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.

Details

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: 01.12.2024
Publikationsstatus: Veröffentlicht
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 )
PDF: PDF