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

2019/12/10 by Bernhard Endtmayer, Endtmayer, B., Ulrich Langer +5
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1912.04819

openalex publication_date 2019/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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, 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

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