Layer-adapted meshes for one-dimensional reaction–convection–diffusion problems

DOI10.1515/1569395041931482zbMath1056.65076OpenAlexW2172276040MaRDI QIDQ4825317

Torsten Linss

Publication date: 28 October 2004

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

Full work available at URL: https://doi.org/10.1515/1569395041931482

zbMATH Keywords

convergencesingular perturbationnumerical exampleslayer-adapted meshesupwinded finite element methodreaction-convection-diffusion problems

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Cites Work

• Unnamed Item
• The midpoint upwind scheme
• Analysis of a finite-difference scheme for a singularly perturbed problem with two small parameters.
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• The necessity of Shishkin decompositions

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