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Some remarks on spanning families and weights for high order Whitney spaces on simplices

Ana Alonso Rodríguez , Francesca Rapetti
Computers & Mathematics with Applications, 2019, 78 (9), pp.2961-2972. ⟨10.1016/j.camwa.2019.03.006⟩
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

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

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

Whitney Forms of Higher Degree

Francesca Rapetti , Alain Bossavit
SIAM Journal on Numerical Analysis, 2009, 47 (3), pp.2369-2386. ⟨10.1137/070705489⟩
Journal articles hal-00763881v1

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

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

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

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
Calcolo, 2018, 55 (4), ⟨10.1007/s10092-018-0284-1⟩
Journal articles hal-01948903v1

Electromagnetic quasi-static models applied to transmission lines

Francesca Rapetti
Computing, 2013, 95 (1), pp.599-616
Journal articles hal-00946877v1

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

A mortar element approach on overlapping non-nested grids: Application to eddy current non-destructive testing

Alexandra Christophe , Yann Le Bihan , Francesca Rapetti
Applied Mathematics and Computation, 2015, 267, pp.71-82. ⟨10.1016/j.amc.2015.05.126⟩
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
Numerical Mathematics and Advanced Applications ENUMATH 2017, Springer, pp.259-267, 2019, 978-3-319-96415-7. ⟨10.1007/978-3-319-96415-7_22⟩
Book sections hal-02411197v1

Dispersion analysis of triangle-based Whitney element methods for electromagnetic wave propagation

Marcella Bonazzoli , Francesca Rapetti , Chiara Venturini
Applied Mathematics and Computation, 2018, Recent Advances in Computing, 319, pp.274-286. ⟨10.1016/j.amc.2017.03.026⟩
Journal articles hal-01949026v1

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
Image document

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

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

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

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 of Mathematical Study, 2018, 51 (1), pp.15-25. ⟨10.4208/jms.v51n1.18.02⟩
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
IEEE Transactions on Magnetics, 2010, 46 (8), pp.3061 - 3064. ⟨10.1109/TMAG.2010.2043342⟩
Journal articles hal-00600466v1

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

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

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