English

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

Numerical Analysis 2019-12-11 v1 Numerical Analysis

Abstract

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, SISCSISC, 2019, accepted]. We now focus on hh mesh refinement and pp enrichment for the error estimator. These advancements are demonstrated with the help of a numerical example

Keywords

Cite

@article{arxiv.1912.04819,
  title  = {Hierarchical DWR Error Estimates for the Navier Stokes Equation: $h$ and $p$ Enrichment},
  author = {B. Endtmayer and U. Langer and J. P. Thiele and T. Wick},
  journal= {arXiv preprint arXiv:1912.04819},
  year   = {2019}
}