Finite volume methods with local refinement for convection-diffusion problems

DOI10.1007/BF02262107zbMath0807.65113MaRDI QIDQ1335463

Panayot S. Vassilevski, Ilya D. Mishev, Raytcho D. Lazarov

Publication date: 28 February 1995

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesconvection-diffusion problemsfinite volume methodserror boundsdiscrete maximum principleupwindinggrid refinementsecond-order elliptic equationsmonotone schemesconservative cell-centered approximations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Adaptive refinement for convection-diffusion problems based on a defect-correction technique and finite difference method ⋮ A finite difference discretization method for elliptic problems on composite grids ⋮ Finite difference schemes for two-dimensional miscible displacement flow in porous media on composite triangular grids

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