Conditional ɛ-uniform convergence of adaptive algorithms in the finite element method as applied to singularly perturbed problems

DOI10.1134/S0965542510090022zbMath1224.65257MaRDI QIDQ2995990

N. V. Dobrobog, Igor A. Blatov

Publication date: 4 May 2011

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

zbMATH Keywords

\(\varepsilon\)-uniform convergencereaction-diffusion equationsadaptive gridGalerkin projectorquasioptimalitypiecewise-uniform grid

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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

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