References of "Vion, Alexandre"
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See detailDouble Sweep Preconditioners for propagation problems solved by Optimized Schwarz Methods
Vion, Alexandre ULg; Geuzaine, Christophe ULg

in Proceedings of the 6th International Conference on Advanced COmputational Methods in ENgineering, ACOMEN 2014 (2014, June)

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See detailDouble sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem
Vion, Alexandre ULg; Geuzaine, Christophe ULg

in Journal of Computational Physics (2014), 266

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See detailDouble sweep preconditioner for Schwarz methods applied to the Helmholtz equation
Vion, Alexandre ULg; Geuzaine, Christophe ULg

in Proceedings of the 22nd International Conference on Domain Decomposition Methods (2013, September)

Observing that the optimized Schwarz algorithm is equivalent to the solution of a linear system, we design a new preconditioner as an approximate inverse of the iteration operator, in the particular case ... [more ▼]

Observing that the optimized Schwarz algorithm is equivalent to the solution of a linear system, we design a new preconditioner as an approximate inverse of the iteration operator, in the particular case of a layered decomposi- tion. We show that it can be rewritten as two independent sequences of subproblem solves (forward and back- ward), hence the name ‘double sweep’. The whole algorithm is implemented as a matrix-free GMRES iteration, that requires no more additional preprocessing than the original algorithm. Numerical experiments indicate that the convergence rate is independent of the wavenumber and number of subdomains when good approximations of the DtN maps are used, in both homogeneous and non-homogeneous cases. [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 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 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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See detailImproved Domain Decomposition Method for the Helmholtz Equation
Thierry, Bertrand ULg; Antoine, X.; Boubendir, Y. et al

in Proceedings of the 21th International Conference on Domain Decomposition Methods (DD21) (2012, June)

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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 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 detailA model reduction algorithm for solving multiple scattering problems using iterative methods
Vion, Alexandre ULg; V Sabariego, Ruth ULg; Geuzaine, Christophe ULg

in Proceedings of the 14th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC2010) (2010, May)

This paper presents a new method for solving scattering problems by multiple objects. A model reduction algorithm based on the Macro Basis Functions (MBFs) method is used to find an approximate solution ... [more ▼]

This paper presents a new method for solving scattering problems by multiple objects. A model reduction algorithm based on the Macro Basis Functions (MBFs) method is used to find an approximate solution within a subspace of solutions, that are the solutions of several single scattering subproblems. Different iterative methods for the generation of the MBFs are compared. The whole process relies on a finite element approach and is applied to convex obstacles scattering. [less ▲]

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See detailIterative solution of high-frequency multiple-scattering problems using finite elements
Geuzaine, Christophe ULg; Vion, Alexandre ULg; V Sabariego, Ruth ULg

in Proceedings of the IVth European Conference on Computational Mechanics (ECCM 2010) (2010)

Detailed reference viewed: 39 (17 ULg)