Quasi-\textit{a priori} truncation error estimation and higher-order extrapolation for non-linear partial differential equations

DOI10.1016/j.jcp.2013.07.018zbMath1349.65577OpenAlexW2005728335MaRDI QIDQ348140

Mohammad Hasan, M. Dambrine

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.07.018

zbMATH Keywords

multigridfinite volume solversquasi-a priori truncation erroruncertainty estimator

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (6)

A functional oriented truncation error adaptation method ⋮ Comparisons of \(p\)-adaptation strategies based on truncation- and discretisation-errors for high order discontinuous Galerkin methods ⋮ A priori mesh quality metrics for three-dimensional hybrid grids ⋮ Quasi-a priori truncation error estimation in the DGSEM ⋮ Adaptation strategies for high order discontinuous Galerkin methods based on tau-estimation ⋮ A p-multigrid strategy with anisotropic p-adaptation based on truncation errors for high-order discontinuous Galerkin methods

Uses Software

• PETSc
• Wesseling

Cites Work

• Unnamed Item
• The estimation of truncation error by \(\tau \)-estimation revisited
• Mesh quality effects on the accuracy of CFD solutions on unstructured meshes
• Relationship between the truncation errors of centered finite-difference approximations on uniform and nonuniform meshes
• A priori mesh quality estimation via direct relation between truncation error and mesh distortion
• Truncation error analysis of the finite volume method for a model steady convective equation
• On the accuracy of multigrid truncation error estimates
• A comparison of three error estimation techniques for finite volume solutions of compressible flows
• Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
• Review of code and solution verification procedures for computational simulation
• A least square extrapolation method for improving solution accuracy of PDE computations
• Multigrid Techniques
• $\tau$-Extrapolation---Theoretical Foundation, Numerical Experiment, and Application to Navier--Stokes Equations
• A Multigrid Tutorial, Second Edition
• Estimate of the truncation error of finite volume discretization of the Navier-Stokes equations on colocated grids
• Estimation of the truncation error for the linearized, shallow water momentum equations

This page was built for publication: Quasi-\textit{a priori} truncation error estimation and higher-order extrapolation for non-linear partial differential equations