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Multilevel preconditioning based on discrete symmetrization for convection-diffusion equations

✍ Scribed by Michael Griebel; Gerhard Starke

Book ID
104338462
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
1023 KB
Volume
83
Category
Article
ISSN
0377-0427

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✦ Synopsis

The subject of this paper is an additive multilevel preconditioning approach for convection~liffusion problems. Our particular interest is in the convergence behavior for convection-dominated problems which are discretized by the streamline diffusion method. The multilevel preconditioner is based on a transformation of the discrete problem which reduces the relative size of the skew-symmetric part of the operator. For the constant coefficient case, an analysis of the convergence properties of this multilevel preconditioner is given in terms of its dependence on the convection size. Moreover, the results of computational experiments for more general convection-diffusion problems are presented and our new preconditioner is compared to standard multilevel preconditioning.

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On preconditioned Krylov subspace method
On preconditioned Krylov subspace methods for discrete convection–diffusion problems
✍ Michael P. Chernesky πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 155 KB πŸ‘ 2 views

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