An immersed-isogeometric model: application to linear elasticity and implementation with THBox-splines

DOI10.1016/j.cam.2018.09.027zbMath1451.74217OpenAlexW2892576153WikidataQ129198513 ScholiaQ129198513MaRDI QIDQ1713123

Hendrik Speleers, Francesca Pelosi, Carlotta Giannelli, Tadej Kanduc

Publication date: 24 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.09.027

zbMATH Keywords

linear elasticityimmersed boundary methodlocal refinementbox splinesisogeometric analysisweak boundary conditionstruncated hierarchical splines

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Isogeometric methods applied to problems in solid mechanics (74S22)

Related Items (6)

SMART 2017. Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in Italy ⋮ Quadratic splines on quad-tri meshes: construction and an application to simulations on watertight reconstructions of trimmed surfaces ⋮ Dual fat boundary method: the fat boundary method in elasticity with an extension of the application scope ⋮ DPB-splines: the decoupled basis of patchwork splines ⋮ Completeness characterization of type-I box splines ⋮ Using High-Order Transport Theorems for Implicitly Defined Moving Curves to Perform Quadrature on Planar Domains

Uses Software

• Matlab

Cites Work

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• Matlab implementation of the finite element method in elasticity
• THB-splines: The truncated basis for hierarchical splines
• Strongly stable bases for adaptively refined multilevel spline spaces
• Immersed b-spline (i-spline) finite element method for geometrically complex domains
• Effortless quasi-interpolation in hierarchical spaces
• Box splines
• Direct immersogeometric fluid flow analysis using B-rep CAD models
• A review of a posteriori error estimation techniques for elasticity problems
• Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
• Adaptive isogeometric analysis with hierarchical box splines
• Inner products of box splines and their derivatives
• Rapid B-rep model preprocessing for immersogeometric analysis using analytic surfaces
• Adaptively refined multilevel spline spaces from generating systems
• Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
• A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes
• Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches
• Isogeometric Analysis

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