Quadratic splines on quad-tri meshes: construction and an application to simulations on watertight reconstructions of trimmed surfaces
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Publication:2060078
DOI10.1016/j.cma.2021.114174OpenAlexW3205690692MaRDI QIDQ2060078
Publication date: 13 December 2021
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.2021.114174
optimal approximationisogeometric analysistrimmed surfacesanalysis-suitable splinesquadrilateral-triangle meshes
Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items (6)
An optimally convergent smooth blended B-spline construction for semi-structured quadrilateral and hexahedral meshes ⋮ Almost-\(C^1\) splines: biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems ⋮ \(C^1\)-smooth isogeometric spline functions of general degree over planar mixed meshes: the case of two quadratic mesh elements ⋮ Rational reparameterization of unstructured quadrilateral meshes for isogeometric analysis with optimal convergence ⋮ A comparison of smooth basis constructions for isogeometric analysis ⋮ Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout
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