COMPARISON OF ADAPTIVE MESHES FOR A SINGULARLY PERTURBED REACTION–DIFFUSION PROBLEM

DOI10.3846/13926292.2012.736416zbMath1259.65125OpenAlexW1987421827MaRDI QIDQ4904484

Raimondas Čiegis, Andrej Bugajev

Publication date: 30 January 2013

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2012.736416

zbMATH Keywords

Galerkin methodsingular perturbationnumerical experimentsfinite elementboundary value problemBakhvalov meshShishkin mesha posteriori error estimatesadaptive meshes

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) Error bounds for numerical methods for ordinary differential equations (65L70) 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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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