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181 results on '"Perrussel, Ronan"'

1. Corner asymptotics of the magnetic potential in the eddy-current model

Author

Dauge, Monique, Dular, Patrick, Krähenbühl, Laurent, Péron, Victor, Perrussel, Ronan, and Poignard, Clair

Subjects
Mathematics - Numerical Analysis
Abstract

In this paper, we describe the magnetic potential in the vicinity of a corner of a conducting body embedded in a dielectric medium in a bidimensional setting. We make explicit the corner asymptotic expansion for this potential as the distance to the corner goes to zero. This expansion involves singular functions and singular coefficients. We introduce a method for the calculation of the singular functions near the corner and we provide two methods to compute the singular coefficients: the method of moments and the method of quasi-dual singular functions. Estimates for the convergence of both approximate methods are proven. We eventually illustrate the theoretical results with finite element computations. The specific non-standard feature of this problem lies in the structure of its singular functions: They have the form of series whose first terms are harmonic polynomials and further terms are genuine non-smooth functions generated by the piecewise constant zeroth order term of the operator.

Published
2022
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5. Gradient-prolongation commutativity and graph theory

Author

Musy, François, Nicolas, Laurent, and Perrussel, Ronan

Subjects
Mathematics - Numerical Analysis
Abstract

This Note gives conditions that must be imposed to algebraic multilevel discretizations involving at the same time nodal and edge elements so that a gradient-prolongation commutativity condition will be satisfied; this condition is very important, since it characterizes the gradients of coarse nodal functions in the coarse edge function space. They will be expressed using graph theory and they provide techniques to compute approximation bases at each level., Comment: 6 pages

Published
2007
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6. Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods

Author

Dolean, Victorita, Fol, Hugo, Lanteri, Stephane, and Perrussel, Ronan

Subjects
Mathematics - Numerical Analysis
Abstract

We present numerical results concerning the solution of the time-harmonic Maxwell's equations discretized by discontinuous Galerkin methods. In particular, a numerical study of the convergence, which compares different strategies proposed in the literature for the elliptic Maxwell equations, is performed in the two-dimensional case., Comment: Preprint submitted for publication for the proceedings of ICCAM06 (11/04/2007)

Published
2006

7. Parallelisation of MACOPA, A Multi-physics Asynchronous Solver

Author

Guivarch, Ronan, Joslin, Guillaume, Perrussel, Ronan, Ruiz, Daniel, Tshimanga, Jean, Unfer, Thomas, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Dutra, Inês, editor, Camacho, Rui, editor, Barbosa, Jorge, editor, and Marques, Osni, editor

Published
2017
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8. DG Discretization of Optimized Schwarz Methods for Maxwell’s Equations

Author

Bouajaji, Mohamed El, Dolean, Victorita, Gander, Martin J., Lanteri, Stéphane, Perrussel, Ronan, Barth, Timothy J., Series editor, Griebel, Michael, Series editor, Keyes, David E., Series editor, Nieminen, Risto M., Series editor, Roose, Dirk, Series editor, Schlick, Tamar, Series editor, Erhel, Jocelyne, editor, Gander, Martin J., editor, Halpern, Laurence, editor, Pichot, Géraldine, editor, Sassi, Taoufik, editor, and Widlund, Olof, editor

Published
2014
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9. Domain Decomposition for 3-D Nonlinear Magnetostatic Problems: Newton–Krylov–Schur Versus Schur–Newton–Krylov Methods

Author

Ghenai, Mohamed I., Perrussel, Ronan, Chadebec, Olivier, Vi, Frederic, Guichon, Jean-Michel, Meunier, Gerard, and Siau, Jonathan

Abstract

Domain decomposition is a strategy designed to be used on parallel machines. This strategy leads to hybrid methods between direct and iterative solvers and allows users to benefit from the advantages of both. Lately, the growing size of simulations in electromagnetics brought to light the interest of using domain decomposition. Nonlinearity is also one of the problem specificities where the need for an efficient solver is high. This article provides a comparison between two techniques of domain decomposition for solving 3-D nonlinear magnetostatic problems. A contactor test case with two nonlinear materials was used to estimate the performances of both methods.

