Počet záznamů: 1

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

  1. 1.
    0364707 - UTIA-B 2012 RIV US eng J - Článek v odborném periodiku
    Bartels, S. - Kružík, Martin
    An efficient approach to the numerical solution of rate-independent problems with nonconvex energies.
    Multiscale Modeling and Simulation. Roč. 9, č. 3 (2011), s. 1275-1300 ISSN 1540-3459
    Grant CEP: GA AV ČR IAA100750802
    Grant ostatní: GA ČR(CZ) GAP201/10/0357
    Výzkumný záměr: CEZ:AV0Z10750506
    Klíčová slova: numerical solution * nonconvexity
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 2.009, rok: 2011
    http://library.utia.cas.cz/separaty/2011/MTR/kruzik-0364707.pdf http://library.utia.cas.cz/separaty/2011/MTR/kruzik-0364707.pdf

    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.
    Trvalý link: http://hdl.handle.net/11104/0200115