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Global optimization numerical strategies for rate-independent processes
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SYSNO ASEP 0347609 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Global optimization numerical strategies for rate-independent processes Tvůrce(i) Benešová, Barbora (UT-L) RID, ORCID Zdroj.dok. Journal of Global Optimization - ISSN 0925-5001
Roč. 50, č. 2 (2011), s. 197-220Poč.str. 24 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova rate-independent processes ; numerical global optimization ; energy estimates based algorithm Vědní obor RIV BA - Obecná matematika CEP GAP201/10/0357 GA ČR - Grantová agentura ČR CEZ AV0Z20760514 - UT-L (2005-2011) UT WOS 000290202900002 DOI 10.1007/s10898-010-9560-6 Anotace This paper presents an approach to numerical solution of problems posed in the framework of quasi-static rate-independent processes. As soon as a problem allows for an energetic formulation there are known methods of its time discretization by time incremental minimization problems, which demand for global optimization of a non-convex functional. Moreover the two-sided energy inequality, a necessary condition for optimization, can be formulated. Here we present an algorithm for finding solutions of rate-independent processes that verifies this condition and uses the strategy of backtracking if it is violated. We present the selectivity of the mentioned necessary condition in general and give numerical examples of the efficiency of such an algorithm, but also of situations that are beyond its limits. For those we propose a second strategy relying on wisely chosen combinations of spatial discretizations. Pracoviště Ústav termomechaniky Kontakt Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Rok sběru 2012 Elektronická adresa http://math.hnue.edu.vn/portal/rss.viewpage.php?id=0000037780&ap=L3BvcnRhbC9ncmFiYmVyLnBocD9jYXRpZD0xMDEyJnBhZ2U9Mg==
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