Finite elements on locally uniform meshes for convection-diffusion problems with boundary layers

DOI10.1007/s00607-011-0144-1zbMath1228.65129OpenAlexW2043312277MaRDI QIDQ644876

Martin Schopf, Hans-Goerg Roos

Publication date: 7 November 2011

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-011-0144-1

zbMATH Keywords

convergencesingular perturbationfinite element methodnumerical examplesconvection-diffusion problemboundary layerslayer-adapted meshesBakhvalov-type mesheslocally uniform meshes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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Cites Work

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