Published
2024
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20. Algebraic Multigrid Methods for discrete Stokes and Oseen problems

Author

Napov, Artem, Notay, Yvan, Delandtsheer, Anne, Dohet-Eraly, Jérémy, Vuik, Cornelis, Perrussel, Ronan, Bacq, Pierre-Loic, Napov, Artem, Notay, Yvan, Delandtsheer, Anne, Dohet-Eraly, Jérémy, Vuik, Cornelis, Perrussel, Ronan, and Bacq, Pierre-Loic

Abstract

We investigate the numerical solution of saddle-point linear systems arising from the discretizationof Stokes and Oseen problems. We consider all-at-once algebraic multigrid (AMG) methods whichtypically struggle when applied to such systems. To avoid the usual difficulties, we introduce anew approach called the transform-then-solve approach. The key idea is to first apply an algebraictransformation to the linear system in order to give it a more suitable structure for the subsequentapplication of a relatively standard aggregation-based AMG method.The investigation of typical (low-order) finite elements discretization of Stokes problems show thatthe method is robust on a broad range of problems, even for variable viscosity or time-dependentproblems used in an industrial framework. The main challenge consists in improving the compet-itiveness of the method with respect to reference methods, because of the higher computationalcost of the method due to the algebraic transformation. To mitigate it, we implement two strate-gies which efficiently reduce the computational cost. As a consequence, the transform-then-solveapproach is competitive and significantly more robust.The method developed during the thesis is sequential by design. However, the use of parallelarchitecture has been shown to speed up significantly computations. As such, we also look at thealgorithmic changes needed to develop a parallel version of the transform-then-solve approach.We show that these changes do not impact the robustness of the method.The development of an AMG method for Oseen problems is more complicated because of thenon-symmetry of the velocity block. By using the convergence theory we develop in the thesis,we are able to show that it is possible to design a two-grid method which presents a convergenceindependent of the mesh size and the Reynolds number for constant convection problem. The keycondition is that the aggregation of the pressure unknowns follows the same pattern as the one of, Doctorat en Sciences de l'ingénieur et technologie, info:eu-repo/semantics/nonPublished

Published
2022

21. Numerical study of the magnetic skin effect: Efficient parameterization of 2D surface‐impedance solutions for linear ferromagnetic materials.

Author

Abou El Nasser El Yafi, Dima, Péron, Victor, Perrussel, Ronan, and Krähenbühl, Laurent

Subjects
SKIN effect, FERROMAGNETIC materials, FINITE element method, MAGNETIC permeability, PARAMETERIZATION
Abstract

This work presents an efficient method based on asymptotic models in order to solve numerically eddy current problems in a bi‐dimensional setting with a high contrast of linear relative magnetic permeability μr ≫ 1 between a conductor and a dielectric subdomain. We describe a magnetic skin effect by deriving a multiscale expansion for the magnetic potential in power series of a small parameter δ which represents the skin depth. We make explicit the first asymptotics up to the order three. Some numerical results based on the finite element method will be presented to illustrate the magnetic skin effect and to validate the performance of the proposed asymptotic models in the dielectric medium. We confirm that the proposed asymptotics provide reduced computational costs for a wide range of physical parameters introduced in our problem. [ABSTRACT FROM AUTHOR]

Published
2023
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25. A NUMERICAL STUDY OF THE MAGNETIC SKIN EFFECT: EFFICIENT PARAMETRIZATION OF 2D SURFACE-IMPEDANCE SOLUTION FOR LINEAR FERROMAGNETIC MATERIALS

Author

Abou El Nasser El Yafi, Dima, Péron, Victor, Perrussel, Ronan, Krähenbühl, Laurent, Laboratoire de Mathématiques appliquées de Pau (LMAP), Centre National de la Recherche Scientifique (CNRS)-Université de Pau et des Pays de l'Adour (UPPA), E2S UPPA, Centre National de la Recherche Scientifique (CNRS), Université de Pau et des Pays de l'Adour (UPPA), Groupe de Recherche en Electromagnétisme (LAPLACE-GRE), LAboratoire PLasma et Conversion d'Energie (LAPLACE), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées, Ampère, Département Automatique pour l'Ingénierie des Systèmes (AIS), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), and Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)

