Domain decomposition for an advection--diffusion problem with parabolic layers.

DOI10.1016/S0096-3003(02)00514-3zbMath1037.65129OpenAlexW2077542633MaRDI QIDQ1412502

Vic Duoba, Igor P. Boglaev

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00514-3

zbMATH Keywords

algorithmconvergenceconvection-diffusion equationnumerical examplesparallel computingShishkin meshdomain decomposition methodexponential boundary layerelliptic problemadvection-diffusion problemsingularly perturbationparabolic layerselliptic layerfinite difference upwind 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

A monotone Schwarz algorithm for a semilinear convection–diffusion problem ⋮ A block monotone domain decomposition algorithm for a semilinear convection--diffusion problem ⋮ Schwarz alternating algorithms for a convection-diffusion problem

Cites Work

• Unnamed Item
• On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem
• Special meshes for finite difference approximations to an advection- diffusion equation with parabolic layers
• A difference approximation of a singularly perturbed boundary-value problem for quasilinear elliptic equations degenerating into first-order equations
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Uniform Convergence of the Schwarz Alternating Method for Solving Singularly Perturbed Advection-Diffusion Equations
• A Schwarz Alternating Procedure for Singular Perturbation Problems
• A note on the conditioning of upwind schemes on Shishkin meshes

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