Quadrilateral and hexahedral mesh generation based on surface foliation theory

DOI10.1016/j.cma.2016.09.044zbMath1439.65214OpenAlexW2534784183MaRDI QIDQ2308993

Yu-Yao Lin, Na Lei, Xiaopeng Zheng, Jian Jiang, David Xianfeng Gu

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2016.09.044

zbMATH Keywords

foliationStrebel differentialquadrilateral meshhexahedral mesh

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Computer-aided design (modeling of curves and surfaces) (65D17) Differentials on Riemann surfaces (30F30)

Related Items (6)

Quadrilateral mesh generation. II: Meromorphic quartic differentials and Abel-Jacobi condition ⋮ Feature-aware reconstruction of trimmed splines using Ricci flow with metric optimization ⋮ Towards untrimmed NURBS: CAD embedded reparameterization of trimmed B-rep geometry using frame-field guided global parameterization ⋮ Quadratic splines on quad-tri meshes: construction and an application to simulations on watertight reconstructions of trimmed surfaces ⋮ Computational generation and conformal fabrication of woven fabric structures by harmonic foliation ⋮ Quadrilateral and hexahedral mesh generation based on surface foliation theory. II

Uses Software

• TetGen
• CubeCover

Cites Work

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• Isogeometric Analysis
• ON THE EXISTENCE OF JENKINS–STREBEL DIFFERENTIALS
• TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator

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