[PDF] Top 20 Robust domain decomposition methods for symmetric positive definite problems

... For problems with heterogeneous coefficients Algebraic Multigrid Techniques may build aggregates (the multigrid counterpart for subdomains) which do not resolve the hetero- geneities and hence may lead ... Voir le document complet

... in domain decomposition (DD) methods since they are naturally well-fitted to modern parallel ...architectures. For specific systems of partial differential equations with a saddle point ... Voir le document complet

... architectures for solving linear positive definite systems using overlapping decompositions with many ...nonlinear problems (namely in the field of nonlinear elasticity) and we should be able ... Voir le document complet

... ity for domain decomposition methods. For matrices arising from problems with smooth coefficients, it is possible to build efficient coarse spaces based on domain wise ... Voir le document complet

... developed for DTI that guarantee positive diffusivity, such as the Rie- mannian ...framework. Positive diffusivity is an important constraint in diffusion MRI since it represents the physical ... Voir le document complet

... Square decomposition We now carry out a square decomposition of the rolling shutters in 15  2 , 15  3 and 15  4 subdo- ...2 for a given example with 16 slats and 15  2subdomains (26 ¯oating ... Voir le document complet

... multipliers to enforce conditions (5.8)-(5.9). Note also that one can use Hilbert spaces including L 2 -jumps to model fractures (see the recent paper [28]). Obviously, the numerical results can be improved in different ... 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 wellposed- ness of the ... Voir le document complet

... Domain decomposition for coupling finite and boundary element methods in EEG Emmanuel Olivi 1 , Maureen Clerc 1 and Th´eodore Papadopoulo 1 1 INRIA Odyss´ee Project-Team, Sophia Antipolis, ... Voir le document complet

... Condition, Domain Decomposition Method, Transmission Condition, Helmholtz equation, Corners, Time-harmonic 1 Introduction The analysis of Domain Decomposition Methods (DDM) [11] ... Voir le document complet

... (ii) The n-ary band (X, F) is isomorphic to ({` x ∶ x ∈ X}, ○ n −1 ). (iii) The n-ary band (X, F) is an n-ary semilattice. Also, the map ` enables us to characterize those symmetric n-ary bands that are reducible ... Voir le document complet

... of symmetric matrices [21] [26] [54] [47] [53], in which case they may enjoy symmetries in some modes but not in ...treat symmetric tensors as a collection of symmetric matrix slices [55] [57] ...of ... Voir le document complet

... β for Log ...conditionally positive definite kernels. In particular, conditionally positive definite kernels have been proved to be suitable for SVM ...conditionally ... Voir le document complet

... algorithm for decomposing a symmetric tensor of dimension n and order d as a sum of of rank-1 symmetric tensors, extending the algorithm of Sylvester devised in 1886 for symmetric ... Voir le document complet

... Unité de recherche INRIA Lorraine, Technopôle de Nancy-Brabois, Campus scientiøque, 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LÈS NANCY Unité de recherche INRIA Rennes, Irisa, C[r] ... Voir le document complet

... the robust penalization function ψ but with load-demand balance equations) is so large with the data instances described above, that it cannot be solved (to any decent precision) by a monolithic solver ...model ... Voir le document complet

... a decomposition of an element v in the orbit of (X), one can proceed as follows: a generic line through v meets σ3 G(3, C 7 )
in 7 points since σ3 G(3, C 7 )
is a hypersurface of degree 7; pick a generic line ... Voir le document complet

... IV. H IGH O RDER D ISCRETIZATIONS Classically, DDM implementations make use of the standard N´ed´elec basis functions [4]. Here we analyze the behav- ior of the DDM when higher order bases are used, which are paramount ... Voir le document complet

... Résumé. Les équations de Maxwell en régime harmonique comportent plusieurs difficultés lorsque la fréquence est élevée. On peut notamment citer le fait que leur formulation variationnelle n’est pas définie ... Voir le document complet

... accuracy for problems with heterogeneous media [4], and we have observed that it accelerates the convergences of the DDM for the Marmousi benchmark (results not shown ...compared for dif- ... Voir le document complet