Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA

DOI10.1016/j.cagd.2020.101853zbMath1505.65077OpenAlexW3019097473MaRDI QIDQ2180627

Xiao-Ming Fu, Hao Liu, Yang Yang, Yuan Liu

Publication date: 14 May 2020

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2020.101853

zbMATH Keywords

simultaneous optimizationbijectiveisogeometric analysislow distortionvolumetric domain parameterizations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

Penalty function-based volumetric parameterization method for isogeometric analysis ⋮ TCB-spline-based isogeometric analysis method with high-quality parameterizations ⋮ On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration ⋮ Curvature-based \(r\)-adaptive isogeometric analysis with injectivity-preserving multi-sided domain parameterization ⋮ Boundary correspondence for iso-geometric analysis based on deep learning ⋮ Computing planar and volumetric B-spline parameterizations for IGA by robust mapping fitting ⋮ Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights ⋮ Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis

Uses Software

• LargeScaleBD

Cites Work

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