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TCB-spline-based isogeometric analysis method with high-quality parameterizations (Q2138795)

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Language	Label	Description	Also known as
English	TCB-spline-based isogeometric analysis method with high-quality parameterizations	scientific article

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scholarly article

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TCB-spline-based isogeometric analysis method with high-quality parameterizations (English)

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Yongjie Jessica Zhang

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Computer Methods in Applied Mechanics and Engineering

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publication date

12 May 2022

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zbMATH Keywords

TCB-splines

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parameterization

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isogeometric analysis

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2022.114771

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Isogeometric Analysis

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Isogeometric shell analysis with Kirchhoff-Love elements

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Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow

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Isogeometric analysis using T-splines

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Adaptive isogeometric analysis by local \(h\)-refinement with T-splines

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Isogeometric analysis using T-splines on two-patch geometries

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Rotation-free isogeometric thin shell analysis using PHT-splines

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Isogeometric analysis using LR B-splines

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A hierarchical approach to adaptive local refinement in isogeometric analysis

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Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines

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Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems

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Isogeometric analysis based on extended Loop's subdivision

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Extended truncated hierarchical Catmull-Clark subdivision

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Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis

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Bounding the influence of domain parameterization and knot spacing on numerical stability in isogeometric analysis

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Parameterization of computational domain in isogeometric analysis: methods and comparison

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Planar Parametrization in Isogeometric Analysis

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Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method

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Planar domain parameterization for isogeometric analysis based on Teichmüller mapping

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Planar domain parameterization with THB-splines

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Spline parameterization method for 2D and 3D geometries based on T-mesh optimization

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Two-dimensional domain decomposition based on skeleton computation for parameterization and isogeometric analysis

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Computing IGA-suitable planar parameterizations by polysquare-enhanced domain partition

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

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Solid T-spline construction from boundary representations for genus-zero geometry

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Continuity and convergence in rational triangular Bézier spline based isogeometric analysis

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Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines

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Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations

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A finite element framework based on bivariate simplex splines on triangle configurations

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Discrete Coons patches

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Parameterization of Contractible Domains Using Sequences of Harmonic Maps

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Low-rank parameterization of planar domains for isogeometric analysis

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Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA

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Computing planar and volumetric B-spline parameterizations for IGA by robust mapping fitting

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Constructing volumetric parameterization based on directed graph simplification of \(\ell_1\) polycube structure from complex shapes

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Blossoming Begets B-Spline Bases Built Better by B-Patches

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Quadratic and cubic b-splines by generalizing higher-order voronoi diagrams

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Bivariate B-splines from convex configurations

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Surface reconstruction using simplex splines on feature-sensitive configurations

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Centroidal Voronoi Tessellations: Applications and Algorithms

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Least squares quantization in PCM

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Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations

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Generalized barycentric coordinates and applications

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A rational finite element basis

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Mean value coordinates

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Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights

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The Stable Evaluation of Multivariate Simplex Splines

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Identifiers

10.1016/j.cma.2022.114771

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2138795

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