Bézier tilings of the sphere and their applications in benchmarking multipatch isogeometric methods
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Publication:2310848
DOI10.1016/j.cma.2017.12.013zbMath1439.65027OpenAlexW2775866994WikidataQ117221251 ScholiaQ117221251MaRDI QIDQ2310848
Sander Dedoncker, Laurens Coox, Francesco Greco, Wim Desmet, Florian Paul Robert Maurin
Publication date: 7 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://lirias.kuleuven.be/handle/123456789/607807
Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (3)
Isogeometric Bézier dual mortaring: the Kirchhoff-Love shell problem ⋮ Isogeometric continuity constraints for multi-patch shells governed by fourth-order deformation and phase field models ⋮ Exact sphere representations over Platonic solids based on rational multisided Bézier patches
Cites Work
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- Local refinement of analysis-suitable T-splines
- Acoustic isogeometric boundary element analysis
- Isogeometric analysis using T-splines
- Robustness of isogeometric structural discretizations under severe mesh distortion
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- Isogeometric shell analysis with Kirchhoff-Love elements
- The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches
- An algebraic approach to curves and surfaces on the sphere and on other quadrics
- Bounding the influence of domain parameterization and knot spacing on numerical stability in isogeometric analysis
- Free vibrations of thin elastic spherical shells
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Anisohedral spherical triangles and classification of spherical tilings by congruent kites, darts and rhombi
- Isogeometric analysis of structural vibrations
- Stress projection for membrane and shear locking in shell finite elements
- The spectrum of free vibrations of a thin elastic spherical shell
- Rational patches on quadric surfaces
- Truncated hierarchical Catmull-Clark subdivision with local refinement
- Fast isogeometric boundary element method based on independent field approximation
- Nitsche's method for a coupling of isogeometric thin shells and blended shell structures
- The mortar finite element method with Lagrange multipliers
- Isogeometric analysis: an overview and computer implementation aspects
- On penalty-free formulations for multipatch isogeometric Kirchhoff-Love shells
- B++ splines with applications to isogeometric analysis
- Bloch theorem for isogeometric analysis of periodic problems governed by high-order partial differential equations
- A new rotation-free isogeometric thin shell formulation and a corresponding continuity constraint for patch boundaries
- Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth
- An isogeometric indirect boundary element method for solving acoustic problems in open-boundary domains
- A robust patch coupling method for NURBS-based isogeometric analysis of non-conforming multipatch surfaces
- A flexible approach for coupling NURBS patches in rotationless isogeometric analysis of Kirchhoff-Love shells
- Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines
- Nitsche's method for two and three dimensional NURBS patch coupling
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- The finite element method with Lagrangian multipliers
- The weak substitution method - an application of the mortar method for patch coupling in NURBS-based isogeometric analysis
- The Finite Element Method with Penalty
- Isogeometric Analysis
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
- On Vibrations of Elastic Spherical Shells
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