On a posteriori error estimation using distances between numerical solutions and angles between truncation errors

DOI10.1016/j.matcom.2021.06.014OpenAlexW3173432838MaRDI QIDQ2666292

A. K. Alekseev, A. E. Bondarev

Publication date: 22 November 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.06.014

zbMATH Keywords

truncation errorapproximation erroralgorithmic randomnessensemble of numerical solutionsangle between errorsmeasure concentration effect

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
• Ensemble-type numerical uncertainty information from single model integrations
• Higher-order-accurate upwind schemes for solving the compressible Euler and Navier--Stokes equations
• Adjoint correction and bounding of error using Lagrange form of truncation term
• Implementation of WENO schemes in compressible multicomponent flow problems
• A posteriori estimates for partial differential equations
• A review of some a posteriori error estimates for adaptive finite element methods
• High resolution finite volume scheme for the quantum hydrodynamic equations
• An artificially upstream flux vector splitting scheme for the Euler equations.
• A nonlinear filter for high-order discontinuous Galerkin discretizations with discontinuity resolution within the cell
• Estimation of the distance between true and numerical solutions
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• A posteriori error estimation by postprocessor independent of method of flow field calculation
• Numerical simulation of high Mach number astrophysical jets with radiative cooling
• Multidimensional Geometry, Functions of Very Many Variables, and Probability
• Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics
• On using the Lagrange coefficients for a posteriori error estimation
• Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• High-Dimensional Probability
• Blessing of dimensionality: mathematical foundations of the statistical physics of data
• Geometry and Probability
• Algorithms and Randomness
• Difference schemes for hyperbolic equations with high order of accuracy
• Approximations in elasticity based on the concept of function space
• On the solution of nonlinear hyperbolic differential equations by finite differences

This page was built for publication: On a posteriori error estimation using distances between numerical solutions and angles between truncation errors