0584116 20240402215338.920240313235959.9 85161449568 10.1007/978-3-031-30445-3_28 12 s. P cav_un_epca*0584114978-3-031-30444-60302-9743331-342ChamSpringer2023WyrzykowskiR.DongarraJ.DeelmanE.KarczewskiK. minimization nonlinear energy finite elements Ginzburg-Landau model topology optimization 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. cav_un_auth*0464270 Vohnoutová M. CZ http://library.utia.cas.cz/separaty/2024/MTR/moskovka-0584116.pdf 8J21AT001 GA MŠk cav_un_auth*0413224 GF21-06569K GA ČR cav_un_auth*0412957 Two minimization problems are added to the Moskovka and Valdman MATLAB package (2022): a Ginzburg-Landau (scalar) problem and a topology optimization (both scalar and vector) problem in linear elasticity. Both problems are described as nonlinear energy minimizations that contain the first gradient of the unknown field. Their energy functionals are discretized by finite elements, and the corresponding minima are searched using the trust-region method with a known Hessian sparsity or the Quasi-Newton method. cav_un_auth*0464801 International Conference on Parallel Processing and Applied Mathematics (PPAM 2022) /14./ 20220911 20220914 Gdansk PL IN 10000 10200 10201 2024 PR RVO:67985556 https://hdl.handle.net/11104/0352092 S 499 0.407 24.29 1.1 80916 Q2 2023 85161449568 SCOPUS PUBMED WOS cav_un_epca*0584114 Parallel Processing and Applied Mathematics : 14th International Conference, PPAM 2022 Springer 2023 Cham 331 342 978-3-031-30444-6 Lecture Notes in Computer Science 13827 0302-9743 1611-3349 Wyrzykowski R. 340 Dongarra J. 340 Deelman E. 340 Karczewski K. 340