A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation

DOI10.1090/S0025-5718-01-01392-8zbMath1008.65083OpenAlexW2165053901MaRDI QIDQ4780372

Howard C. Elman, Alison Ramage

Publication date: 19 November 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01392-8

zbMATH Keywords

convection-diffusion equationGalerkin finite element methodboundary layersoscillationsPéclet number

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

Matrix-equation-based strategies for convection-diffusion equations ⋮ Covolume-upwind finite volume approximations for linear elliptic partial differential equations ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems ⋮ Adaptive anisotropic meshing for steady convection-dominated problems ⋮ Fourier analysis of multigrid for a model two-dimensional convection-diffusion equation ⋮ An Improved Method for Solving Quasi-linear Convection Diffusion Problems on a Coarse Mesh ⋮ Optimal weighted upwind finite volume method for convection-diffusion equations in 2D

Cites Work

• Numerical crosswind smear in the streamline diffusion method
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
• An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation
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