0425341 20240111140844.720150316235959.9 84893267324 000332525000056 10.1016/j.amc.2013.12.186 20 s. E cav_un_epca*02561600096-30032311 (2014)634-653Elsevier elastoplasticity Total FETI domain decomposition method Finite element method Semismooth Newton method cav_un_auth*0062211 Čermák M. CZ cav_un_auth*0084242 Kozubek T. CZ cav_un_auth*0221817 Oddělení aplikované matematiky a informatiky & Oddělení IT4Innovations Department of applied mathematics and computer science and Department IT4Innovations Applied Mathematics and Computer Science & IT4Innovations Sysala Stanislav UGN-S Ústav geoniky AV ČR, v. v. i. cav_un_auth*0292941 Valdman Jan 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. textový soubor http://ac.els-cdn.com/S0096300314000253/1-s2.0-S0096300314000253-main.pdf?_tid=33a29cf4-996a-11e3-8c5a-00000aacb360&acdnat=1392816896_4584697dc26cf934dcf590c63f0dbab7 We propose an algorithm for the efficient parallel implementation of elastoplastic problems with hardening based on the so-called TFETI (Total Finite Element Tearing and Interconnecting) domain decomposition method. We consider an associated elastoplastic model with the von Mises plastic criterion and the linear isotropic hardening law. Such a model is discretized by the implicit Euler method in time and the consequent one time step elastoplastic problem by the finite element method in space. The latter results in a system of nonlinear equations with a strongly semismooth and strongly monotone operator. The semismooth Newton method is applied to solve this nonlinear system. Corresponding linearized problems arising in the Newton iterations are solved in parallel by the above mentioned TFETI domain decomposition method. The proposed TFETI based algorithm was implemented in Matlab parallel environment and its performance was illustrated on a 3D elastoplastic benchmark. Numerical results for different time discretizations and mesh levels are presented and discussed and a local quadratic convergence of the semismooth Newton method is observed. BA 2015 4 4 A 4a 20231122140116.3 RVO:68145535 http://hdl.handle.net/11104/0232566 cav_un_auth*0295947 Vysoká škola báňská - Technická univerzita Ostrava VŠB CZ S MATHEMATICSAPPLIED 0.469 0.961 Q2 31.217 86.576 Q3 Q2 2014 Soubory v repozitáři: valdman-0427638.pdf 84893267324 SCOPUS 000332525000056 WOS textový soubor cav_un_epca*0256160 Applied Mathematics and Computation 0096-3003 1873-5649 Roč. 231 č. 1 2014 634 653 Elsevier