0556726 20231122150515.220220425235959.9 85127202885 000893681300061 10.1007/978-3-030-97549-4_61 8 s. P cav_un_epca*0556337978-3-030-97548-70302-9743533-540ChamSpringer2022LirkovI.MargenovS. Finite elements Energy functional Trust-region methods p-Laplace equation MATLAB code vectorization cav_un_auth*0100790 Matonoha Ctirad UIVT-O Oddělení výpočetní matematiky Department of Computational Mathematics Department of Computational Mathematics Ústav informatiky AV ČR, v. v. i. cav_un_auth*0410335 Moskovka A. CZ 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://dx.doi.org/10.1007/978-3-030-97549-4_61 8J21AT001 GA MŠk cav_un_auth*0413224 GA18-03834S GA ČR cav_un_auth*0365435 Minimization of energy functionals is based on a discretization by the finite element method and optimization by the trust-region method. A key tool to an efficient implementation is a local evaluation of the approximated gradients together with sparsity of the resulting Hessian matrix. Vectorization concepts are explained for the p-Laplace problem in one and two space-dimensions. cav_un_auth*0410336 LSSC 2021: International Conference on Large-Scale Scientific Computations /13./ 20210607 20210611 Sozopol BG 10000 10100 10101 2023 3 UTIA-B 10000 10100 10102 4 A 4a 20231122150515.2 RVO:67985807 RVO:67985556 http://hdl.handle.net/11104/0330880 cav_un_auth*0339298 UTIA cav_un_auth*0295079 Západočeská univerzita v Plzni ZČU CZ S n.a. Proceedings Paper Computer Science Interdisciplinary Applications|Computer Science Theory Methods|Operations Research Management Science|Mathematics Applied 499 0.249 24.53 1.2 80471 Q3 2022 Soubory v repozitáři: 0556726-afin.pdf 85127202885 SCOPUS PUBMED 000893681300061 WOS cav_un_epca*0556337 Large-Scale Scientific Computing 978-3-030-97548-7 0302-9743 533 540 Cham Springer 2022 1. Lecture Notes in Computer Science 13127 Lirkov I. 340 Margenov S. 340