Results 11 to 20 of about 59,261 (316)
Parallel Multilevel Preconditioners [PDF]
In this paper, we provide techniques for the development and analysis of parallel multilevel preconditioners for the discrete systems which arise in numerical approximation of symmetric elliptic boundary value problems. These preconditioners are defined as a sum of independent operators on a sequence of nested subspaces of the full approximation space.
Bramble, J.H. +2 more
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Support-Graph Preconditioners [PDF]
The authors extend the ``support-graph preconditioning'' technique, introduced by \textit{Y. Notay} [Lect. Notes Math. 1457, 105--125 (1990; Zbl 0722.65012); Linear Algebra 154--156, 711--722 (1991; Zbl 0735.65028); Appl. Numer. Math. 10, No. 5, 381--396 (1992; Zbl 0756.65049)], \textit{R. Beauwens} [Linear Algebra Appl.
Bern, Marshall +4 more
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Communication Avoiding ILU0 Preconditioner [PDF]
Summary: In this paper we present a communication avoiding ILU0 preconditioner for solving large linear systems of equations by using iterative Krylov subspace methods. Recent research has focused on communication avoiding Krylov subspace methods based on so-called \(s\)-step methods.
Grigori, Laura, Moufawad, Sophie
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Absolute value preconditioning for symmetric indefinite linear systems [PDF]
We introduce a novel strategy for constructing symmetric positive definite (SPD) preconditioners for linear systems with symmetric indefinite matrices.
Andrew V. Knyazev +4 more
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In this work, by introducing a scalar matrix αI, we transform the complex symmetric indefinite linear systems (W+iT)x=b into a block two-by-two complex equations equivalently, and propose an efficient relaxed shift-splitting (ERSS) preconditioner.
Qian Li, Qianqian Yuan, Jianhua Chen
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Efficient modeling of antennas with finite conductivity using calderón preconditioning [PDF]
A Calderon preconditioner for a novel single-source integral equation, which allows the simulation of high dielectric contrasts and lossy conductors, is introduced. It is shown that this preconditioner avoids breakdown when simulating scattering problems
De Zutter, Daniël +3 more
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The ILUCP Preconditioner [PDF]
AbstractWe introduce a new incomplete LU‐type preconditioner which combines the advantages of Crout's formulation of Gaussian elimination with pivoting. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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A weakly overlapping parallel domain decomposition preconditioner for the finite element solution of convection-dominated problems in three dimensions [PDF]
In this paper we describe the parallel application of a novel two level additive Schwarz preconditioner to the stable finite element solution of convection-dominated problems in three dimensions. This is a generalization of earlier work, [2,6], in 2-
Jimack, P.K., Nadeem, S.A.
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Recently, regime-switching option pricing based on fractional diffusion models has been used, which explains many significant empirical facts about financial markets better.
Wu Shuang +3 more
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This document presents a technique for the generation of Sparse Inverse Preconditioners based on the near field coupling matrices of Method of Moments simulations where the geometry has been partitioned in terms of regions.
Carlos Delgado +2 more
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