[PDF] Top 20 Non overlapping Domain Decomposition Methods for Time Harmonic Wave Problems

... Methods for Time Harmonic Wave Problems Xavier Claeys, Francis Collino, Patrick Joly and Emile Parolin Abstract ...The domain decomposition method (DDM) initially ... Voir le document complet

... conditions for solving time-harmonic Maxwell equations by domain decomposition can be formulated and analyzed in the common framework of optimized Schwarz ...TE-TM decomposition, ... Voir le document complet

... the time-harmonic Maxwell’s equations, ...solver for the direct problem is ...application, for a precise detection of the stroke and the continuous monitoring of the effects of medical ...the ... Voir le document complet

... framework for testing Schwarz-type domain decomposition methods for time-harmonic wave ...Such problems are known to be computationally challeng- ing, ... Voir le document complet

... Classically, domain decomposition methods (DDM) for time-harmonic electromagnetic wave propagation problems make use of the standard, low order, N´ed´elec basis ... Voir le document complet

... plane wave by a PEC sphere, %CPU ranges from 58% to ...obtained for the omputations ondu ted with mesh M1 (see Table 1) whi h is due to the fa t that the underlying mesh is too oarse and the ommuni ation ... Voir le document complet

... with initial condition u 0 , nonlinearity strength κ > 0 and smooth potential V (x) > 0. When κ = 0, (1) refers to as the Linear Schr¨ odinger Equation (LSE). The objective of the letter is the derivation of ... Voir le document complet

... fan for flutter problems. The critical diameter is the same for both operating points and both time-integration ...the harmonic analysis of the wall pressure at 90% of the blade span ... Voir le document complet

... computational methods, solving three-dimensional time-harmonic electromagnetic wave problems is known to be a challenging topic, especially in the high frequency ...such ... Voir le document complet

... local problems of size (H prec /h) 2 (case H sub ∼ ...iterations for the AS preconditioner), whereas Time denotes the total time (in seconds) including both setup and GMRES solve ...times. ... Voir le document complet

... Galerkin methods enjoy an impressive favor nowadays and are now used in many and various applications [8], taking advantage of their ability to achieve a high order of accuracy by simply choosing suitable basis ... Voir le document complet

... 𝐿 for the wavenumber 𝑘 = ...DDM for time-harmonic wave propagation problems, the theoretical study of the problem is often ignored (no proof of convergence, or even no proof of ... Voir le document complet

... Approximation methods Hybridizable Discontinuous Galerkin Methods B. Cockburn, J. Gopalakrishnan and R. Lazarov. Unified hybridization of discontinuous Galerkin, mixed and continuous Galerkin ... Voir le document complet

... Nonlinear domain decomposition strategies for frictional multi-contact problems Domain decomposition methods (substructuring techniques) are ecient because they allow to ... Voir le document complet

... These methods can also be apply to more general second-order hyperbolic problems, as in electromagnetics, for which symmetric interior penality (IP) DG methods are available [ Grote et ... Voir le document complet

... the domain is to minimize the interfaces between the ...allow for lower communication requirements and a simpler handling of interface ...PDE problems, where DDMs have been mostly applied, the decom- ... Voir le document complet

... high-frequency problems leads to very large, complex and possibly indefinite linear ...well for solving such large systems, and Krylov subspace iterative solvers can exhibit slow convergence or even ... Voir le document complet

... Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES Unit´e de recherche INRIA Rennes, Ir[r] ... Voir le document complet

... computational domain in the numerical solution of partial differential ...classical domain decomposition ...promising for all of the cases that we ...technique for iteratively adapting ... Voir le document complet

... 2 Figure 1. One of the two subdomains in the micromembrane geometry. problem as well as any iterative linear solver (e.g. GMRES [5][6]) when applied to a linear problem. The multiphysics coupling can be handled using a ... Voir le document complet