Publications related to An isogeometric method for linear nearly-incompressible elasticity with local stress projection

Ellipse-Preserving Hermite Interpolation and Subdivision

We introduce a family of piecewise-exponential functions that have the Hermite interpolation property. Our design is motivated by the search for an effective scheme for the joint interpolation of points and associated tangents on a curve with the ability t ...

Elsevier2015

Statistical Optimality of Hermite Splines

Michaël Unser, Julien René Pierre Fageot, Virginie Sophie Uhlmann, Harshit Gupta

Hermite splines are commonly used for interpolating data when samples of the derivative are available, in a scheme called Hermite interpolation. Assuming a suitable statistical model, we demonstrate that this method is actually optimal for reconstructing r ...

IEEE2015

Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations

Annalisa Buffa, Rafael Vazquez Hernandez

In this paper we introduce methods for electromagnetic wave propagation, based on splines and on T-splines. We define spline spaces which form a De Rham complex and following the isogeometric paradigm, we map them on domains which are (piecewise) spline or ...

2014

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Michaël Unser, Virginie Sophie Uhlmann

Cardinal Hermite exponential spline functions are a generalization of the classical cardinal Hermite polynomial splines. In this work we consider the 4-dimensional space

ε _{ 4 }

= {1, x,

e ^{ \alpha x }

,

e ^{ -\alpha x }

} with α ∈ $ ℝ ^{ + } ...

SMAI-SIGMA2014

Mathematical analysis of variational isogeometric methods

Annalisa Buffa, Rafael Vazquez Hernandez

This review paper collects several results that form part of the theoretical foundation of isogeometric methods. We analyse variational techniques for the numerical resolution of PDEs based on splines or NURBS and we provide optimal approximation and error ...

2014

Characterization of T-splines with reduced continuity order on T-meshes

Annalisa Buffa, Mithlesh Kumar

The use of T-splines [30] in Isogeometric Analysis [24] has been proposed in [5] as a tool to enhance the flexibility of isogeometric methods. If T-splines are a very general concept, their success in isogeometric analysis relies upon some basic properties ...

2012

Comparison of measured and simulated fast ion velocity distributions in the TEXTOR tokamak

Mattia Albergante, Otto Asunta

Here we demonstrate a comprehensive comparison of collective Thomson scattering (CTS) measurements with steady-state Monte Carlo simulations performed with the ASCOT and VENUS codes. The measurements were taken at a location on the magnetic axis as well as ...

2011

Local Multilayer Analytic Sensing For Eeg Source Localization: Performance Bounds And Experimental Results

Dimitri Nestor Alice Van De Ville, Thierry Blu, Clotaire Michel, Djano Kandaswamy

Analytic sensing is a new mathematical framework to estimate the parameters of a multi-dipole source model from boundary measurements. The method deploys two working principles. First, the sensing principle relates the boundary measurements to the volumetr ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Small strain mechanical properties of latex-based nanocomposite films

John Christopher Plummer, Riccardo Ruggerone

A waterborne latex-based technique, in which functionalized laponite is attached to PS and acrylic latex particles, is used to prepare films containing up to 50 wt% laponite. At high laponite contents this leads to a cellular arrangement of the laponite-ri ...

Wiley-Blackwell2010

On Random Tomography with Unobservable Projection Angles

Victor Panaretos

We formulate and investigate a statistical inverse problem of a random tomographic nature, where a probability density function on

\mathbb{R}^3

is to be recovered from observation of finitely many of its two-dimensional projections in random and unobserv ...

Institute of Mathematical Statistics2009

An isogeometric method for linear nearly-incompressible elasticity with local stress projection

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Ellipse-Preserving Hermite Interpolation and Subdivision

Statistical Optimality of Hermite Splines

Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Mathematical analysis of variational isogeometric methods

Characterization of T-splines with reduced continuity order on T-meshes

Comparison of measured and simulated fast ion velocity distributions in the TEXTOR tokamak

Local Multilayer Analytic Sensing For Eeg Source Localization: Performance Bounds And Experimental Results

Small strain mechanical properties of latex-based nanocomposite films

On Random Tomography with Unobservable Projection Angles

Characterization of T-splines with reduced continuity order on T-meshes

Ellipse-Preserving Hermite Interpolation and Subdivision

Statistical Optimality of Hermite Splines

Local Multilayer Analytic Sensing For Eeg Source Localization: Performance Bounds And Experimental Results

Small strain mechanical properties of latex-based nanocomposite films

On Random Tomography with Unobservable Projection Angles

Cardinal Hermite Exponential Splines: Theoretical Insights and Applications to Active Contours

Comparison of measured and simulated fast ion velocity distributions in the TEXTOR tokamak

Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations

Mathematical analysis of variational isogeometric methods