Conditional \(\epsilon\)-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems

DOI10.1134/S096554251607006XzbMath1366.65074MaRDI QIDQ519132

E. V. Kitaeva, N. V. Dobrobog, Igor A. Blatov

Publication date: 4 April 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

finite element methoduniform convergencenumerical examplesShishkin mesheslinearapriori error estimatesGalerkin projectorsingularly perturbed two-point boundary value 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) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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