References of "Geuzaine, Christophe"
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See detailBlossom-Quad: a non-uniform quadrilateral mesh generator using a minimum cost perfect macthing algorithm
Remacle, J.-F.; Geuzaine, Christophe ULg; Marchandise, E.

in Wall, W. A.; Gravemeier, V. (Eds.) Proceedings of the 16th International Conference on Finite Elements in Flow Problems (FEF 2011) (2011, March)

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See detailNew Non-Overlapping Domain Decomposition Algorithm for the Helmholtz Equation
Boubendir, Y.; Antoine, X.; Geuzaine, Christophe ULg

in Proceedings of the 20th International Conference on Domain Decomposition Methods (DD20) (2011, February)

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See detailCorrection of Thin Shell Finite Element Magnetic Models via a Subproblem Method
Dular, Patrick ULg; Dang, Quoc Vuong ULg; Vazquez Sabariego, Ruth ULg et al

in IEEE Transactions on Magnetics (2011), 47(5), 1158-1161

A subproblem finite-element method is developed for correcting the inaccuracies near edges and corners inherent to thin shell models, for both magnetostatic and magnetodynamic problems. A thin shell ... [more ▼]

A subproblem finite-element method is developed for correcting the inaccuracies near edges and corners inherent to thin shell models, for both magnetostatic and magnetodynamic problems. A thin shell solution, supported by a simplified mesh near the thin structures, serves as a source of a correction problem with the actual volumic thin regions alone in a homogeneous medium, concentrating the meshing effort on the thin regions only. Improvements of local fields are efficiently achieved and allow accurate force and loss calculations. [less ▲]

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See detailFinite Element Computational Homogenization of Nonlinear Multiscale Materials in Magnetostatics
Niyonzima, Innocent ULg; V Sabariego, Ruth ULg; Dular, Patrick ULg et al

in 18th Conference on the Computation of Electromagnetic Fields (COMPUMAG2011) (2011)

This paper deals with the modelling of nonlinear multiscale materials in magnetostatics by means of a finite element computational homogenization method. The method couples a macroscale problem with many ... [more ▼]

This paper deals with the modelling of nonlinear multiscale materials in magnetostatics by means of a finite element computational homogenization method. The method couples a macroscale problem with many microscale problems. During the upscaling step, the homogenized magnetic permeability and its derivative with respect to the magnetic field are calculated from the microscale solution and transferred to the macroscale. The downscaling step consists in imposing proper boundary conditions for the microscale problems from the macroscale solution. Results are validated by comparison with those obtained with classical finite element brute force approach. [less ▲]

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See detailA Model Reduction Algorithm for Solving Multiple Scattering Problems Using Iterative Methods
Vion, Alexandre ULg; Vazquez Sabariego, Ruth ULg; Geuzaine, Christophe ULg

in IEEE Transactions on Magnetics (2011), 47(5), 1470-1473

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See detailRefinement of Non-Linear Magnetic Models via a Finite Element Subproblem Method
Dular, Patrick ULg; Krähenbühl, Laurent; V Sabariego, Ruth ULg et al

(2011)

Model refinements of non-linear magnetic circuits are performed via a finite element subproblem method. A com- plete problem is split into subproblems to allow a progression from 1-D to 3-D including ... [more ▼]

Model refinements of non-linear magnetic circuits are performed via a finite element subproblem method. A com- plete problem is split into subproblems to allow a progression from 1-D to 3-D including linear to non-linear model corrections. Its solution is then expressed as the sum of the subproblem solu- tions supported by different meshes. A convenient and robust correction procedure is proposed allowing independent overlapping meshes for both source and reaction fields. It simplifies both meshing and solving processes, and quantifies the gain given by each refinement on both local fields and global quantities. [less ▲]

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See detailComputation of induced fields into the human body by using dual formulations
Scorretti, Riccardo; V Sabariego, Ruth ULg; Morel, L. et al

(2011)

In this work we present the use of two dual formulations to compute Extremely Low frequency (ELF) induced fields into the human body. This allows to estimate the numerical error, as well as rigorously ... [more ▼]

In this work we present the use of two dual formulations to compute Extremely Low frequency (ELF) induced fields into the human body. This allows to estimate the numerical error, as well as rigorously bound the (global) co-energy. This method is here applied to the classical case of the exposure to a homogeneous magnetic field. [less ▲]

