scientific article; zbMATH DE number 947511

DOI<657::AID-NUM2>3.0.CO;2-R 10.1002/(SICI)1098-2426(199611)12:6<657::AID-NUM2>3.0.CO;2-RzbMath0862.76056MaRDI QIDQ4716023

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Publication date: 19 November 1996

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zbMATH Keywords

convection-diffusion equationmesh refinementupwind discretizationcell-centered discretizationcentral discretizationparabolic boundary layerlarge Péclet numbervertex-centered discretization

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Diffusion and convection (76R99)

Related Items (12)

On efficient simulation of non-Newtonian flow in saturated porous media with a multigrid adaptive refinement solver ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A tailored finite point method for a singular perturbation problem on an unbounded domain ⋮ Tailored finite point method for a singular perturbation problem with variable coefficients in two dimensions ⋮ Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for semisingularly perturbed reaction–diffusion problems ⋮ Convergence and superconvergence analysis of finite element methods on graded meshes for singularly and semisingularly perturbed reaction-diffusion problems ⋮ Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems ⋮ Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for singularly perturbed reaction-diffusion problems ⋮ Optimal uniform convergence analysis for a singularly perturbed quasilinear reaction–diffusion problem ⋮ Computing flows on general three-dimensional nonsmooth staggered grids ⋮ Convergence analysis of finite element methods for singularly perturbed problems ⋮ Uniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems

Cites Work

• Perturbation methods in applied mathematics
• Special meshes for finite difference approximations to an advection- diffusion equation with parabolic layers
• Use of central‐difference operators for solution of singularly perturbed problems
• On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems
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