Solution decompositions for linear convection-diffusion problems

DOI10.4171/ZAA/1073zbMath1012.34020OpenAlexW2046147847MaRDI QIDQ1607610

Torsten Linss

Publication date: 9 June 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1073

zbMATH Keywords

singular perturbationconvection-diffusionsolution decomposition

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)

Related Items (10)

Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh ⋮ Uniform convergence of a weak Galerkin method for singularly perturbed convection-diffusion problems ⋮ An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer ⋮ Layer-adapted meshes for convection-diffusion problems ⋮ Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes ⋮ Supercloseness of weak Galerkin method on Bakhvalov-type mesh for a singularly perturbed problem in 1D ⋮ On a convection-diffusion problem with a weak layer ⋮ Singularly perturbed differential equations with discontinuous coefficients and concentrated factors ⋮ Uniform convergence of finite element methods on Bakhvalov-type meshes in the case of \(N^{-1}\leq\varepsilon\) ⋮ A robust layer-resolving spline collocation method for a convection-diffusion problem

Cites Work

• A uniform numerical method for quasilinear singular perturbation problems without turning points
• Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh
• The optimization of methods of solving boundary value problems with a boundary layer
• Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
• Optimal convergence of basic schemes for elliptic boundary value problems with strong parabolic layers.
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