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

authored by

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.

Organisation(s)

Institute of Applied Mathematics
PhoenixD: Photonics, Optics, and Engineering - Innovation Across Disciplines
Institute of Quantum Optics

Type

Article

Journal

Computers and Mathematics with Applications

Volume

175

Pages

138-151

No. of pages

14

ISSN

0898-1221

Publication date

24.09.2024

Publication status

E-pub ahead of print

Peer reviewed

Yes

ASJC Scopus subject areas

Modelling and Simulation, Computational Theory and Mathematics, Computational Mathematics

Electronic version(s)

https://doi.org/10.48550/arXiv.2404.01823 (Access: Open)
https://doi.org/10.1016/j.camwa.2024.09.017 (Access: Open)