A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines
DOI10.1016/j.camwa.2021.08.016OpenAlexW3196441527MaRDI QIDQ2234894
Publication date: 19 October 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.08.016
Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Interpolation with quintic Powell-Sabin splines
- From NURBS to NURPS geometries
- A normalized basis for reduced Clough-Tocher splines
- On multivariate polynomials in Bernstein-Bézier form and tensor algebra
- \(\mathcal{C}^1\) cubic splines on Powell-Sabin triangulations
- Three recipes for quasi-interpolation with cubic Powell-Sabin splines
- Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems
- A normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations
- Weight control for modelling with NURPS surfaces
- IsoGeometric analysis: a new paradigm in the numerical approximation of PDEs, Cetraro, Italy 2012. Based on lectures given at the summer school
- Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions
- On bivariate super vertex splines
- Numerical solution of partial differential equations with Powell-Sabin splines
- Quadratic spline quasi-interpolants on Powell-Sabin partitions
- Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions
- On calculating normalized Powell-Sabin B-splines
- Bézier and B-spline techniques
- A new B-spline representation for cubic splines over Powell-Sabin triangulations
- A B-spline basis for \(C^1\) quadratic splines on triangulations with a 10-split
- Construction and analysis of cubic Powell-Sabin B-splines
- Survey of two-dimensional acute triangulations
- Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
- An \(\mathcal{O}(p^3)\) \(hp\)-version FEM in two dimensions: preconditioning and post-processing
- On stable representations of Bell elements
- A super-smooth \(C^1\) spline space over planar mixed triangle and quadrilateral meshes
- A normalized basis for \(\mathcal{C}^1\) cubic super spline space on Powell-Sabin triangulation
- Interpolation with \(C^2\) quartic macro-elements based on \(10\)-splits
- A family of smooth quasi-interpolants defined over Powell-Sabin triangulations
- Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines
- Quartic splines on Powell-Sabin triangulations
- Constructing B-spline representation of quadratic Sibson-Thomson splines
- A normalized basis for condensed \(\mathcal{C}^1\) Powell-Sabin-12 splines
- Fast simplicial finite element algorithms using Bernstein polynomials
- Bernstein–Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures
- Spline Functions on Triangulations
- Isogeometric Analysis
- Code Generation for Generally Mapped Finite Elements
- A general approach to transforming finite elements
This page was built for publication: A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines