Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis
type: Item
instance of: scholarly article
title: Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis
author: Ye Zheng
author: Falai Chen
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2022-11-11T00:00:00Z
Mathematics Subject Classification ID: 74S22
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65N35
zbMATH DE Number: 7615014
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: volumetric parameterization
zbMATH Keywords: truncated hierarchical splines
zbMATH Keywords: bounded distortion
zbMATH Keywords: geometrical energy
describes a project that uses: LargeScaleBD
describes a project that uses: Eigen
describes a project that uses: KNITRO
describes a project that uses: PARDISO
describes a project that uses: G+Smo
MaRDI profile type: Publication
full work available at URL: j.cma.2022.115662
OpenAlex ID: W4306161199
cites work: Isogeometric Analysis
cites work: Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis
cites work: Bounding the influence of domain parameterization and knot spacing on numerical stability in isogeometric analysis
cites work: Parameterization of Contractible Domains Using Sequences of Harmonic Maps
cites work: Volumetric spline parameterization for isogeometric analysis
cites work: THB-splines: The truncated basis for hierarchical splines
cites work: A mesh regularization scheme to update internal control points for isogeometric shape design optimization
cites work: Elliptic grid generation techniques in the framework of isogeometric analysis applications
cites work: Parameterization of computational domain in isogeometric analysis: methods and comparison
cites work: Planar Parametrization in Isogeometric Analysis
cites work: Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights
cites work: Planar domain parameterization for isogeometric analysis based on Teichmüller mapping
cites work: Low-rank parameterization of planar domains for isogeometric analysis
cites work: Constructing planar domain parameterization with HB-splines via quasi-conformal mapping
cites work: Volumetric parameterization and trivariate B-spline fitting using harmonic functions
cites work: Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method
cites work: High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods
cites work: Penalty function-based volumetric parameterization method for isogeometric analysis
cites work: Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA
cites work: Computing planar and volumetric B-spline parameterizations for IGA by robust mapping fitting
cites work: Two-dimensional domain decomposition based on skeleton computation for parameterization and isogeometric analysis
cites work: Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton
cites work: Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization
cites work: Computing IGA-suitable planar parameterizations by polysquare-enhanced domain partition
cites work: THB-splines multi-patch parameterization for multiply-connected planar domains via template segmentation
cites work: Constructing volumetric parameterization based on directed graph simplification of \(\ell_1\) polycube structure from complex shapes
cites work: Truncated hierarchical tricubic \(C^0\) spline construction on unstructured hexahedral meshes for isogeometric analysis applications
cites work: Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis
cites work: Analysis-suitable unstructured T-splines: multiple extraordinary points per face
cites work: Matched \(G^k\)-constructions always yield \(C^k\)-continuous isogeometric elements
cites work: Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces
cites work: Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations
cites work: Strong multipatch \(C^1\)-coupling for isogeometric analysis on 2D and 3D domains
cites work: \(C^s\)-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations
cites work: Geometrically smooth spline bases for data fitting and simulation
cites work: \(C^1\) isogeometric spline space for trilinearly parameterized multi-patch volumes
cites work: A new approach to solid modeling with trivariate T-splines based on mesh optimization
cites work: Solid T-spline construction from boundary representations for genus-zero geometry
cites work: Conformal solid T-spline construction from boundary T-spline representations
cites work: Spline parameterization method for 2D and 3D geometries based on T-mesh optimization
cites work: A trivariate T-spline based framework for modeling heterogeneous solids
cites work: Planar domain parameterization with THB-splines
cites work: Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications
cites work: Injective and bounded distortion mappings in 3D
cites work: Bijective parameterization with free boundaries
cites work: Regularization of the barrier variational method of grid generation
cites work: Q5491447
cites work: Interval arithmetic
cites work: Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
cites work: PARDISO: a high-performance serial and parallel sparse linear solver in semiconductor device simulation
cites work: Q5493572
DOI: 10.1016/J.CMA.2022.115662
description: scientific article; zbMATH DE number 7615014