References of "Geuzaine, Christophe"
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See detailSubproblem h-Conform Formulation for Accurate Thin Shell Models Between Conducting and Nonconducting Regions
Dang, Quoc Vuong ULg; Dular, Patrick ULg; Vazquez Sabariego, Ruth ULg et al

in Proceeding of the 9th International Symposium on Electric and Magnetic Fields, EMF 2013 (2013, April 23)

A subproblem method (SPM) with h-formulation is developed for correcting the inaccuracies near edges and corners that arise from using thin shell (TS) models to replace thin volume regions by surfaces ... [more ▼]

A subproblem method (SPM) with h-formulation is developed for correcting the inaccuracies near edges and corners that arise from using thin shell (TS) models to replace thin volume regions by surfaces. The developed surface-to-volume correction problem is defined as a step of multiple SPs, with inductors and magnetic or conducting regions, some of them being thin. The TS model assumes that the fields in the thin regions are approximated by a priori 1-D analytical distributions along the shell thickness (C. Geuzaine et al., “Dual formulations for the modeling of thin electromagnetic shells using edge elements,” IEEE Trans. Magn., vol. 36, no. 4, pp. 799–802, 2000). Their interior is not meshed and ratherextracted from the studied domain, which is reduced to a zero-thickness double layer with interface conditions (ICs) linked to 1-D analytical distributions that however neglect end and curvature effects. This leads to inaccuracies near edges and corners that increase with the thickness. To cope with these difficulties, the authors have recently proposed a SPM based on the h-formulation for a thin region located between non-conducting regions (Vuong Q. Dang et al., “Subproblem Approach for Thin Shell Dual Finite Element Formulations”, IEEE Trans. Magn., vol. 48, no. 2, pp. 407–410, 2012). The magnetic field h is herein defined in nonconducting regions by means of a magnetic scalar potential , i.e. h = -grad{\phi} , with discontinuities of through the TS. In this paper, the SPM is extended to account for thin regions located between conducting regions or between conducting and nonconducting regions, in the general case of multiply connected regions. In these regions, the potential is not defined anymore on both sides of the TS and the problem has to be expressed in terms of the discontinuities of h, possibly involving on one side only, to be strongly defined via an IC through the TS. In the proposed SP strategy, a reduced problem with only inductors is first solved on a simplified mesh without thin and volume regions. Its solution gives surface sources (SSs) as ICs for added TS regions, and volume sources (VSs) for possible added volume regions. The TS solution is further improved by a volume correction via SSs and VSs that overcome the TS assumptions, respectively suppressing the TS model and adding the volume model. Each SP has its own separate mesh, which increases the computational efficiency. Details on the proposed method will be given in the extended paper, with practical applications. [less ▲]

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See detailA Computational Homogenization Method for the Evaluation of Eddy Current in Nonlinear Soft Magnetic Composites
Niyonzima, Innocent ULg; Vazquez Sabariego, Ruth ULg; Dular, Patrick ULg et al

in Proceeding of the 9th International Symposium on Electric and Magnetic Fields, EMF 2013 (2013, April 23)

The use of the soft magnetic composite (SMC) in electric devices has increased in recent years. These materials made from a metallic powder compacted with a dielectric binder are a good alternative to ... [more ▼]

