
Solving higher order PDEs with isogeometric analysis on implicit domains using weighted extended THB-splines
A Qarariyah, T Yang, J Deng - Computer Aided Geometric Design, 2019 - Elsevier
We study the numerical solution for higher order partial differential equations defined on
implicit domains. We represent isogeometric analysis on implicit domains and construct …
implicit domains. We represent isogeometric analysis on implicit domains and construct …