Proximal bundle method for contact shape optimization problem

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F17%3A10238417" target="_blank" >RIV/61989100:27240/17:10238417 - isvavai.cz</a>
Result on the web
<a href="http://advances.utc.sk/index.php/AEEE/article/view/2320/1235" target="_blank" >http://advances.utc.sk/index.php/AEEE/article/view/2320/1235</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.15598/aeee.v15i2.2320" target="_blank" >10.15598/aeee.v15i2.2320</a>

Result language
angličtina
Original language name
Proximal bundle method for contact shape optimization problem
Original language description
From the mathematical point of view, the contact shape optimization is a problem of nonlinear optimization with a specific structure, which can be exploited in its solution. In this paper, we show how to overcome the difficulties related to the nonsmooth cost function by using the proximal bundle methods. We describe all steps of the solution, including linearization, construction of a descent direction, line search, stopping criterion, etc. To illustrate the performance of the presented algorithm, we solve a shape optimization problem associated with the discretized two-dimensional contact problem with Coulomb’s friction.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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