Preconditioned iterative methods for the nine-point approximation to the convection-diffusion equation

DOI10.1016/S0377-0427(01)00362-4zbMath0993.65117OpenAlexW1964577313MaRDI QIDQ5957943

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Publication date: 30 September 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00362-4

zbMATH Keywords

convergencenumerical resultsconvection-diffusion equationGMRESfield of valuesfinite difference schemespreconditionerKrylov subspace methodssparse approximate inversefourth-order schemeharmonic Ritz values

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

On block-circulant preconditioners for high-order compact approximations of convection-diffusion problems ⋮ Analysis of incomplete factorizations for a nine-point approximation to a convection-diffusion model problem

Uses Software

• mctoolbox
• testmatrix

Cites Work

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• How Fast are Nonsymmetric Matrix Iterations?
• Approximate inverse preconditionings for sparse linear systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Parallel Preconditioning with Sparse Approximate Inverses
• Iterative and Parallel Performance of High-Order Compact Systems
• Calculation of Pseudospectra by the Arnoldi Iteration
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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