The convergence of classical Schwarz methods applied to convection--diffusion problems with regular boundary layers

DOI10.1016/S0168-9274(01)00177-5zbMath1016.65075OpenAlexW2033418637MaRDI QIDQ1862004

H. MacMullen, G. I. Shishkin, Eugene O'Riordan

Publication date: 10 March 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(01)00177-5

zbMATH Keywords

convergencesingular perturbationconvection-diffusion equationartificial Dirichlet interface conditionscontinuous iterative Schwarz methodregular boundary layersShishkin interface positions

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Quasi-optimized Schwarz methods for reaction diffusion equations with time delay ⋮ Convergence of the multiplicative Schwarz method for singularly perturbed convection-diffusion problems discretized on a Shishkin mesh ⋮ Unnamed Item ⋮ Sequential and parallel domain decomposition methods for a singularly perturbed parabolic convection-diffusion equation ⋮ Unnamed Item ⋮ AN OVERLAPPING SCHWARZ METHOD FOR SINGULARLY PERTURBED FOURTH-ORDER CONVECTION-DIFFUSION TYPE

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