Computational methods for boundary optimal control and identification problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F21%3A00543695" target="_blank" >RIV/68145535:_____/21:00543695 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27240/21:10248833
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0378475421000586" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378475421000586</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2021.02.019" target="_blank" >10.1016/j.matcom.2021.02.019</a>
Alternative languages
Result language
angličtina
Original language name
Computational methods for boundary optimal control and identification problems
Original language description
The paper deals with boundary optimal control methods for partial differential equation (PDE) problems with both target and control variables on specified parts of the boundary of the problem domain. Besides the standard aim in approximation of the target variable the paper also addresses an inverse identification of conditions on an inaccessible part of the boundary by letting them play the role of a control variable function and by overimposing boundary conditions at another part of the boundary of the given domain. The paper shows the mathematical formulation of the problem, the arising (regularized) Karush–Kuhn–Tucker (KKT) system and introduces preconditioners for the solution of the regularized system. The spectral analysis of the preconditioner, analysis of the approximation of the target function and boundary condition on an inaccessible part of the boundary and numerical tests with the proposed preconditioning techniques are included.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics and Computers in Simulation
ISSN
0378-4754
e-ISSN
1872-7166
Volume of the periodical
189
Issue of the periodical within the volume
November 2021
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
15
Pages from-to
276-290
UT code for WoS article
000683684700019
EID of the result in the Scopus database
2-s2.0-85102641809