Estimation of goal functional error arising from iterative solution of Euler equations

DOI10.1080/10618560701868453zbMath1184.76765OpenAlexW2079547538MaRDI QIDQ3551630

A. K. Alekseev, I. Michael Navon

Publication date: 15 April 2010

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618560701868453

zbMATH Keywords

Euler equationsadjoint equationsiteration errorgoal functional

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15)

Related Items (1)

Transition between the regular and Mach shock interaction regimes initiated by a temperature disturbance

Cites Work

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• Adjoint correction and bounding of error using Lagrange form of truncation term
• An adjoint-based a posteriori estimation of iterative convergence error
• A diagonal form of an implicit approximate-factorization algorithm
• Regularization techniques for numerical approximation of PDEs with singularities
• Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. I: Error estimates and adaptive algorithms
• Controllability of partial differential equations and its semi-discrete approximations
• Grid adaptation for functional outputs: application to two-dimensional inviscid flows
• Review of preconditioning methods for fluid dynamics
• Estimation of modeling error in computational mechanics.
• Adjoint and defect error bounding and correction for functional estimates
• A posteriori error estimation by postprocessor independent of method of flow field calculation
• Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
• On the approximation of singular source terms in differential equations
• A Posteriori Control of Modeling Errors and Discretization Errors
• A posteriori pointwise error estimation for compressible fluid flows using adjoint parameters and Lagrange remainder
• Perspectives in Flow Control and Optimization
• Local preconditioners for steady and unsteady flow applications
• Variational problems of gas dynamics of nonequilibrium and equilibrium flows

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