Standard and Non-standard CAGD Tools for Isogeometric Analysis: A Tutorial
From MaRDI portal
Publication:2963036
DOI10.1007/978-3-319-42309-8_1zbMath1356.65052OpenAlexW2524447942MaRDI QIDQ2963036
Publication date: 17 February 2017
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://lirias.kuleuven.be/handle/123456789/440200
Related Items (5)
Rectangular GLT sequences ⋮ Generalized B-Splines in Isogeometric Analysis ⋮ Adaptive refinement with locally linearly independent LR B-splines: theory and applications ⋮ Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits ⋮ Effective grading refinement for locally linearly independent LR B-splines
Uses Software
Cites Work
- The Bernstein polynomial basis: a centennial retrospective
- From NURBS to NURPS geometries
- Quasi-interpolation in isogeometric analysis based on generalized B-splines
- A normalized basis for quintic Powell-Sabin splines
- A normalized basis for reduced Clough-Tocher 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
- Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems
- Weight control for modelling with NURPS surfaces
- Numerical solution of partial differential equations with Powell-Sabin splines
- Blossoms are polar forms
- Unified and extended form of three types of splines
- A recurrence relation for Chebyshevian B-splines
- A survey of curve and surface methods in CAGD
- Is there a geometric variation diminishing property for B-spline or Bézier surfaces?
- Observation on the history of central \(B\)-splines
- Totally positive bases for shape preserving curve design and optimality of \(B\)-splines
- On calculating normalized Powell-Sabin B-splines
- Exponentials reproducing subdivision schemes
- Pierre Bézier: An engineer and a mathematician
- De Casteljau's autobiography: my time at Citroën
- On de Casteljau's algorithm
- Chebyshev-Bernstein bases
- \(GB\)-splines of arbitrary order
- Shape preserving representations and optimality of the Bernstein basis
- Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants
- Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
- Non-uniform exponential tension splines
- A general class of Bernstein-like bases
- An identity for spline functions with applications to variation diminishing spline approximation
- On calculating with B-splines
- To I. J. Schoenberg and his mathematics
- On a class of weak Tchebycheff systems
- Unifying C-curves and H-curves by extending the calculation to complex numbers
- Subdivision schemes in geometric modelling
- Delaunay configurations and multivariate splines: A generalization of a result of B. N. Delaunay
- The way things were in multivariate splines: A personal view
- Spline Functions on Triangulations
- Blossoming Begets B-Spline Bases Built Better by B-Patches
- Piecewise Quadratic Approximations on Triangles
- Isogeometric Analysis
- On the optimal stability of the Bernstein basis
- A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS
- Local Hierarchical h-Refinements in IgA Based on Generalized B-Splines
- Totally positive matrices
- Blossoming beyond extended Chebyshev spaces
- Chebyshev splines beyond total positivity
- A practical guide to splines.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Standard and Non-standard CAGD Tools for Isogeometric Analysis: A Tutorial
