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
Reduced order optimal control of the convective FitzHugh-Nagumo equation.
Date
2017-11-10
Author
Karasözen, Bülent
Metadata
Show full item record
Item Usage Stats
48
views
0
downloads
Cite This
URI
https://hdl.handle.net/11511/81266
Collections
Unverified, Conference / Seminar
Suggestions
OpenMETU
Core
Reduced order optimal control of the convective FitzHugh-Nagumo equations
Karasözen, Bülent; KÜÇÜKSEYHAN, TUĞBA (2020-02-15)
In this paper, we compare three model order reduction methods: the proper orthogonal decomposition (POD), discrete empirical interpolation method (DEIM) and dynamic mode decomposition (DMD) for the optimal control of the convective FitzHugh-Nagumo (FHN) equations. The convective FHN equations consist of the semi-linear activator and the linear inhibitor equations, modeling blood coagulation in moving excitable media. The semilinear activator equation leads to a non-convex optimal control problem (OCP). The ...
Reduced order modelling of nonlinear cross-diffusion systems
Karasözen, Bülent; Uzunca, Murat; Yıldız, Süleyman (2021-07-15)
In this work, we present reduced-order models (ROMs) for a nonlinear cross-diffusion problem from population dynamics, the Shigesada-Kawasaki-Teramoto (SKT) equation with Lotka-Volterra kinetics. The formation of the patterns of the SKT equation consists of a fast transient phase and a long stationary phase. Reduced order solutions are computed by separating the time into two time-intervals. In numerical experiments, we show for one- and two-dimensional SKT equations with pattern formation, the reduced-orde...
Reduced Order Modeling of Bolted Joints in Frequency Domain
Karapıstık, Gökhan; Ciğeroğlu, Ender (2019-01-31)
Most of the structural systems assembled by using bolted joints. Therefore, bolted joint models have a critical importance to estimate the behavior of the overall assembled system. There are several linear bolted joint models which consist of spring and dashpot elements in literature. While they can estimate the resonant frequency of the overall system with a sufficient accuracy, linear bolted joint models are inadequate for approximating the damping which arises from the friction in the contact interface o...
Reduced Order Modelling for Reaction-Diffusion Equations with Cross Diffusion
Mülayim, Gülden; Karasözen, Bülent; Küçükseyhan, Tuğba; Uzunca, Murat (2017-04-29)
In this work, we present reduced-order models (ROMs) for a nonlinear cross-diffusion problem from population dynamics, the Shigesada-Kawasaki-Teramoto (SKT) equation with Lotka-Volterra kinetics. The formation of the patterns of the SKT equation consists of a fast transient phase and a long stationary phase. Reduced order solutions are computed by separating the time into two time-intervals. In numerical experiments, we show for one- and two-dimensional SKT equations with pattern formation, the reduced-orde...
Reduced order observer estimators for discrete-time stochastic systems.
Kara, Kudat; Department of Electrical Engineering (1981)
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
B. Karasözen, “Reduced order optimal control of the convective FitzHugh-Nagumo equation.,” 2017, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/81266.
