Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density

verfasst von

S. Beuchler, A. Demircan, B. Endtmayer, U. Morgner, T. Wick

Abstract

In this work, we develop adaptive schemes using goal-oriented error control for a highly nonlinear flow temperature model with temperature dependent density. The dual-weighted residual method for computing error indicators to steer mesh refinement and solver control is employed. The error indicators are used to employ adaptive algorithms, which are substantiated with several numerical tests. Therein, error reductions and effectivity indices are consulted to establish the robustness and efficiency of our framework.

Organisationseinheit(en)

Institut für Angewandte Mathematik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
Institut für Quantenoptik

Typ

Artikel

Journal

Computers and Mathematics with Applications

Band

175

Seiten

138-151

Anzahl der Seiten

14

ISSN

0898-1221

Publikationsdatum

24.09.2024

Publikationsstatus

Elektronisch veröffentlicht (E-Pub)

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Modellierung und Simulation, Theoretische Informatik und Mathematik, Computational Mathematics

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2404.01823 (Zugang: Offen)
https://doi.org/10.1016/j.camwa.2024.09.017 (Zugang: Offen)