[PDF] Top 20 Interior Point Methods With Decomposition For Multicommodity Flow Problems

... 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

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

... scattering problems using finite element techniques is challeng- ing, as such problems lead to very large, complex and indefinite linear ...domain decomposition methods (DDMs) are currently a ... Voir le document complet

... 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

... space with the aim to achieve robustness with respect to heterogeneities in any of the coefficients in the PDEs and the number of ...space for scalar elliptic problems. The proof for DtN ... Voir le document complet

... converge for the Helmholtz ...value problems (BVPs) associated with (1) enjoy many nice properties including the H 1 - coercivity of a(u, v) = ∫ (∇u · ∇v + k 2 u v), the associated bilinear form, and ... Voir le document complet

... 0, for x ∈ R d ...proposed for this class of equations, based on finite difference [37], semi-Lagrangian [28, 43, 45] and finite volume methods ...looking for a fixed point of the ... Voir le document complet

... these methods strongly depends on the transmission condition enforced on the interfaces between the ...approach for domain decomposition configurations with cross-points, where more than two ... Voir le document complet

... fixed-charge multicommodity capacitated network design (FMCND) problem with stochastic ...instances with varying cost and capacity ...As for the instances, we use the deterministic CAP ... Voir le document complet

... , for α < ...stands for the amount of mass (and not the density of mass) passing through a precise point, and it will only be positive on a thin set, standing for the transportation ... Voir le document complet

... network for delivering electricity from producers to ...distances with minimal ...in methods and tools for the optimal daily operation and planning of modern power ...optimization ... Voir le document complet

... numerical methods used for viscoplastic flow simulations over the past three decades can be classified into two ...zones with a very high viscosity, as in the work by Bercovier & Engelman ... Voir le document complet

... occur for instance in the context of reactive flows in porous media, ...]. For Richards equation, the graph p has vertical parts as depicted on Figure 1 ...fixed point procedures with linear ... Voir le document complet

... accordance with Lemma ...0 for odd k and δ ≥ 2 for even k. In this last case, let us point out that the optimal conver- gence is nearly reached once δ ≥ ...agree with the theoretical ... Voir le document complet

... problem with multiple pairs of origins and des- tinations where we want to minimize the maximal relative congestion on the arcs of the network under the restriction that the number of paths used to carry the traf- ... Voir le document complet

... approach for the parallel solution of high-frequency time-harmonic ...problems. With these methods, subproblems of smaller sizes are solved in parallel using direct solvers, and are combined ... Voir le document complet

... solution methods to solve network design problems, in particular the single-layer ...relaxations for the formulation are the so-called shortest path (commodity-based) and knapsack (arc-based) ... Voir le document complet

... (Ω) to R implies weak continuity from L s (Ω) to R. Thus, it is enough to show the property for s = 2. By corollary 2, the function J 0 is w.l.s.c. hence, adapting the argument of proposition 1 in [2] (which is ... Voir le document complet

... domain decomposition method is interesting for many reasons: it is necessary when one wants to compute the solution on a parallel ...when, for some physical reason, one needs to capture rapidly ... Voir le document complet

... allow for large time steps. After Newton type lineari- zation, one ends up with the solution of a linear system at each Newton iteration which represents up to 90 per- cents of the total simulation elapsed ... Voir le document complet