Adjoint correction and bounding of error using Lagrange form of truncation term

DOI10.1016/j.camwa.2005.05.004zbMath1083.65087OpenAlexW2084986042MaRDI QIDQ813200

A. K. Alekseev, I. Michael Navon

Publication date: 31 January 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.05.004

zbMATH Keywords

Finite difference methodFinite element methodadjoint problemA posteriori error estimationHeat equationNumerical examplesError boundDifferential approximationLagrange truncation term

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

On a posteriori error estimation using distances between numerical solutions and angles between truncation errors ⋮ Estimation of goal functional error arising from iterative solution of Euler equations

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