A uniform finite element method for a conservative singularly perturbed problem

DOI10.1016/0377-0427(87)90014-8zbMath0627.65094OpenAlexW2021111683MaRDI QIDQ1092629

Martin Stynes, Eugene O'Riordan

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90014-8

zbMATH Keywords

small parameterboundary layersingular perturbation problemFinite elements

Mathematics Subject Classification ID

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)

Related Items

Limitations of Richardson's extrapolation for a high order fitted mesh method for self-adjoint singularly perturbed problems, The \(p\)-version of the finite element method for a singularly perturbed boundary value problem, On Richardson extrapolation for fitted operator finite difference methods, A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Cites Work

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• A uniformly convergent difference scheme for a semilinear singular perturbation problem
• Singularly perturbed finite element methods
• Adaptivity and Error Estimation for the Finite Element Method Applied to Convection Diffusion Problems
• A Uniformly Accurate Finite Element Method for a Singular Perturbation Problem in Conservative Form
• A Conservative Uniformly Accurate Difference Method for a Singular Perturbation Problem in Conservation Form
• The Multivariable Method in Singular Perturbation Analysis