0536400 20240103224953.720201218235959.9 85098000454 000636709500140 10.1063/5.0026561 4 s. P cav_un_epca*0536399978-0-7354-4025-80094-243XMelvilleAIP Publishing2020 MATLAB tangent stiffness matrices vectorizations cav_un_auth*0296439 Čermák Martin UGN-S Oddělení aplikované matematiky a informatiky & Oddělení IT4Innovations Department of applied mathematics and computer science and Department IT4Innovations Applied Mathematics and Computer Science & IT4Innovations CZ K Ústav geoniky AV ČR, v. v. i. cav_un_auth*0221817 Sysala Stanislav UGN-S Oddělení aplikované matematiky a informatiky & Oddělení IT4Innovations Department of applied mathematics and computer science and Department IT4Innovations Applied Mathematics and Computer Science & IT4Innovations CZ Ústav geoniky 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. http://library.utia.cas.cz/separaty/2020/MTR/valdman-0536400.pdf GA17-04301S GA ČR cav_un_auth*0347023 GA19-11441S GA ČR CZ cav_un_auth*0386119 LO1404 GA MŠk CZ cav_un_auth*0401334 We propose an effective and flexible way to assemble tangent stiffness matrices in MATLAB. Our technique is applied to elastoplastic problems formulated in terms of displacements and discretized by the finite element method. The tangent stiffness matrix is repeatedly assembled in each time step and in each iteration of the semismooth Newton method. We consider von Mises and Drucker-Prager yield criteria, linear and quadratic finite elements in two and three space dimensions. Our codes are vectorized and available for download. Comparisons with other available MATLAB codes show, that our technique is also efficient for purely elastic problems. In elastoplasticity, the assembly times are linearly proportional to the number of integration points. cav_un_auth*0401333 INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019 20190923 20190928 Rhodos GR BA 10000 10100 10102 2021 PR RVO:67985556 RVO:68145535 http://hdl.handle.net/11104/0314169 1 S 330003 3+4 Proceedings Paper Mathematical Computational Biology|Mathematics Applied|Mathematics Interdisciplinary Applications|Physics Mathematical|Statistics Probability 0.182 Q4 2020 85098000454 SCOPUS PUBMED 000636709500140 WOS cav_un_epca*0536399 AIP Conference Proceedings, Volume 2293, Issue 1 : INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019 978-0-7354-4025-8 0094-243X Melville AIP Publishing 2020