Manifold-based B-splines on unstructured meshes

DOI10.1007/978-3-030-49836-8_12zbMath1493.65242arXiv1901.10759OpenAlexW3168280523MaRDI QIDQ1979764

Qiaoling Zhang, Thomas Takacs, Fehmi Cirak

Publication date: 3 September 2021

Full work available at URL: https://arxiv.org/abs/1901.10759

zbMATH Keywords

B-splinespartition of unityisogeometric analysismanifold-based basis functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computer-aided design (modeling of curves and surfaces) (65D17) PDEs on manifolds (35R01)

Related Items (2)

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

Cites Work

• Isogeometric spline forests
• Isogeometric boundary element analysis using unstructured T-splines
• \(C^{1}\) finite elements on non-tensor-product 2d and 3d manifolds
• Adaptively refined multi-patch B-splines with enhanced smoothness
• A construction of rational manifold surfaces of arbitrary topology and smoothness from triangular meshes
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• The partition of unity finite element method: basic theory and applications
• Modeling surfaces from meshes of arbitrary topology
• Unstructured spline spaces for isogeometric analysis based on spline manifolds
• Analysis-suitable \(G^1\) multi-patch parametrizations for \(C^1\) isogeometric spaces
• Manifold-based isogeometric analysis basis functions with prescribed sharp features
• Isogeometric analysis with geometrically continuous functions on planar multi-patch geometries
• Isogeometric analysis using manifold-based smooth basis functions
• Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis
• Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: geometric design and isogeometric analysis considerations
• Dimension and basis construction for analysis-suitable \(G^1\) two-patch parameterizations
• Subdivision surfaces
• Subdivision shells with exact boundary control and non-manifold geometry
• THE PARTITION OF UNITY METHOD
• Isogeometric Analysis
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