Space of \(C^2\)-smooth geometrically continuous isogeometric functions on planar multi-patch geometries: dimension and numerical experiments

DOI10.1016/j.camwa.2017.03.011zbMath1373.65013arXiv1701.06753OpenAlexW2581143120MaRDI QIDQ2403838

Mario Kapl, Vito Vitrih

Publication date: 12 September 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06753

zbMATH Keywords

algorithmnumerical experimentgeometric continuityisogeometric analysisspline surfacesecond-order continuitymulti-patchtriharmonic equationgeometrically continuous isogeometric functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (10)

\(C^1\) isogeometric spline space for trilinearly parameterized multi-patch volumes ⋮ Isogeometric analysis with strong multipatch \(C^{1}\)-coupling ⋮ Isogeometric collocation on planar multi-patch domains ⋮ Construction of \(C^1\) polygonal splines over quadrilateral partitions ⋮ Rational reparameterization of unstructured quadrilateral meshes for isogeometric analysis with optimal convergence ⋮ Approximation power of \(C^1\)-smooth isogeometric splines on volumetric two-patch domains ⋮ Approximately \(\mathcal{C}^1\) -smooth isogeometric functions on two-patch domains ⋮ Dimension and basis construction for \(C^2\)-smooth isogeometric spline spaces over bilinear-like \(G^2\) two-patch parameterizations ⋮ Solving the triharmonic equation over multi-patch planar domains using isogeometric analysis ⋮ \(C^s\)-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations

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