Hierarchical DWR Error Estimates for the Navier Stokes Equation: h and p Enrichment

12/10/2019
by   B. Endtmayer, et al.
0

In this work, we further develop multigoal-oriented a posteriori error estimation for the nonlinear, stationary, incompressible Navier-Stokes equations. It is an extension of our previous work [B. Endtmayer, U. Langer, T. Wick: Two-side a posteriori error estimates for the DWR method, SISC, 2019, accepted]. We now focus on h mesh refinement and p enrichment for the error estimator. These advancements are demonstrated with the help of a numerical example

READ FULL TEXT

page 1

page 2

page 3

page 4

research
10/09/2019

A posteriori error estimates for the stationary Navier Stokes equations with Dirac measures

In two dimensions, we propose and analyze an a posteriori error estimato...
research
12/29/2022

A posteriori error analysis and adaptivity for a VEM discretization of the Navier-Stokes equations

We consider the Virtual Element method (VEM) introduced by Beirão da Vei...
research
09/12/2022

Modeling and multigoal-oriented a posteriori error control for heated material processing using a generalized Boussinesq model

In this work, we develop a posteriori error control for a generalized Bo...
research
03/11/2022

A Posteriori Estimates of Taylor-Hood Element for Stokes Problem Using Auxiliary Subspace Techniques

Based on the auxiliary subspace techniques, a hierarchical basis a poste...
research
04/21/2020

An a posteriori error analysis for the equations of stationary incompressible magnetohydrodynamics

Magnetohydrodynamics (MHD) is a continuum level model for conducting flu...
research
01/02/2020

Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations

The a posteriori error estimates are studied for a class of nonlinear st...
research
12/06/2022

Analysis-aware defeaturing of complex geometries

Local modifications of a computational domain are often performed in ord...

Please sign up or login with your details

Forgot password? Click here to reset