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See detailNumerical dosimetry of elf fields by using dual formulations
Scorretti, Riccardo; V Sabariego, Ruth ULg; Geuzaine, Christophe ULg et al

in Proceedings of 10th International Conference of the European Bioelectromagnetics Association (EBEA2011) (2011)

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See detailStochastic Uncertainty Quantification of Eddy Currents in the Human Body by Polynomial Chaos Decomposition
Gaignaire, Roman ULg; Scorretti, Riccardo; V Sabariego, Ruth ULg et al

(2011)

The finite element method can be used to compute the electromagnetic fields induced into the human body by envi- ronmental extremely low frequency fields. However, the electric properties of tissues are ... [more ▼]

The finite element method can be used to compute the electromagnetic fields induced into the human body by envi- ronmental extremely low frequency fields. However, the electric properties of tissues are not precisely known and may vary depending on the individual, his/her age and other physiological parameters. We propose to account for some uncertainties on the conductivities of the brain tissues and to spread them out to the induced fields by means of a non-intrusive approach based on the chaos Hermite polynomial with the finite element method as a black box [3], [4]. [less ▲]

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See detailTime-Domain Surface Impedance Boundary Conditions Enhanced by Coarse Volume Finite-Element Discretisation
V Sabariego, Ruth ULg; Geuzaine, Christophe ULg; Dular, Patrick ULg et al

(2011)

The time-domain surface impedance boundary conditions allow to accurately account for the high-frequency flux components while removing the massive conducting regions from the computation domain. In this ... [more ▼]

The time-domain surface impedance boundary conditions allow to accurately account for the high-frequency flux components while removing the massive conducting regions from the computation domain. In this paper, a coarse volume finite-element discretization of the conductors together with a fictitious frequency-dependent conductivity are added to capture the slow varying flux components. This hybrid approach extends thus the frequency range of these impedance conditions. A 2-D test case illustrates the method. [less ▲]

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See detailConsidering Laminated Cores and Eddy Currents in 2D and 3D Finite Element Simulation of Electrical Machines
Gyselinck, Johan; Geuzaine, Christophe ULg; V Sabariego, Ruth ULg

(2011)

This paper deals with a time-domain homogeniza- tion method for laminated cores and its application to the 2D finite element simulation of rotating electrical machines. The number of additional degrees of ... [more ▼]

This paper deals with a time-domain homogeniza- tion method for laminated cores and its application to the 2D finite element simulation of rotating electrical machines. The number of additional degrees of freedom of the model, for considering the variation of the flux density along the lamination thickness, can be tuned so as to reach a good compromise between accuracy and computation time. The results obtained for a switched reluctance motor agree very well with those produced by a precise full 3D model in which eddy currents are explicitly modeled. [less ▲]

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See detailHigh Quality Surface Remeshing Using Harmonic Maps. Part II: Surfaces with High Genus and of Large Aspect Ratio
Marchandise, E.; Carton de Wiart, C.; Vos, W. et al

in International Journal for Numerical Methods in Engineering (2011), 86(11), 1303-1321

Detailed reference viewed: 28 (1 ULg)
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See detailQuality open source mesh generation for cardiovascular flow simulations
Marchandise, E.; Crosetto, P.; Geuzaine, Christophe ULg et al

in Ambrosi, D.; Quarteroni, A.; Rozza, G. (Eds.) Modelling Physiological Flow (2011)

Detailed reference viewed: 94 (3 ULg)
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See detailQuasi-Optimal Convergence of Non Overlapping Domain Decomposition Method: the Helmholtz Equation
Boubendir, Y.; Antoine, X.; Geuzaine, Christophe ULg

in Proceedings of the AMS 2010 Fall Central Section Meeting (2010, November)

Detailed reference viewed: 24 (1 ULg)
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See detailHigh Quality Surface Remeshing Using Harmonic Maps: Surfaces with High Genus and of Large Aspect Ratio
Remacle, J.-F.; Geuzaine, Christophe ULg; Marchandise, E.

in Proceedings of the Third Workshop on Grid Generation for Numerical Computations, Tetrahedron III (2010, September)

