Generating high-quality high-order parameterization for isogeometric analysis on triangulations

DOI10.1016/j.cma.2018.04.011zbMath1440.65235OpenAlexW2799570489WikidataQ129963072 ScholiaQ129963072MaRDI QIDQ1986187

Songtao Xia, Xiao-ping Qian

Publication date: 8 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.2018.04.011

zbMATH Keywords

isogeometric analysisdomain parameterizationhigh-order elements\( C^r\) smoothnesstriangular Bézier splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) 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)

Related Items (6)

Generalized \(C^1\) Clough-Tocher splines for CAGD and FEM ⋮ Feature-preserving rational Bézier triangles for isogeometric analysis of higher-order gradient damage models ⋮ Tangled finite element method for handling concave elements in quadrilateral meshes ⋮ A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements ⋮ Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions ⋮ Mesh quality metrics for isogeometric Bernstein-Bézier discretizations

Uses Software

• ISOGAT

Cites Work

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