Subjects
Eddy current problems, Finite element method, Asymptotic expansions, Ferromagnetic materials, Impedance boundary conditions, Magnetic potential, [MATH]Mathematics [math]
Abstract

This work presents an efficient method based on asymptotic models in order to solve numerically eddy current problems in a bi-dimensional setting with a high contrast of linear relative magnetic permeability mu_r between a conductor and a dielectric subdomain. We describe a magnetic skin effect by deriving a multiscale expansion for the magnetic potential in power series of a small parameter delta which represents the skin depth. We make explicit the first asymptotics up to the order three. Some numerical results based on the finite element method will be presented to illustrate the magnetic skin effect and to validate the performance of the proposed asymptotic models in the dielectric medium. We confirm that the proposed asymptotics provide reduced computational costs for a wide range of the physical parameters introduced in our problem.

Published
2021

26. Asymptotic Models for Ferromagnetic Materials in Eddy Current Problem

Author

Abou El Nasser El Yafi, Dima, Péron, Victor, Perrussel, Ronan, Université de Pau et des Pays de l'Adour (UPPA), E2S UPPA, Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS), LAboratoire PLasma et Conversion d'Energie (LAPLACE), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées, Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National Polytechnique (Toulouse) (Toulouse INP), and ABOU EL NASSER EL YAFI, Dima

Subjects
[INFO]Computer Science [cs], [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, [INFO] Computer Science [cs], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Abstract

International audience; The eddy current problem has crucial applications in the industrial field such asinductive heating or braking of heavy vehicles. In this context, we intend toanalyze the eddy current problem for the electromagnetic field in magneticallysoft materials. These materials are used for the cores of transformers in order toreduce the energy losses resulting from the alternating currents. The problem under consideration lies in two highly heterogeneous materialswith a common interface: we are interested to study the electromagnetic field ina soft magnetic conducting body with a high constant permeability mu = mu−, embeddedin a magnetic dielectric medium with a constant permeability mu=mu+, in a three-dimensionalsetting. Therefore, we propose to investigate the behavior of the electromagnetic field when themagnetic permeability is “dominant” that is the ferromagnetic case.However, in the ferromagnetic materials, we may have a small skin depth andthe amplitude of the magnetic field decays rapidly with depth inside themagnetic conducting domain. As a result, the numerical simulation of such aproblem seems challenging although prohibitive. In order to overcome thisdifficulty, we introduce for instance a small parameter epsilon, then we developan asymptotic approach based on a multiscale expansion. This asymptotic method wasalso applied previously for highly conductive nonmagnetic materials in eddy current problem.Therefore, we derive asymptotic models that reflect the skin effect and can be solved numericallyby using a coarse mesh.The aim of our present work is twofold. First, we derive an asymptoticexpansion of the electromagnetic field as the parameter epsilon tends to zero whenthe surface of the conducting body is smooth. Then, as an application, wemeasure the magnetic skin effect by presenting the asymptotic behavior of thecharacteristic depth. Finally, we compare the latter result with the previous workcorresponding to the skin effect in a bidimensional eddy current problem, whenthe contrast of permeability is predominant

Published
2021

28. Approximate conditions replacing thin layers

Author

Poignard, Clair, Dular, Patrick, Perrussel, Ronan, Krahenbuhl, Laurent, Nicolas, Laurent, and Schatzman, Michelle

Subjects
Electromagnetic fields -- Models, Electromagnetic fields -- Analysis, Finite element method -- Usage, Business, Electronics, Electronics and electrical industries
Abstract

We provide a rigorous asymptotic method to build approximate conditions equivalent to a thin layer. With these conditions the electromagnetic field may be computed in domains such as a biological cell, without meshing the membrane. The influence of the membrane is replaced by an appropriate condition on the inner domain, while in the thin layer, the approximate field is explicitly known. We give error estimates, which validate our asymptotic method, and we present a few numerical results performed with the finite-element method. Index Terms--Asymptotic methods, finite-element method, thin layers.

