{"id":52228,"date":"2025-12-18T12:06:47","date_gmt":"2025-12-18T11:06:47","guid":{"rendered":"https:\/\/www.mathos.unios.hr\/?page_id=52228"},"modified":"2026-01-30T13:51:12","modified_gmt":"2026-01-30T12:51:12","slug":"ophomat","status":"publish","type":"page","link":"https:\/\/www.mathos.unios.hr\/en\/ophomat\/","title":{"rendered":"OpHoMat"},"content":{"rendered":"\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"464\" data-id=\"52040\" src=\"https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/slika_za_opho-1024x464.png\" alt=\"\" class=\"wp-image-52040\" srcset=\"https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/slika_za_opho-1024x464.png 1024w, https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/slika_za_opho-300x136.png 300w, https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/slika_za_opho.png 1481w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"informacije\">Basic Information<\/h2>\n\n\n\n<p>Projekt <strong>Optimizacija i homogenizacija za modele matemati\u010dke fizike (OpHoMat)<\/strong> se bavi razvojem suvremenih teorijskih i numeri\u010dkih metoda u podru\u010dju homogenizacije, optimizacije, dinami\u010dkih sustava i matri\u010dnih jednad\u017ebi, s primjenama na modele koji opisuju razne fizikalne fenomene. Istra\u017euju se parametarski ovisni dinami\u010dki sustavi te se razvijaju metode redukcije reda koje \u010duvaju strukturalna svojstva modela, uz primjenu na sustave s prigu\u0161iva\u010dima. U podru\u010dju matri\u010dnih jednad\u017ebi fokus je na njihovoj primjeni u analizi stabilnosti i ocjeni spektra mehani\u010dkih sustava, te na razvoju novih metoda i algoritama za njihovo rje\u0161avanje, gdje se dodatno promatraju matri\u010dne jednad\u017ebe s intervalnim matricama. Projekt se bavi i razvojem op\u0107e teorije homogenizacije u smislu operatora (G- i H-konvergencija) za ni\u017eedimenzionalne modele linearizirane elasti\u010dnosti, kao \u0161to su elasti\u010dni \u0161tapovi i plo\u010de. U kontekstu strukturalne optimizacije razvijaju se metode za odre\u0111ivanje optimalnog oblika, viskoznog prigu\u0161enja i raspodjele materijala u tijelu, koje minimiziraju energiju sustava, ili deformaciju kombiniranjem homogenizacijskih pristupa i optimizacije oblika. Dodatno, koriste se i poop\u0107ene integralne nejednakosti za pobolj\u0161anje numeri\u010dke integracije i analize pogre\u0161aka.&nbsp;<\/p>\n\n\n\n<p><strong>Trajanje projekta:<\/strong> 1.10.2025 &#8211; 30.9.2029.<\/p>\n\n\n\n<p><strong>Radni paketi:<\/strong> <\/p>\n\n\n\n<p><strong>Radni paket 1 (RP1): Modeliranje dinami\u010dkih sustava ovisnih o parametrima<br><\/strong>Ovim paketom upravljaju \u010dlanovi koji rade na razvoju dinami\u010dkih modela i metoda redukcije reda uz o\u010duvanje strukturalnih svojstava.<\/p>\n\n\n\n<p>Voditeljica paketa: doc. dr.sc. Matea Ugrica Vukojevi\u0107<br><\/p>\n\n\n\n<p><strong>Radni paket 2<\/strong> (<strong>RP2): Matri\u010dne jednad\u017ebe i njihove primjene<br><\/strong>Ovdje je uklju\u010den tim specijaliziran za linearne algebarske sustave, stabilnost i spektralnu analizu,&nbsp; matri\u010dne jednad\u017ebe, uklju\u010duju\u0107i i one s intervalnim matricama.<\/p>\n\n\n\n<p>Voditeljica paketa: izv.prof.dr.sc. Ivana Kuzmanovi\u0107 Ivi\u010di\u0107<br><\/p>\n\n\n\n<p><strong>Radni paket 3 (RP3): Razvoj op\u0107e teorije homogenizacije u smislu operatora za ni\u017eedimenzionalne modele matemati\u010dke fizike<br><\/strong>U ovom paketu sudjeluju \u010dlanovi tima stru\u010dni u&nbsp; podru\u010dju homogenizacije, funkcionalne analize i parcijalnih diferencijalnih jednad\u017ebi. Fokus je na teorijskoj analizi G- i H-konvergencije u modelima elasti\u010dnih \u0161tapova i plo\u010da.