Some remarks on spanning families and weights for high order Whitney spaces on simplices
Ana Alonso Rodríguez
,
Francesca Rapetti
Journal articles
hal-02411192v1
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FEMs on Composite Meshes for Tuning Plasma Equilibria in Tokamaks
Holger Heumann
,
Francesca Rapetti
,
Xiao Song
[Research Report] RR-9129, Inria & Université Nice Sophia Antipolis, CNRS, I3S, Sophia Antipolis, France. 2017, pp.1-21
Reports
hal-01659839v1
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Construction of a spanning tree for high-order edge elements
Eduardo de Los Santos
,
Ana Maria Alonso Rodríguez
,
Francesca Rapetti
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields , 2022
Journal articles
hal-03426095v1
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High order edge elements on simplicial meshes
Francesca Rapetti
ESAIM: Mathematical Modelling and Numerical Analysis , 2007, 41 (6), pp.1001--1020
Journal articles
hal-01141133v1
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Finite element methods on composite meshes for tuning plasma equilibria in tokamaks
Holger Heumann
,
Francesca Rapetti
,
Xiao Song
Journal of Mathematics in Industry , 2018, 8 (1)
Journal articles
hal-01948902v1
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FEMs on composite meshes for plasma equilibrium simulations in tokamaks
Holger Heumann
,
Francesca Rapetti
,
Minh Duy Truong
19th European Conference on Mathematics for Industry - ECMI 2016 , Jun 2016, Santiago-de-Compostela Spain
Conference papers
hal-01397386v1
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Whitney Forms of Higher Degree
Francesca Rapetti
,
Alain Bossavit
Journal articles
hal-00763881v1
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Current identification in vacuum circuit breakers as a least squares problem
Francesca Rapetti
,
Luca Ghezzi
ESAIM: Proceedings , 2012, 38, pp.361-375
Journal articles
hal-00946893v1
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Whitney elements, from Manifolds to Fields
Francesca Rapetti
,
Alain Bossavit
Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 , Springer International Publishing, pp.179-189, 2014
Book sections
hal-00946871v1
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On the generation of symmetric Lebesgue-like points in the triangle
Francesca Rapetti
,
Alvise Sommariva
,
Marco Vianello
Journal of Computational and Applied Mathematics , 2012, pp.4925-4932
Journal articles
hal-00946535v1
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A tree-cotree splitting for the construction of divergence-free finite elements: the high-order case
Ana Alonso Rodríguez
,
Jessica Camano
,
Eduardo de Los santos
,
Francesca Rapetti
2019
Preprints, Working Papers, ...
hal-02429500v1
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A graph approach for the construction of high order divergence-free Raviart–Thomas finite elements
A. Alonso Rodríguez
,
Jessika Camaño
,
Eduardo de Los santos
,
Francesca Rapetti
Journal articles
hal-01948903v1
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Electromagnetic quasi-static models applied to transmission lines
Francesca Rapetti
Computing , 2013, 95 (1), pp.599-616
Journal articles
hal-00946877v1
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An overlapping non-matching grid mortar element method for Maxwell's equations
Alexandra Christophe
,
Laurent Santandréa
,
Francesca Rapetti
,
Guillaume Krebs
,
Yann Le Bihan
Compumag 2013 , Jun 2013, Budapest, Hungary. pp.1-1
Conference papers
hal-00932675v1
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A mortar element approach on overlapping non-nested grids: Application to eddy current non-destructive testing
Alexandra Christophe
,
Yann Le Bihan
,
Francesca Rapetti
Journal articles
hal-01254684v1
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Numerical Modeling and High Speed Parallel Computing: New Perspectives for Tomographic Microwave Imaging for Brain Stroke Detection and Monitoring
Pierre-Henri Tournier
,
Marcella Bonazzoli
,
Victorita Dolean
,
Francesca Rapetti
,
Frédéric Hecht
,
et al.
