Schwarz alternating algorithms for a convection-diffusion problem

DOI10.1016/j.amc.2004.04.100zbMath1073.65113OpenAlexW2024210187MaRDI QIDQ1780523

Igor P. Boglaev

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.100

zbMATH Keywords

singular perturbationuniform convergencenumerical experimentsconvection-diffusion problemparallel computingdomain decomposition methodupwind difference scheme

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) 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 (3)

A monotone Schwarz algorithm for a semilinear convection–diffusion problem ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ On the convergence of generalized Schwarz algorithms for solving obstacle problems with elliptic operators

Cites Work

• Unnamed Item
• On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem
• Domain decomposition for an advection--diffusion problem with parabolic layers.
• The solution of a singularly perturbed convection--diffusion problem by an iterative domain decomposition method
• Linear and quasilinear elliptic equations
• 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
• Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems
• A Parallel Schwarz Method for a Convection-Diffusion Problem
• A monotone Schwarz algorithm for a semilinear 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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