Show/Hide Menu
Hide/Show Apps
anonymousUser
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Videos
Videos
Thesis submission
Thesis submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Contact us
Contact us
Optimal control of convective FitzHugh-Nagumo equation
Download
index.pdf
Date
2017-05-01
Author
Uzunca, Murat
Kucukseyhan, Tugba
Yücel, Hamdullah
Karasözen, Bülent
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
14
views
8
downloads
Cite This
We investigate smooth and sparse optimal control problems for convective FitzHugh Nagumo equation with traveling wave solutions in moving excitable media. The cost function includes distributed space time and terminal observations or targets. The state and adjoint equations are discretized in space by symmetric interior point Galerkin (SIPG) method and by backward Euler method in time. Several numerical results are presented for the control of the traveling waves. We also show numerically the validity of the second order optimality conditions for the local solutions of the sparse optimal control problem for vanishing Tikhonov regularization parameter. Further, we estimate the distance between the discrete control and associated local optima numerically by the help of the perturbation method and the smallest eigenvalue of the reduced Hessian.
Subject Keywords
FitzHugh-Nagumo equation
,
Traveling waves
,
Sparse controls
,
Second order optimality conditions
,
Discontinuous Galerkin method
URI
https://hdl.handle.net/11511/32645
Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
DOI
https://doi.org/10.1016/j.camwa.2017.02.028
Collections
Graduate School of Applied Mathematics, Article
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. Uzunca, T. Kucukseyhan, H. Yücel, and B. Karasözen, “Optimal control of convective FitzHugh-Nagumo equation,”
COMPUTERS & MATHEMATICS WITH APPLICATIONS
, vol. 73, no. 9, pp. 2151–2169, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32645.