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See detailAn Amplitude Finite Element Formulation for Multiple-Scattering by a Collection of Convex Obstacles
Geuzaine, Christophe ULg; Vion, Alexandre ULg; Gaignaire, Roman ULg et al

in IEEE Transactions on Magnetics (2010), 46(8), 2963-2966

We present a multiple-scattering solver for nonconvex geometries obtained as the union of a finite number of convex obstacles. The algorithm is a finite element reformulation of a high-frequency integral ... [more ▼]

We present a multiple-scattering solver for nonconvex geometries obtained as the union of a finite number of convex obstacles. The algorithm is a finite element reformulation of a high-frequency integral equation technique proposed previously. It is based on an iterative solution of the scattering problem, where each iteration leads to the resolution of a single scattering problem in terms of a slowly oscillatory amplitude. [less ▲]

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See detailFinite Element Magnetic Models via a Coupling of Subproblems of Lower Dimensions
Dular, Patrick ULg; V Sabariego, Ruth ULg; Geuzaine, Christophe ULg et al

in IEEE Transactions on Magnetics (2010), 46(8), 2827-2830

Model refinements of magnetic circuits are performed via a subdomain finite element method based on a perturbation technique. A complete problem is split into subproblems, some of lower dimensions, to ... [more ▼]

Model refinements of magnetic circuits are performed via a subdomain finite element method based on a perturbation technique. A complete problem is split into subproblems, some of lower dimensions, to allow a progression from 1-D to 3-D models. Its solution is then expressed as the sum of the subproblem solutions supported by different meshes. A convenient and robust correction procedure is proposed allowing independent overlapping meshes for both source and reaction fields, the latter being free of cancellation error in magnetic materials. The procedure simplifies both meshing and solving processes, and quantifies the gain given by each model refinement on both local fields and global quantities. [less ▲]

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See detailStochastic Uncertainty Quantification of the Conductivity in EEG Source Analysis by Using Polynomial Chaos Decomposition
Gaignaire, Roman ULg; Crevecoeur, Guillaume; Dupré, Luc et al

in IEEE Transactions on Magnetics (2010), 46(8), 3457-3460

The electroencephalogram (EEG) is one of the techniques used for the non-invasive diagnosis of patients suffering from epilepsy. EEG source localization identifies the neural activity, starting from ... [more ▼]

The electroencephalogram (EEG) is one of the techniques used for the non-invasive diagnosis of patients suffering from epilepsy. EEG source localization identifies the neural activity, starting from measured EEG. This numerical localization procedure has a resolution, which is difficult to determine due to uncertainties in the EEG forward models. More specifically, the conductivities of the brain and the skull in the head models are not precisely known. In this paper, we propose the use of a non-intrusive stochastic method based on a polynomial chaos decomposition for quantifying the possible errors introduced by the uncertain conductivities of the head tissues. The accuracy and computational advantages of this non-intrusive method for EEG source analysis is illustrated. Further, the method is validated by means of Monte Carlo simulations. [less ▲]

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See detailSurface-Impedance Boundary Conditions in Dual Time-Domain Finite-Element Formulations
V Sabariego, Ruth ULg; Dular, Patrick ULg; Geuzaine, Christophe ULg et al

in IEEE Transactions on Magnetics (2010), 46(8), 3524-3531

This paper deals with time-domain surface-impedance boundary conditions in computational magnetodynamics considering two dual finite-element formulations and a nonlinear magnetic constitutive law. Based ... [more ▼]

This paper deals with time-domain surface-impedance boundary conditions in computational magnetodynamics considering two dual finite-element formulations and a nonlinear magnetic constitutive law. Based on the resolution of the 1-D eddy-current problem in a semi-infinite slab, the massive conducting region is accounted for by choosing a number of exponentially decreasing trigonometric basis functions covering the relevant frequency range of the application in hand. Herein the method is elaborated for the magnetic-vector- potential formulation and the magnetic-field formulation. Results for both formulations are compared and validated on 2-D linear and nonlinear test cases. [less ▲]

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See detailToward Convergent Methods for High-Frequency Wave Problems
Geuzaine, Christophe ULg

Scientific conference (2010, July 15)

Detailed reference viewed: 13 (7 ULg)