On the accuracy of a posteriori functional error majorants for approximate solutions of elliptic equations

DOI10.1134/S1064562417040287zbMath1376.65139OpenAlexW2752491861MaRDI QIDQ2411806

V. G. Korneev

Publication date: 25 October 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417040287

zbMATH Keywords

error estimatesfinite element methodPoisson equationquasi-uniform grids

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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A note on a posteriori error bounds for numerical solutions of elliptic equations with a piecewise constant reaction coefficient having large jumps ⋮ On error control in the numerical solution of reaction-diffusion equation ⋮ On error control at numerical solution of forth order elliptic equations with strongly discontinuous reaction coefficient

Cites Work

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• Theory and practice of finite elements.
• Functional a posteriori estimates for the reaction-diffusion problem
• Zur Konvergenz von Näherungsverfahren bezüglich verschiedener Normen. (On convergence of approximation methods with respect to various norms)
• Isogeometric Analysis
• Dirichlet–Dirichlet Domain Decomposition Methods for Elliptic Problems

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