0474872 20240103214111.320170530235959.9 000416128600008 85018863529 10.1016/j.matcom.2017.03.004 16 s. P cav_un_epca*02572280378-47541451 (2018)90-105Elsevier Dissipative processes hysteresis micromagnetics cav_un_auth*0101142 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 50 Kružík Martin UTIA-B K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0292941 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 50 Valdman Jan UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/MTR/kruzik-0474872.pdf GA13-18652S GA ČR cav_un_auth*0292653 GF16-34894L GA ČR CZ cav_un_auth*0331681 GA17-04301S GA ČR cav_un_auth*0347023 cav_un_auth*0342514 7AMB16AT015 GA MŠk CZ We study computational behavior of a mesoscopic model describing temperature/external magnetic field-driven evolution of magnetization. Due to nonconvex anisotropy energy describing magnetic properties of a body, magnetization can develop fast spatial oscillations creating complicated microstructures. These microstructures are encoded in Young measures, their first moments then identify macroscopic magnetization. Our model assumes that changes of magnetization can contribute to dissipation and, consequently, to variations of the body temperature a ecting the length of magnetization vectors. In the ferromagnetic state, minima of the anisotropic energy density depend on temperature and they tend to zero as we approach the so-called Curie temperature. This brings the specimen to a paramagnetic state. Such a thermo-magnetic model is fully discretized and tested on two-dimensional examples. Computational results qualitatively agree with experimental observations. The ownMATLAB code used in our simulations is available for download. BA 10000 10100 10101 2019 2 RVO:67985556 http://hdl.handle.net/11104/0272093 S 3+4 Article|Proceedings Paper Computer Science Interdisciplinary Applications|Computer Science Software Engineering|Mathematics Applied MATHEMATICS.APPLIED|COMPUTERSCIENCE.INTERDISCIPLINARYAPPLICATIONS|COMPUTERSCIENCE.SOFTWAREENGINEERING 1.643 0.507 23.3 0.00358 0.459 3744 0.526 1.381 134 Q2 33.293 45.4 Q3 Q2 0.84 Q2 65.945 2018 85018863529 SCOPUS PUBMED 000416128600008 WOS cav_un_epca*0257228 Mathematics and Computers in Simulation 0378-4754 1872-7166 Roč. 145 č. 1 2018 90 105 Elsevier