Details
| Original language | English |
|---|---|
| Pages (from-to) | 138-151 |
| Number of pages | 14 |
| Journal | Computers and Mathematics with Applications |
| Volume | 175 |
| Early online date | 24 Sept 2024 |
| Publication status | Published - 1 Dec 2024 |
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.
Keywords
- Adaptivity, Finite elements, Multigoal error estimation, Navier-Stokes, Nonlinear PDEs
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
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In: Computers and Mathematics with Applications, Vol. 175, 01.12.2024, p. 138-151.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density
AU - Beuchler, S.
AU - Demircan, A.
AU - Endtmayer, B.
AU - Morgner, U.
AU - Wick, T.
N1 - Publisher Copyright: © 2024 The Author(s)
PY - 2024/12/1
Y1 - 2024/12/1
N2 - 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.
AB - 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.
KW - Adaptivity
KW - Finite elements
KW - Multigoal error estimation
KW - Navier-Stokes
KW - Nonlinear PDEs
UR - http://www.scopus.com/inward/record.url?scp=85204612763&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2404.01823
DO - 10.48550/arXiv.2404.01823
M3 - Article
AN - SCOPUS:85204612763
VL - 175
SP - 138
EP - 151
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
SN - 0898-1221
ER -