Published
2008

29. Optimized Schwarz algorithms for solving time-harmonic Maxwell's equations discretized by a discontinuous Galerkin method

Author

Dolean, Victorita, Lanteri, Stephane, and Perrussel, Ronan

Subjects
Bayesian information criterion -- Analysis, Maxwell equations -- Analysis, Three-dimensional display systems -- Usage, 3D technology, Business, Electronics, Electronics and electrical industries
Abstract

The numerical solution of the three-dimensional time-harmonic Maxwell equations using high order methods such as discontinuous Galerkin formulations require efficient solvers. A domain decomposition strategy is introduced for this purpose. This strategy is based on optimized Schwarz methods applied to the first order form of the Maxwell system and leads to the best possible convergence of these algorithms. The principles are explained for a 2D model problem and numerical simulations confirm the predicted theoretical behavior. The efficiency is further demonstrated on more realistic 3D geometries including a bioelectromagnetism application. Index Terms--Discontinuous Galerkin methods, domain decomposition methods, optimized interface conditions.

Published
2008

30. Post processing for the vector finite element method: accurate computing of dual field

Author

Vollaire, Christian, Musy, Francois, and Perrussel, Ronan

Subjects
Finite element method -- Usage, Harmonic functions -- Analysis, Vector graphics -- Electric properties, Vector graphics -- Magnetic properties, Business, Electronics, Electronics and electrical industries
Abstract

An accurate method to compute dual field in high frequency time harmonic problem is presented. From a primal field obtained by a vector finite element discretization, the dual field is obtained without numerical derivation by using a least square argument. The accuracy of the method is compared with the natural method using shape function derivatives. Index Terms--Edge elements, finite element method, post-processing.

Published
2006

31. An efficient preconditioner for linear systems issued from the finite-element method for scattering problems

Author

Perrussel, Ronan, Nicolas, Laurent, and Musy, Francois

Subjects
Electromagnetism -- Research, Business, Electronics, Electronics and electrical industries
Abstract

An efficient preconditioner for systems issued from the finite element discretization of time harmonic Maxwell's equations with absorbing boundary conditions is presented. It is based on the Helmholtz decomposition of the electromagnetic field and its discrete counterpart. It is compared to a classical preconditioner on both simple and realistic problems. Its behavior is also evaluated on meshes showing different characteristics. Index Terms--Electromagnetic fields, finite-element methods, numerical analysis, scattering.

Published
2004

34. Algebraic analysis of two-level multigrid methods for edge elements. ETNA - Electronic Transactions on Numerical Analysis

Author

Napov, Artem and Perrussel, Ronan

Subjects
convergence analysis, multigrid, algebraic multigrid, two-level multigrid, Reitzinger-Schöberl multigrid, preconditioning, aggregation, edge elements,Mathematics, Physics and Space Research
Abstract

We present an algebraic analysis of two-level multigrid methods for the solution of linear systems arising from the discretization of the curl-curl boundary value problem with edge elements. The analysis is restricted to the singular compatible linear systems as obtained by setting to zero the contribution of the lowest order (mass) term in the associated partial differential equation. We use the analysis to show that for some discrete curl-curl problems, the convergence rate of some Reitzinger-Schöberl two-level multigrid variants is bounded independently of the mesh size and the problem peculiarities. This covers some discretizations on Cartesian grids, including problems with isotropic coefficients, anisotropic coefficients and/or stretched grids, and jumps in the coefficients, but also the discretizations on uniform unstructured simplex grids.

Published
2019

35. Homogenization of lamination stacks based on the vector potential formulation

Author

Issa, Mohammad, Krähenbühl, Laurent, Poignard, Clair, Poirier, Jean-René, Perrussel, Ronan, LAboratoire PLasma et Conversion d'Energie (LAPLACE), Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées, Ampère, Département Méthodes pour l'Ingénierie des Systèmes (MIS), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), Équipe Calcul scientifique et Modélisation, Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Groupe de Recherches en Electrodynamique (LAPLACE-GREM3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), and Groupe de Recherche en Electromagnétisme (LAPLACE-GRE)

Subjects
asymptotic expansion, [SPI.NRJ]Engineering Sciences [physics]/Electric power, Classical homogenization
Abstract

International audience; We present an effective modelling of a lamination stack in 1d using classical homogenization and a correction for the interface between the air and the lamination stack. We consider the case where the skin depth is kept less than or equal to the thickness of one metal sheet.

