Quasi-\textit{a priori} truncation error estimation and higher-order extrapolation for non-linear partial differential equations
From MaRDI portal
Publication:348140
DOI10.1016/j.jcp.2013.07.018zbMath1349.65577OpenAlexW2005728335MaRDI QIDQ348140
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
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
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
