Trigonometric generalized T-splines
From MaRDI portal
Publication:741942
DOI10.1016/j.cma.2013.09.015zbMath1295.65012OpenAlexW2013755314MaRDI QIDQ741942
Dmitry Berdinsky, Cesare Bracco, Durkbin Cho, Min-Jae Oh, Tae-Wan Kim
Publication date: 16 September 2014
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2013.09.015
Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
On the dimension of Tchebycheffian spline spaces over planar T-meshes ⋮ Generalized T-splines and VMCR T-meshes ⋮ Spaces of generalized splines over T-meshes ⋮ Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems ⋮ A unified approach to construct generalized B-splines for isogeometric applications ⋮ Generalized B-Splines in Isogeometric Analysis ⋮ Generalized spline spaces over T-meshes: dimension formula and locally refined generalized B-splines ⋮ Isogeometric collocation methods with generalized B-splines ⋮ On the approximation power of generalized T-splines ⋮ Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis ⋮ Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis ⋮ Parametric mesh regularization for interpolatory shape design and isogeometric analysis over a mesh of arbitrary topology ⋮ Rectified unstructured T-splines with dynamic weighted refinement for improvement in geometric consistency and approximation convergence ⋮ Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth ⋮ A practical method for computing with piecewise Chebyshevian splines
Cites Work
- Analysis-suitable T-splines are dual-compatible
- On linear independence of T-spline blending functions
- Generalized B-splines as a tool in isogeometric analysis
- How to build all Chebyshevian spline spaces good for geometric design?
- Isogeometric analysis in electromagnetics: B-splines approximation
- Isogeometric analysis using T-splines
- Linear independence of the T-spline blending functions associated with some particular T-meshes
- On recursions for generalized splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Unified and extended form of three types of splines
- \(GB\)-splines of arbitrary order
- Nuat B-spline curves
- On a class of weak Tchebycheff systems
- ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES
- Isogeometric Analysis
