Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
An Improved Arrow–Hurwicz Method for the Steady-State Navier–Stokes Equations
Date
2023-06-01
Author
Takhirov, Aziz
Çıbık, Aytekin Bayram
Eroğlu, Fatma Güler
Kaya Merdan, Songül
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
160
views
0
downloads
Cite This
This paper presents a novel Arrow–Hurwicz type method for approximating the steady-state Navier Stokes equations using the finite element method. The novel method is inspired from artificial compressibility regularization of unsteady incompressible flows and allows one to circumvent solving saddle-point equations. We derive uniform boundedness and convergence to the exact solution whenever the small data condition for uniqueness of the solution is satisfied. A two-grid version of the scheme is also discussed. Numerical schemes show that the novel scheme significantly accelerates the convergence, without any additional computational cost or decreased accuracy.
URI
https://hdl.handle.net/11511/104635
Journal
JOURNAL OF SCIENTIFIC COMPUTING
DOI
https://doi.org/10.1007/s10915-023-02277-4
Collections
Department of Mathematics, Article
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
A. Takhirov, A. B. Çıbık, F. G. Eroğlu, and S. Kaya Merdan, “An Improved Arrow–Hurwicz Method for the Steady-State Navier–Stokes Equations,”
JOURNAL OF SCIENTIFIC COMPUTING
, vol. 96, pp. 1–21, 2023, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/104635.