![]() Improved Domain Decomposition Method for the Helmholtz EquationThierry, Bertrand ; ; et alin Proceedings of the 21th International Conference on Domain Decomposition Methods (DD21) (2012, June) Detailed reference viewed: 27 (3 ULg) A Model Reduction Algorithm for Solving Multiple Scattering Problems Using Iterative MethodsVion, Alexandre ; Vazquez Sabariego, Ruth ; Geuzaine, Christophe ![]() in IEEE Transactions on Magnetics (2011), 47(5), 1470-1473 Detailed reference viewed: 11 (4 ULg) An Amplitude Finite Element Formulation for Multiple-Scattering by a Collection of Convex ObstaclesGeuzaine, Christophe ; Vion, Alexandre ; Gaignaire, Roman et alin 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 ▲] Detailed reference viewed: 62 (20 ULg) A model reduction algorithm for solving multiple scattering problems using iterative methodsVion, Alexandre ; V Sabariego, Ruth ; Geuzaine, Christophe ![]() 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 ▲] Detailed reference viewed: 35 (10 ULg)![]() Iterative solution of high-frequency multiple-scattering problems using finite elementsGeuzaine, Christophe ; Vion, Alexandre ; V Sabariego, Ruth ![]() in Proceedings of the IVth European Conference on Computational Mechanics (ECCM 2010) (2010) Detailed reference viewed: 34 (16 ULg) |
||