0364707 20240103195553.920111007235959.9 000295399000014 80054910481 10.1137/110821718 25 s. cav_un_epca*02584171540-345993 (2011)1275-1300Society for Industrial and Applied Mathematics numerical solution nonconvexity cav_un_auth*0015573 Bartels S. DE cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2011/MTR/kruzik-0364707.pdf IAA100750802 GA AV ČR cav_un_auth*0241214 GAP201/10/0357 GA ČR CZ cav_un_auth*0263489 CEZ:AV0Z10750506 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. 2012 BA 4 A 4a 20231122134658.6 http://hdl.handle.net/11104/0200115 MATHEMATICSINTERDISCIPLINARYAPPLICATIONS|PHYSICSMATHEMATICAL 2.527 0.284 5.6 0.00863 1.686 1283 67 1.418 Q1 94.377 87.475 Q1* Q1 2011 Soubory v repozitáři: kruzik-0364707.pdf 80054910481 SCOPUS 000295399000014 WOS cav_un_epca*0258417 Multiscale Modeling and Simulation 1540-3459 1540-3467 Roč. 9 č. 3 2011 1275 1300 Society for Industrial and Applied Mathematics