Titlebook: Large-Scale Scientific Computing; 7th International Co Ivan Lirkov,Svetozar Margenov,Jerzy Waśniewski Conference proceedings 2010 Springer-

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On Some Stability Properties of the Richardson Extrapolation Applied Together with the ,-Methodnd (c) .(.) is given. The .-method is applied to solve approximately the system of ODEs on a set of prescribed grid-points. If . is the number of time-steps that are to be carried out, then this numerical method can be defined by using the following set of relationships .. = .. + . (1 − .) .(.., ..)

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On the Use of Aggregation-Based Parallel Multilevel Preconditioners in the LES of Wall-Bounded Turbudy simulation of turbulent incompressible flows in wall-bounded domains. These systems, coming from the discretization of elliptic equations with periodic and Neumann boundary conditions, are large and sparse, singular, compatible, and nonsymmetric because of the use of non-uniform grids taking into

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An Additive Matrix Preconditioning Method with Application for Domain Decomposition and Two-Level Ma limit the number of iterations one must then use an efficient preconditioner which can significantly reduce the condition number of the given problem and, at the same time, is highly parallelizable. In this paper we describe and analyse such a preconditioner, which is based on local subdomain inver

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A Scalable TFETI Based Algorithm for 2D and 3D Frictionless Contact Problemss of elasticity. The algorithms combine the TFETI based domain decomposition method adapted to the solution of 2D and 3D frictionless multibody contact problems of elasticity with our in a sense optimal algorithms for the solution of the resulting quadratic programming problems. Rather surprisingly,

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