A tailored finite point method for convection-diffusion-reaction problems

DOI10.1007/s10915-010-9354-5zbMath1203.65151OpenAlexW1984318256MaRDI QIDQ618573

R. Bruce Kellogg, Peishan Tsai, Yin-Tzer Shih

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-010-9354-5

zbMATH Keywords

finite elementboundary layerconvection-diffusion-reactioninternal layertailored finite point

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (9)

A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems ⋮ A semi-discrete tailored finite point method for a class of anisotropic diffusion problems ⋮ Tailored finite point methods for solving singularly perturbed eigenvalue problems with higher eigenvalues ⋮ A higher order implicit adaptive finite point method for the Burgers' equation ⋮ An interwoven composite tailored finite point method for two dimensional unsteady Burgers' equation ⋮ A Uniformly Convergent Scheme for Radiative Transfer Equation in the Diffusion Limit Up to the Boundary and Interface Layers ⋮ Tailored finite point method for solving one-dimensional Burgers' equation ⋮ Characteristic tailored finite point method for convection-dominated convection-diffusion-reaction problems ⋮ A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains

Cites Work

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• Necessary \(L^ 2\)-uniform convergence conditions for difference schemes for two-dimensional convection-diffusion problems
• Modified streamline diffusion schemes for convection-diffusion problems
• Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element Methods
• Boundary Layers in Linear Elliptic Singular Perturbation Problems

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