Uniformly convergent finite volume difference scheme for 2D convection-dominated problem with discontinuous coefficients

DOI10.1016/J.AMC.2004.04.007zbMath1069.65113OpenAlexW2076268158MaRDI QIDQ1774872

Iliya A. Brayanov

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.007

zbMATH Keywords

singular perturbationuniform convergencenumerical examplesdiscontinuous coefficientsconvection-diffusion problemsShishkin meshinverse-monotone finite volume method

Mathematics Subject Classification ID

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) PDEs with low regular coefficients and/or low regular data (35R05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

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• Numerical solution of a reaction-diffusion elliptic interface problem with strong anisotropy
• The streamline-diffusion method for a convection--diffusion problem with a point source
• Uniform Pointwise Convergence of an Upwind Finite Volume Method on Layer-Adapted Meshes
• Finite Volume Methods for Convection-Diffusion Problems
• Large-Scale Scientific Computing
• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
• Uniform in a small parameter convergence of Samarskii's monotone scheme and its modification for the convection-diffusion equation with a concentrated source

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