Space of \(C^2\)-smooth geometrically continuous isogeometric functions on two-patch geometries
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Publication:2013703
DOI10.1016/j.camwa.2016.10.014zbMath1368.65023OpenAlexW2552580378MaRDI QIDQ2013703
Publication date: 9 August 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.10.014
geometric continuityisogeometric analysistriharmonic equationsecond order continuitygeometrically continuous isogeometric functions
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (13)
\(C^1\) isogeometric spline space for trilinearly parameterized multi-patch volumes ⋮ Isogeometric analysis with strong multipatch \(C^{1}\)-coupling ⋮ Space of \(C^2\)-smooth geometrically continuous isogeometric functions on planar multi-patch geometries: dimension and numerical experiments ⋮ Isogeometric collocation on planar multi-patch domains ⋮ Strong multipatch \(C^1\)-coupling for isogeometric analysis on 2D and 3D domains ⋮ Almost-\(C^1\) splines: biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems ⋮ 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 ⋮ Kansa RBF collocation method with auxiliary boundary centres for high order BVPs ⋮ \(C^s\)-smooth isogeometric spline spaces over planar bilinear multi-patch parameterizations ⋮ Quadratic splines on quad-tri meshes: construction and an application to simulations on watertight reconstructions of trimmed surfaces ⋮ Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations
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