<\/p>\n\n\n\n<p>Voditeljica paketa: doc.dr.sc. Jelena Jankov Pavlovi\u0107<br><\/p>\n\n\n\n<p><strong>Radni paket 4 (RP4): Strukturalna optimizacija za elasti\u010dne konstrukcije<br><\/strong>Tim koji vodi ovaj paket ima iskustvo u optimizaciji oblika, ra\u010dunalnoj mehanici i primjeni homogenizacijskih metoda u in\u017eenjerskom dizajnu. Aktivnosti uklju\u010duju odre\u0111ivanje optimalne raspodjele materijala, prigu\u0161enja i geometrije konstrukcija.<\/p>\n\n\n\n<p>Voditeljica paketa: doc.dr.sc. Ivana Crnjac<\/p>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"publikacije\">Publications<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"konferencije\">Conferences<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"mobilnost\">Mobility<\/h2>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"novosti\">News<\/h2>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"265\" data-id=\"51958\" src=\"https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/EN-Funded-by-the-European-Union_POS-1024x265.jpg\" alt=\"\" class=\"wp-image-51958\" srcset=\"https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/EN-Funded-by-the-European-Union_POS-1024x265.jpg 1024w, https:\/\/www.mathos.unios.hr\/wp-content\/uploads\/2026\/01\/EN-Funded-by-the-European-Union_POS-300x78.jpg 300w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<div class=\"wp-block-group c-nav--sub u-mb--sml--10\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\"><nav class=\"is-responsive items-justified-left is-vertical c-nav--sub u-mb--sml--10 wp-block-navigation is-content-justification-left is-layout-flex wp-container-core-navigation-is-layout-aacc3761 wp-block-navigation-is-layout-flex\" aria-label=\"Project - EN\" \n\t\t data-wp-interactive=\"core\/navigation\" data-wp-context='{\"overlayOpenedBy\":{\"click\":false,\"hover\":false,\"focus\":false},\"type\":\"overlay\",\"roleAttribute\":\"\",\"ariaLabel\":\"Menu\"}'><button aria-haspopup=\"dialog\" aria-label=\"Open menu\" class=\"wp-block-navigation__responsive-container-open\" \n\t\t\t\tdata-wp-on--click=\"actions.openMenuOnClick\"\n\t\t\t\tdata-wp-on--keydown=\"actions.handleMenuKeydown\"\n\t\t\t><svg width=\"24\" height=\"24\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 24 24\" aria-hidden=\"true\" focusable=\"false\"><path d=\"M4 7.5h16v1.5H4z\"><\/path><path d=\"M4 15h16v1.5H4z\"><\/path><\/svg><\/button>\n\t\t\t\t<div class=\"wp-block-navigation__responsive-container\"  id=\"modal-3\" \n\t\t\t\tdata-wp-class--has-modal-open=\"state.isMenuOpen\"\n\t\t\t\tdata-wp-class--is-menu-open=\"state.isMenuOpen\"\n\t\t\t\tdata-wp-watch=\"callbacks.initMenu\"\n\t\t\t\tdata-wp-on--keydown=\"actions.handleMenuKeydown\"\n\t\t\t\tdata-wp-on--focusout=\"actions.handleMenuFocusout\"\n\t\t\t\ttabindex=\"-1\"\n\t\t\t>\n\t\t\t\t\t<div class=\"wp-block-navigation__responsive-close\" tabindex=\"-1\">\n\t\t\t\t\t\t<div class=\"wp-block-navigation__responsive-dialog\" \n\t\t\t\tdata-wp-bind--aria-modal=\"state.ariaModal\"\n\t\t\t\tdata-wp-bind--aria-label=\"state.ariaLabel\"\n\t\t\t\tdata-wp-bind--role=\"state.roleAttribute\"\n\t\t\t>\n\t\t\t\t\t\t\t<button aria-label=\"Close menu\" class=\"wp-block-navigation__responsive-container-close\" \n\t\t\t\tdata-wp-on--click=\"actions.closeMenuOnClick\"\n\t\t\t><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 24 24\" width=\"24\" height=\"24\" aria-hidden=\"true\" focusable=\"false\"><path d=\"m13.06 12 6.47-6.47-1.06-1.06L12 10.94 5.53 4.47 4.47 5.53 10.94 12l-6.47 6.47 1.06 1.06L12 13.06l6.47 6.47 1.06-1.06L13.06 