2016
Preprints, Working Papers, ...
hal-01356092v1
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The Discrete Relations Between Fields and Potentials with High Order Whitney Forms
Ana Alonso Rodríguez
,
Francesca Rapetti
Book sections
hal-02411197v1
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Dispersion analysis of triangle-based Whitney element methods for electromagnetic wave propagation
Marcella Bonazzoli
,
Francesca Rapetti
,
Chiara Venturini
Journal articles
hal-01949026v1
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Mortar FEs on Overlapping Meshes: Application to Magnetodynamic
Alexandra Christophe
,
Francesca Rapetti
,
Laurent Santandréa
,
Guillaume Krebs
,
Yann Le Bihan
ESCO 2014 , Jun 2014, Pilsen, Czech Republic
Conference papers
hal-01099226v1
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Whitney edge elements and the Runge phenomenon
Ana Alonso Rodríguez
,
Ludovico Bruni Bruno
,
Francesca Rapetti
2022
Preprints, Working Papers, ...
hal-03893138v1
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Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements
Ana Alonso Rodríguez
,
Ludovico Bruni Bruno
,
Francesca Rapetti
Calcolo , 2022, 59 (37)
Journal articles
hal-03114568v4
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Spectral element methods on simplicial meshes
Francesca Rapetti
,
Richard Pasquetti
Mejdi Azaïez; Henda El Fekih; Jan S. Hesthaven.
Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 , Springer International Publishing, pp.37-55, 2014, Lecture Notes in Computational Science and Engineering, 978-3-319-01600-9.
⟨10.1007/978-3-319-01601-6_3⟩
Book sections
hal-00946866v1
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Non-conforming high order approximations for the elastic wave equation
Francesca Rapetti
,
Paola E. Antonietti
,
Ilario Mazzieri
,
Alfio Quarteroni
Computer Methods in Applied Mechanics and Engineering , 2012, 209, pp.212-238
Journal articles
hal-00946897v1
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p-Multigrid for Fekete spectral element method
Victorita Dolean
,
Richard Pasquetti
,
Francesca Rapetti
U. Langer, M. Discacciati, D.E. Keyes, O.B. Widlund, W. Zulehner (Eds.). Domain Decomposition Methods in Science and Engineering XVII , Springer Verlag, 2008, LNCSE
Book sections
hal-00173978v1
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Méthode de décomposition de domaine pour la modélisation de contrôles non destructifs par courants de Foucault
Alexandra Christophe
,
Francesca Rapetti
,
Yann Le Bihan
,
Edouard Demaldent
COFREND 2014 , May 2014, Bordeaux, France
Conference papers
hal-01096607v1
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Cubature points based triangular spectral elements: An accuracy study
Richard Pasquetti
,
Francesca Rapetti
Journal articles
hal-01954133v1
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Recent Achievements on a DGTD Method for Time-Domain Electromagnetics
Hassan Fahs
,
Loula Fatima Fezoui
,
Stephane Lanteri
,
Victorita Dolean
,
Francesca Rapetti
Journal articles
hal-00600466v1
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Dispersion analysis of triangle-based spectral element methods for elastic wave propagation
Francesca Rapetti
,
Ilario Mazzieri
Numerical Algorithms , 2012, pp.631-650
Journal articles
hal-00946519v1
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High order space-time discretization for elastic wave propagation problems
Francesca Rapetti
,
Paola E. Antonietti
,
Ilario Mazzieri
,
Alfio Quarteroni
Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 , Springer International Publishing, pp.87-97, 2014, 978-3-319-01600-9
Book sections
hal-00946868v1
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High Order Edge Elements for Electromagnetic Waves: Remarks on Numerical Dispersion
Marcella Bonazzoli
,
Francesca Rapetti
,
Pierre-Henri Tournier
,
Chiara Venturini
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 , 119, pp.215-227, 2017, Lecture Notes in Computational Science and Engineering,
⟨10.1007/978-3-319-65870-4_14⟩
Book sections
hal-01949049v1
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