An efficient  approach  to the  numerical solution of rate-independent problems with nonconvex energies

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SYSNO ASEP	0364707
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	An efficient approach to the numerical solution of rate-independent problems with nonconvex energies
Author(s)	Bartels, S. (DE) Kružík, Martin (UTIA-B)_{RID, ORCID}
Source Title	Multiscale Modeling and Simulation. - : Society for Industrial and Applied Mathematics - ISSN 1540-3459 Roč. 9, č. 3 (2011), s. 1275-1300
Number of pages	25 s.
Language	eng - English
Country	US - United States
Keywords	numerical solution ; nonconvexity
Subject RIV	BA - General Mathematics
R&D Projects	IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
UT WOS	000295399000014
EID SCOPUS	80054910481
DOI	10.1137/110821718
Annotation	We propose a new approach to the numerical treatment of non(quasi)convex rate-independent evolutionary problems. The main idea is to replace the original microscopic energy density by its polyconvexification. For this problem, first-order optimality conditions are derived and used in finding a discrete solution. The effectiveness of the method is illustrated with some numerical experiments.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2012

Number of the records: 1