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Newton‐Krylov iterative matrix representative spectrum
Authors:NPC Marques  JCF Pereira
Abstract:The concept of a representative spectrum is introduced in the context of Newton‐Krylov methods. This concept allows a better understanding of convergence rate accelerating techniques for Krylov‐subspace iterative methods in the context of CFD applications of the Newton‐Krylov approach to iteratively solve sets of non‐linear equations. The dependence of the representative spectrum on several parameters such as mesh, Mach number or discretization techniques is studied and analyzed. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006
Keywords:Euler  Krylov‐subspace iterative methods  matrix‐free  Newton‐Krylov  convergence acceleration  approximate spectrum
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