The use of the soft magnetic composite (SMC) in electric devices has increased in recent years. These materials made from a metallic powder compacted with a dielectric binder are a good alternative to laminated ferromagnetic structures as their granular mesoscale structure allows to significantly reduce the eddy current losses. Furthermore unlike the laminated ferromagnetic structures, SMC exhibit isotropic magnetic properties what makes them good candidates for manufacturing machines with 3D flux paths. The isotropy of the thermal conductivity also allows for a more efficient heat dissipation. The use of classical numerical methods such as the finite element method to study the behavior of SMC is computational very expensive. Indeed a very fine mesh would be required in order to capture fine scale variations i.e. variations at level of metallic grains whence the use of multiscale methods for modelling SMC. The application of multiscale method to study the behaviour of SMC is relatively recent. In (A. Bordianu et al “A Multiscale Approach to Predict Classical Losses in Soft Magnetic Composites”, IEEE Trans. Mag., vol. 48, no. 4, 2012.), the authors used a homogenization technique to compute electrical and magnetic constitutive laws on a representative volume element (RVE). These laws were then used in finite element computations. Herein, the RVE has been chosen to account for the grain- grain contact that can occur in a actual SMC structure due to the compaction process and that can lead to the appearance of macroscale eddy currents. In this paper, we will extend the computational homogenization method success- fully used for modelling the behaviour of laminated ferromagnetic cores in mag- netodynamics (I. Niyonzima et al “Computational Homogenization for Laminated Ferromagnetic Cores in Magnetodynamics”, in Proc. of the 15th Biennal Confer- ence on Electromagnetic Field Computation, 2012) to the case of SMC. The method is based on the heterogeneous multiscale method (HMM) and couples two types of problems: a macroscale problem that captures the slow variations of the overall so- lution and many microscale problems that allow to determine the constitutive laws at the macroscale. The choice of RVE will also be discussed. [less ▲]

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See detailDual Formulations for Accurate Thin Shell Models in a Finite Element Subproblem Method
Dang, Quoc Vuong ULg; Dular, Patrick ULg; Vazquez Sabariego, Ruth ULg et al

in Proceeding of the 19th COMPUMAG Conference on the Computation of Electromagnetic Fields, 2013 (2013, April 01)

A subproblem finite with dual finite element magnetostatic and magnetodynamic formulations is developed for correcting the inaccuracies near edges and corners coming from thin shell models, that replace ... [more ▼]

A subproblem finite with dual finite element magnetostatic and magnetodynamic formulations is developed for correcting the inaccuracies near edges and corners coming from thin shell models, that replace thin volume regions by surfaces. The surface-to-volume correction problem is defined as one of the multiple subproblems applied to a complete problem, considering successive additions of inductors and magnetic or conducting regions, some of these being thin regions. Each SP requires a proper adapted mesh of its regions, which facilitates meshing and increases computational e ciency. [less ▲]

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See detailOptimized Schwarz Algorithm with Double Sweep Preconditioner for the Helmholtz Equation
Vion, Alexandre ULg; Geuzaine, Christophe ULg

in Proceedings of the 9th International Symposium on Electric and Magnetic Fields, EMF 2013 (2013, April)

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See detailPower System Simulation Challenges
Aristidou, Petros ULg; Plumier, Frédéric ULg; Van Cutsem, Thierry ULg et al

Scientific conference (2013, March 05)

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See detailGeometrical Validity of Curvilinear Finite Elements
Johnen, Amaury ULg; Remacle, J.-F.; Geuzaine, Christophe ULg

in Journal of Computational Physics (2013), 233

In this paper, we describe a way to compute accurate bounds on Jacobian de- terminants of curvilinear polynomial finite elements. Our condition enables to guarantee that an element is geometrically valid ... [more ▼]

In this paper, we describe a way to compute accurate bounds on Jacobian de- terminants of curvilinear polynomial finite elements. Our condition enables to guarantee that an element is geometrically valid, i.e., that its Jacobian determinant is strictly positive everywhere in its reference domain. It also provides an efficient way to measure the distortion of curvilinear elements. The key feature of the method is to expand the Jacobian determinant using a polynomial basis, built using B ́ezier functions, that has both properties of boundedness and positivity. Numerical results show the sharpness of our estimates. [less ▲]

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See detailA Frontal Delaunay Quad Mesh Generator Using the L ∞  Norm
Remacle, J.-F.; Henrotte, F.; Carrier-Baudouin, T. et al

in International Journal for Numerical Methods in Engineering (2013), 94(5), 494-512

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See detailProgressive Eddy Current modeling via a finite element subproblem method
Dular, Patrick ULg; Péron, Victor; Krähenbühl, Laurent et al

in International Journal of Applied Electromagnetics and Mechanics (2013)

