Isogeometric analysis with Powell–Sabin splines for advection–diffusion–reaction problems
This paper presents the use of Powell–Sabin splines in the context of isogeometric analysis
for the numerical solution of advection–diffusion–reaction equations. Powell–Sabin splines …
for the numerical solution of advection–diffusion–reaction equations. Powell–Sabin splines …
A geometrically exact isogeometric Kirchhoff plate: Feature‐preserving automatic meshing and C1 rational triangular Bézier spline discretizations
N Liu, AE Jeffers - International Journal for Numerical Methods …, 2018 - Wiley Online Library
The analysis of the Kirchhoff plate is performed using rational Bézier triangles in
isogeometric analysis coupled with a feature‐preserving automatic meshing algorithm …
isogeometric analysis coupled with a feature‐preserving automatic meshing algorithm …
Isogeometric analysis on triangulations
N Jaxon, X Qian - Computer-Aided Design, 2014 - Elsevier
We present a method for isogeometric analysis on the triangulation of a domain bounded by
NURBS curves. In this method, both the geometry and the physical field are represented by …
NURBS curves. In this method, both the geometry and the physical field are represented by …
tIGAr: Automating isogeometric analysis with FEniCS
D Kamensky, Y Bazilevs - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
This paper introduces tIGAr, a library for using the open-source finite element (FE)
automation software FEniCS to perform isogeometric analysis (IGA). The library uses a …
automation software FEniCS to perform isogeometric analysis (IGA). The library uses a …
Isogeometric analysis with Bézier tetrahedra
This paper presents an approach for isogeometric analysis of 3D objects using rational
Bézier tetrahedral elements. In this approach, both the geometry and the physical field are …
Bézier tetrahedral elements. In this approach, both the geometry and the physical field are …
Construction of normalized B-splines for a family of smooth spline spaces over Powell–Sabin triangulations
H Speleers - Constructive Approximation, 2013 - Springer
We construct a suitable B-spline representation for a family of bivariate spline functions with
smoothness r≥ 1 and polynomial degree 3 r− 1. They are defined on a triangulation with …
smoothness r≥ 1 and polynomial degree 3 r− 1. They are defined on a triangulation with …
Feature-preserving rational Bézier triangles for isogeometric analysis of higher-order gradient damage models
N Liu, AE Jeffers - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
The computational approach of modeling smeared damage with quadrilateral elements in
isogeometric analysis (eg, using NURBS or T-splines) has limitations in scenarios where …
isogeometric analysis (eg, using NURBS or T-splines) has limitations in scenarios where …
A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS
We study a reformulated version of Reissner–Mindlin plate theory in which rotation variables
are eliminated in favor of transverse shear strains. Upon discretization, this theory has the …
are eliminated in favor of transverse shear strains. Upon discretization, this theory has the …
Continuity and convergence in rational triangular Bézier spline based isogeometric analysis
This paper presents a method for isogeometric analysis using rational Triangular Bézier
Splines (rTBS) where optimal convergence rates are achieved. In this method, both the …
Splines (rTBS) where optimal convergence rates are achieved. In this method, both the …
[HTML][HTML] A local simplex spline basis for C3 quartic splines on arbitrary triangulations
T Lyche, C Manni, H Speleers - Applied Mathematics and Computation, 2024 - Elsevier
We deal with the problem of constructing, representing, and manipulating C 3 quartic splines
on a given arbitrary triangulation T, where every triangle of T is equipped with the quartic …
on a given arbitrary triangulation T, where every triangle of T is equipped with the quartic …