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On preconditioned Krylov subspace methods for discrete convection–diffusion problems

✍ Scribed by Michael P. Chernesky

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
155 KB
Volume
13
Category
Article
ISSN
0749-159X

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✦ Synopsis

We study nonstationary iterative methods for solving preconditioned systems arising from discretizations of the convection-diffusion equation. The preconditioners arise from Gauss-Seidel methods applied to the original system. It is shown that the performance of the iterative solvers is affected by the relationship of the ordering of the underlying grid and the direction of the flow associated with the differential operator. Specifically, only those orderings that follow the flow give fast iterative solvers.

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✍ Miloslav Feistauer; Jan Slavík; Petr Stupka 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 427 KB 👁 3 views

This article is a continuation of the work [M. Feistauer et al., Num Methods PDEs 13 (1997), 163-190] devoted to the convergence analysis of an efficient numerical method for the solution of an initial-boundary value problem for a scalar nonlinear conservation law equation with a diffusion term. Non