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See detailRobust untangling of curvilinear meshes
Toulorge, Thomas; Geuzaine, Christophe ULg; Remacle, Jean-François et al

in Journal of Computational Physics (2013), 254

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See detailHomology and Cohomology Computation in Finite Element Modeling
Pellikka, M.; Suuriniemi, S.; Kettunen, L. et al

in SIAM Journal on Scientific Computing (2013), 35(5), 1195--1214

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See detailCardiovascular and lung mesh generation based on centerlines
Marchandise, E.; Geuzaine, Christophe ULg; Remacle, Jean-Francois

in International journal for numerical methods in biomedical engineering (2013), 29(6), 665-682

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See detailONELAB: Open Numerical Engineering LABoratory
Geuzaine, Christophe ULg; Henrotte, François; Remacle, Jean-François et al

in Actes du 11e Colloque National en Calcul des Structures (CSMA 2013), Giens, France (2013)

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See detailNew mesh generation developments in GMSH
Remacle, Jean-François; Johnen, Amaury ULg; Lambrechts, Jonathan et al

in Actes du 11e Colloque National en Calcul des Structures (CSMA 2013), Giens, France (2013)

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See detailInfluence of the frequency for the numerical modeling of the parasitic capacitances of wound magnetic components
De Greve, Zacharie; Lehti, Leena; Deblecker, Olivier et al

in 9th International Symposium on Electric and Magnetic Fields (EMF2013) (2013)

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See detailGeneration of provably correct high-order meshes
Toulorge, Thomas; Geuzaine, Christophe ULg; Remacle, Jean-François et al

in Advances in Computational Mechanics (ACM 2013) - Finite Elements in Flow Problems (FEF 2013) (2013)

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See detailA non-overlapping quasi-optimal optimized Schwarz domain decomposition algorithm for the Helmholtz equation
Boubendir, Yassine; Antoine, Xavier; Geuzaine, Christophe ULg

in Proceedings of Domain Decomposition Methods in Science and Engineering XX (2013)

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See detailA DDM double sweep preconditioner for the Helmholtz equation with matrix probing of the DtN map
Vion, Alexandre ULg; Bélanger-Rioux, R.; Demanet, L. et al

in Proceedings of the 11th International Conference on Mathematical and Numerical Aspects of Waves (WAVES 2013) (2013)

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See detailGeometrical Validity of High-Order Triangular Finite Elements
Johnen, Amaury ULg; Remacle, Jean-François; Geuzaine, Christophe ULg

in Engineering with Computers (2012)

This paper presents a method to compute accurate bounds on Jacobian determinants of high-order (curvilinear) triangular nite elements. This method can be used to guarantee that a curvilinear triangle is ... [more ▼]

This paper presents a method to compute accurate bounds on Jacobian determinants of high-order (curvilinear) triangular nite elements. This method can be used to guarantee that a curvilinear triangle is geometrically valid, i.e., that its Jacobian determinant is strictly positive everywhere in its reference domain. It also provides an e cient way to measure the quality the triangles. The key feature of the method is to expand the Jacobian determinant using a polynomial basis, built using B ezier functions, that has both properties of boundedness and positivity. Numerical results show the sharpness of our estimates. [less ▲]

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See detailAcceleration of the convergence of a non-overlapping domain decomposition method by an approximate deflation technique for high-frequency wave propagation
Vion, Alexandre ULg; Thierry, Bertrand; Geuzaine, Christophe ULg

in Proceedings of the 15th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2012) (2012)

The analysis of a non-overlapping domain decom- position method with optimized transmission conditions, applied to a simplified 1-D problem discretized by finite elements, is performed to better ... [more ▼]

The analysis of a non-overlapping domain decom- position method with optimized transmission conditions, applied to a simplified 1-D problem discretized by finite elements, is performed to better understand the spectral properties of the method. An approximate deflation preconditioner is then introduced to modify the spectrum of the iteration operator, and speed up the convergence of the GMRES algorithm used to solve the substructured problem. [less ▲]

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