Generalized spline spaces over T-meshes: dimension formula and locally refined generalized B-splines
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Publication:668355
DOI10.1016/j.amc.2015.08.019zbMath1410.65027OpenAlexW1615836229MaRDI QIDQ668355
Hendrik Speleers, Tom Lyche, Carla Manni, Cesare Bracco, Fabio Roman
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.019
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Cites Work
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- A hierarchical approach to adaptive local refinement in isogeometric analysis
- THB-splines: The truncated basis for hierarchical splines
- Strongly stable bases for adaptively refined multilevel spline spaces
- Isogeometric analysis using LR B-splines
- Quasi-interpolation in isogeometric analysis based on generalized B-splines
- Generalized B-splines as a tool in isogeometric analysis
- How to build all Chebyshevian spline spaces good for geometric design?
- Isogeometric analysis in advection-diffusion problems: Tension splines approximation
- On the instability in the dimension of splines spaces over T-meshes
- Approximation power of polynomial splines on \(T\)-meshes
- Trigonometric generalized T-splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Effortless quasi-interpolation in hierarchical spaces
- Unified and extended form of three types of splines
- A recurrence relation for Chebyshevian B-splines
- Generalized T-splines and VMCR T-meshes
- \(GB\)-splines of arbitrary order
- Critical length for design purposes and extended Chebyshev spaces
- On Hermite interpolation with polynomial splines on T-meshes
- Polynomial splines over locally refined box-partitions
- Curve and surface construction using variable degree polynomial splines
- Nuat B-spline curves
- Dimensions of spline spaces over T-meshes
- On a class of weak Tchebycheff systems
- On the dimension of spline spaces on planar T-meshes
- Isogeometric Analysis
- Local Hierarchical h-Refinements in IgA Based on Generalized B-Splines
- Analysis-suitable T-splines: Characterization, refineability, and approximation
- Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang
- Shape preserving alternatives to the rational Bézier model
- A practical guide to splines.
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