0579519 20240402214918.120231214235959.9 3 s. E cav_un_epca*0577231978-80-261-1177-1130-132PlzeňUniversity of West Bohemia2023AdámekV.JonášováA.PláničkaS. hp-FEM energy functionals numerical minimization cav_un_auth*0459832 Moskovka Alexej UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0255186 Frost Miroslav UT-L D 5 - Ultrazvukové metody D 5 - Ultrasonic Methods D5 – Ultrasonic Methods CZ Ústav termomechaniky AV ČR, v. v. i. cav_un_auth*0292941 Valdman Jan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. https://compmech.kme.zcu.cz/download/proceedings/CM2023_Conference_Proceedings.pdf GA22-20181S GA ČR CZ cav_un_auth*0435651 GF21-06569K GA ČR cav_un_auth*0412957 Many processes in mechanics and thermodynamics can be formulated as a minimization of a particular energy functional. The finite element method can be used for an approximation of such functionals in a finite-dimensional subspace. Consequently, the numerical minimization methods (such as quasi-Newton and trust region) can be used to find a minimum of the functional. Vectorization techniques used for the evaluation of the energy together with the assembly of discrete energy gradient and Hessian sparsity are crucial for evaluation times. A particular model simulating the deformation of a Neo-Hookean solid body is solved in this contribution by minimizing the corresponding energy functional. We implement both P1 and rectangular hp-finite elements and compare their efficiency with respect to degrees of freedom and evaluation times. cav_un_auth*0457147 Computational mechanics 2023 /38./ 20231023 20231025 Srní CZ BC 10000 10100 10102 2024 3 UTIA-B 10000 10100 10101 4 A 4a 20231215090811.6 PR UTIA-B BA RVO:61388998 RVO:67985556 https://hdl.handle.net/11104/0349460 cav_un_auth*0296535 Ústav teorie informace a automatizace AV ČR ÚTIA AV ČR CZ S 2023 Soubory v repozitáři: 0579519_Numerical minimization of energy functionals_Moskovka_CM_2023.pdf SCOPUS PUBMED WOS pdf cav_un_epca*0577231 Computational mechanics 2023. Proceedings of computational mechanics 2023 University of West Bohemia 2023 Plzeň 130 132 978-80-261-1177-1 Adámek V. 340 Jonášová A. 340 Plánička S. 340