[PDF] Top 20 Domain Decomposition Methods for Time-Harmonic Electromagnetic Waves with High Order Whitney Forms

... higher order bases are used, which are paramount to the accurate solution of high frequency propagation problems, thanks to their improved dispersion properties ...the high order hierarchical ... 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 ...(FEM) with an ... Voir le document complet

... technique with these traditional imaging modalities is microwave tomography. With microwave imaging, at frequencies of the order of 1 GHz, the tissues are well differentiated and they can be imaged ... Voir le document complet

... low order finite element technology requires, and will continue to require, too extensive computational resources to provide the necessary resolution for complex simulations, even at the rate of ... Voir le document complet

... and for which electromagnetic fields can be expressed as closed-forms, solutions to Maxwell’s equations are out of reach of hand ...in order to identify the most efficient set of ...in ... Voir le document complet

... system with GMRES (with a tolerance of 10 −6 ), start- ing with a random initial guess, which ensures, unlike a zero initial guess, that all frequencies are present in the ...subdomains ... Voir le document complet

... functions for the high order mixed finite element spaces involved in the discretisation of Darcy’s ...value for a model ...duality with them) does not influence its value but the way ... Voir le document complet

... possible for r > 0: either we keep all the weights or we eliminate the redundancies by making a suitable selection of the ...weights. For the first approach the starting point is the choice of the ... Voir le document complet

... Fabozzi for his support during my first two years in ...Plumier, for being a close friend and a great ...Antoine; for that, I will always be ...Andrianesis, for promptly offering their support ... Voir le document complet

... difference time-domain (FDTD) method, first introduced by Yee in 1966 [13] and later developed by Taflove and others [10], has been used for a broad range of applications in computational ...[12], ... 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

... the high computa- tional cost. Cyclic periodicity is assumed, both for structure and fluid, which allows to solve for only one blade passage and thus drastically reduces the computational ...[24] ... 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

... solvers for indefinite problems, such as Helm- holtz and the time-harmonic version of Maxwell’s equations, has always been a chal- lenging research ...convergent domain decomposition ... Voir le document complet

... unavoidable for the development of optimized DDM with enhanced convergence or stability ...operators with convenient regularity is proposed in [17], but ultimately the problem posed by mesh ... Voir le document complet

... method for solving time-dependent fluid-structure inter- action problem in two or three dimensions that we claim to be efficient, robust and highly ...These methods, based on mixed variational ... Voir le document complet

... method for unsteady flows, it is interesting to take into consideration all the flow ...induce time-periodic forced motion of the ...dedicated methods have been developed during the past ...the ... Voir le document complet

... a high-order geometrical mapping combined with high-order discontinuous Galerkin time-domain (DGTD) method is applied to the solution of the Maxwell equations on ... Voir le document complet

... these 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

... potential for the numerical solution of difficult to solve partial differential equations have led to large amount of re- search in domain decomposition ...methods. Domain ... Voir le document complet