Published
2019

36. Revisiting aggregation-based multigrid for edge finite elements

Author

Napov, Artem and Perrussel, Ronan

Subjects
Aggregation, Edge elements, Algebraic multigrid, Preconditioning, Analyse numérique
Abstract

We consider a modification of the Reitzinger-Schöberl algebraic multigrid method for the iterative solution of the curl-curl boundary value problem discretized with edge elements. The Reitzinger-Schöberl method is attractive for its low memory requirements and moderate cost per iteration, but the number of iterations typically tends to increase with the problem size. Here we propose several modifications to the method that aim at curing the size-dependent convergence behavior without significantly affecting the attractive features of the original method. The comparison with an auxiliary space preconditioner, a state-of-the-art solver for the considered problems, further indicates that both methods typically require a comparable amount of work to solve a given discretized problem but that the proposed approach requires less memory., SCOPUS: ar.j, info:eu-repo/semantics/published

Published
2019

37. Revisiting aggregation-based multigrid for edge elements. ETNA - Electronic Transactions on Numerical Analysis

Author

Napov, Artem and Perrussel, Ronan

Subjects
algebraic multigrid, edge elements, preconditioning, aggregation,Mathematics, Physics and Space Research
Abstract

We consider a modification of the Reitzinger-Schöberl algebraic multigrid method for the iterative solution of the curl-curl boundary value problem discretized with edge elements. The Reitzinger-Schöberl method is attractive for its low memory requirements and moderate cost per iteration, but the number of iterations typically tends to increase with the problem size. Here we propose several modifications to the method that aim at curing the size-dependent convergence behavior without significantly affecting the attractive features of the original method. The comparison with an auxiliary space preconditioner, a state-of-the-art solver for the considered problems, further indicates that both methods typically require a comparable amount of work to solve a given discretized problem but that the proposed approach requires less memory.

Published
2019

38. Algebraic analysis of two-level multigrid methods for edge elements

Author

Napov, Artem, Perrussel, Ronan, Napov, Artem, and Perrussel, Ronan

Abstract

We present an algebraic analysis of two-level multigrid methods for the solution of linear systems arising from the discretization of the curl-curl boundary value problem with edge elements. The analysis is restricted to the singular compatible linear systems as obtained by setting to zero the contribution of the lowest order (mass) term in the associated partial differential equation. We use the analysis to show that for some discrete curl-curl problems, the convergence rate of some Reitzinger-Schöberl two-level multigrid variants is bounded independently of the mesh size and the problem peculiarities. This covers some discretizations on Cartesian grids, including problems with isotropic coefficients, anisotropic coefficients and/or stretched grids, and jumps in the coefficients, but also the discretizations on uniform unstructured simplex grids., SCOPUS: ar.j, info:eu-repo/semantics/published

Published
2019

42. Boundary Element Method for 3D Eddy Current Problems With a Conductive Thin Layer

Author

Issa, Mohammad, Bannwarth, Bertrand, Chadebec, Olivier, Meunier, Gérard, Poirier, Jean-René, Sarraute, Emmanuel, Perrussel, Ronan, Laboratoire de Génie Electrique de Grenoble (G2ELab), Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Groupe de Recherches en Electrodynamique (LAPLACE-GREM3), LAboratoire PLasma et Conversion d'Energie (LAPLACE), Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National Polytechnique (Toulouse) (Toulouse INP), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées, Convertisseurs Statiques (LAPLACE-CS), Groupe de Recherche en Electromagnétisme (LAPLACE-GRE), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique (Toulouse) (Toulouse INP), and Université Fédérale Toulouse Midi-Pyrénées-Université Toulouse III - Paul Sabatier (UT3)

Subjects
[SPI.NRJ]Engineering Sciences [physics]/Electric power, ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2017

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