Identity for deviations from the exact solution of the problem \( \Lambda^\ast\mathcal{A}\Lambda u + \ell = 0\) and its implications

DOI10.1134/S0965542521120113zbMath1493.65228OpenAlexW4205787525MaRDI QIDQ2066324

Sergey I. Repin

Publication date: 14 January 2022

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

Full work available at URL: https://doi.org/10.1134/s0965542521120113

zbMATH Keywords

elliptic equationsa posteriori accuracy estimates for approximate solutionsestimates of deviation from exact solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45)

Related Items (3)

Error identities for the reaction-convection-diffusion problem and applications to a posteriori error control ⋮ A posteriori identities for measures of deviation from exact solutions of nonlinear boundary value problems ⋮ Error control for approximate solutions of a class of singularly perturbed boundary value problems

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