Analysis of incomplete factorizations for a nine-point approximation to a convection-diffusion model problem

DOI10.1016/j.cam.2008.06.004zbMath1158.65341OpenAlexW2012411782WikidataQ114202158 ScholiaQ114202158MaRDI QIDQ1002216

Muddun Bhuruth, Ravindra Boojhawon, Ashvin Gopaul, Mohammad Sameer Sunhaloo

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.06.004

zbMATH Keywords

stabilityconvergencefinite difference methodconvection-diffusion equationnumerical examplespreconditioningiterative methodsGMRES iterationsincomplete LU factorizationshigh-order compact scheme

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)

A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems ⋮ On block-circulant preconditioners for high-order compact approximations of convection-diffusion problems

Cites Work

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• Analysis of algebraic systems arising from fourth‐order compact discretizations of convection‐diffusion equations
• Stability and Fast Algorithms of Incomplete LU Factorization with Zero‐Fill for Nine‐Diagonal Matrices
• Preconditioned iterative methods for the nine-point approximation to the convection-diffusion equation

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