Concept

NURBS

Publications associées (102)

Refinement Algorithms for Adaptive Isogeometric Methods with Hierarchical Splines

The construction of suitable mesh configurations for spline models that provide local refinement capabilities is one of the fundamental components for the analysis and development of adaptive isogeometric methods. We investigate the design and implementati ...

2018

An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations

Rafael Vazquez Hernandez

We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requirements for electromagnetic scattering analysis with the boundary element method (method of moments). Our approach makes use of Non-Uniform Rational B-splin ...

2018

Isogeometric approximation of cardiac electrophysiology models on surfaces: An accuracy study with application to the human left atrium

Alfio Quarteroni, Toni Mikael Lassila, Andrea Bartezzaghi, Alessandro Samuele Patelli

We consider Isogeometric Analysis in the framework of the Galerkin method for the spatial approximation of cardiac electrophysiology models defined on NURBS surfaces; specifically, we perform a numerical comparison between basis functions of degree p >= 1 ...

Elsevier2017

MATHICSE Technical Report : An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations

Rafael Vazquez Hernandez

We outline the construction of compatible B-splines on 3D surfaces that satisfy the continuity requirements for electromagnetic scatter- ing analysis with the boundary element method (method of moments). Our approach makes use of Non-Uniform Rational B-spl ...

MATHICSE2017

MATHICSE Technical Report : A priori error for unilateral contact problems with Lagrange multipliers and IsoGeometric Analyis

Annalisa Buffa, Pablo Antolin Sanchez, Mathieu Jonathan Fabre

In this paper, we consider unilateral contact problem without friction between a rigid body_and deformable one in the framework of isogeometric analysis. We present the theoretical_analysis of the mixed problem using an active-set strategy and for a primal ...

MATHICSE2017

Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution

Michaël Unser, Julien René Pierre Fageot, Pablo Garcia-Amorena Garcia, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

In applications that involve interactive curve and surface modeling, the intuitive manipulation of shapes is crucial. For instance, user interaction is facilitated if a geometrical object can be manipulated through control points that interpolate the shape ...

2017

MATHICSE Technical Report : A posteriori error estimators for hierarchical B-spline discretizations

Annalisa Buffa

In this article we develop function-based a posteriori error estimators for the solution of linear second order elliptic problems considering hierarchical spline spaces for the Galerkin discretization. We prove a global upper bound for the energy error. Th ...

MATHICSE2017

Biokinetic process model diagnosis with shape-constrained spline functions

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan

Model-structure identification is important for the optimization and design of biokinetic processes. Standard Monod and Tessier functions are often used by default to describe bacterial growth with respect to a substrate, leading to significant optimizatio ...

2016

Approximation estimates for isogeometric spaces in multipatch geometries

Annalisa Buffa, Rafael Vazquez Hernandez

In this article, we extend this approximation theory developed in (Bazilevs et al., Math Models Methods Appl Sci 16 (2006), 1031-1090) and (Beirão da Veiga et al., Comput Methods Appl Mech Eng 209-212 (2012), 1-11) to the case when the computational domain ...

2015

Reduced Basis method for Isogeometric Analysis: application to structural problems

Marina Rinaldi

Isogeometric Analysis (IGA) is a computational methodology for the numerical approximation of Partial Differential Equations (PDEs). IGA is based on the isogeometric concept, for which the same basis functions, usually Non-Uniform Rational B-Splines (NURBS ...

2015

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