Iterative domain decomposition algorithms for a convection-diffusion problem

DOI10.1016/S0898-1221(04)90041-7zbMath1066.65140MaRDI QIDQ1767769

Vic Duoba, Igor P. Boglaev

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical resultsconvection-diffusion problemdomain decomposition methodsparallel computingfinite difference methodssingularly perturbation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

A brief survey on numerical methods for solving singularly perturbed problems

Cites Work

• On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Uniform Convergence of the Schwarz Alternating Method for Solving Singularly Perturbed Advection-Diffusion Equations
• Parallel algorithms for a singularly perturbed parabolic problem
• A Parallel Schwarz Method for a Convection-Diffusion Problem
• A Schwarz Alternating Procedure for Singular Perturbation Problems
• A note on the conditioning of upwind schemes on Shishkin meshes
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