12Z\"><\/path><\/svg><\/button>\n\t\t\t\t\t\t\t<div class=\"wp-block-navigation__responsive-container-content\" \n\t\t\t\tdata-wp-watch=\"callbacks.focusFirstElement\"\n\t\t\t id=\"modal-3-content\">\n\t\t\t\t\t\t\t\t<ul class=\"wp-block-navigation__container is-responsive items-justified-left is-vertical c-nav--sub u-mb--sml--10 wp-block-navigation\"><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#informacije\"><span class=\"wp-block-navigation-item__label\">Basic Information<\/span><\/a><\/li><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#publikacije\"><span class=\"wp-block-navigation-item__label\">Publications<\/span><\/a><\/li><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#konferencije\"><span class=\"wp-block-navigation-item__label\">Conferences<\/span><\/a><\/li><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#mobilnost\"><span class=\"wp-block-navigation-item__label\">Mobility<\/span><\/a><\/li><li class=\" wp-block-navigation-item wp-block-navigation-link\"><a class=\"wp-block-navigation-item__content\"  href=\"#novosti\"><span class=\"wp-block-navigation-item__label\">News<\/span><\/a><\/li><\/ul>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/nav>\n\n\n<section id=\"section-g-1ald26p\" class=\"wp-block-gutentor-divider section-g-1ald26p gutentor-element gutentor-section gutentor-divider text-center\"><div class=\"grid-container\"><div class=\"gutentor-divider-box\"><span class=\"gutentor-divider-separator\"><\/span><\/div><\/div><\/section>\n\n\n\n<div class=\"wp-block-group c-nav--sub u-mb--sml--10\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading\">Projektni tim<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Kre\u0161imir Burazin<\/li>\n\n\n\n<li>Ivana Crnjac<\/li>\n\n\n\n<li>Maja Damjanovi\u0107<\/li>\n\n\n\n<li>Jelena Jankov Pavlovi\u0107<\/li>\n\n\n\n<li>Ivana Kuzmanovi\u0107 Ivi\u010di\u0107<\/li>\n\n\n\n<li>Marija Milolo\u017ea Pandur<\/li>\n\n\n\n<li>Suzana Miodragovi\u0107<\/li>\n\n\n\n<li>Miheala Ribi\u010di\u0107 Penava<\/li>\n\n\n\n<li>Zoran Tomljanovi\u0107<\/li>\n\n\n\n<li>Ninoslav Truhar<\/li>\n\n\n\n<li>Matea Ugrica Vukojevi\u0107<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"Basic Information Projekt Optimizacija i homogenizacija za modele matemati\u010dke fizike (OpHoMat) se bavi razvojem suvremenih teorijskih i numeri\u010dkih metoda u podru\u010dju homogenizacije, optimizacije, dinami\u010dkih sustava i matri\u010dnih jednad\u017ebi, s primjenama na modele koji opisuju razne fizikalne fenomene. Istra\u017euju se parametarski ovisni dinami\u010dki sustavi te se razvijaju metode redukcije reda koje \u010duvaju strukturalna svojstva modela, uz <a href=\"https:\/\/www.mathos.unios.hr\/en\/ophomat\/\" class=\"more-link\">&#8230;<span class=\"screen-reader-text\">  OpHoMat<\/span><\/a>","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"_editorskit_title_hidden":false,"_editorskit_reading_time":0,"_editorskit_is_block_options_detached":false,"_editorskit_block_options_position":"{}","kk_blocks_editor_width":"","_kiokenblocks_attr":"","_kiokenblocks_dimensions":"","footnotes":""},"class_list":["post-52228","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>OpHoMat - School of Applied Mathematics and Informatics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.mathos.unios.hr\/en\/ophomat\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"OpHoMat - School of Applied Mathematics and Informatics\" \/>\n<meta property=\"og:description\" content=\"Basic Information Projekt Optimizacija i homogenizacija za modele matemati\u010dke fizike (OpHoMat) se bavi razvojem suvremenih teorijskih i numeri\u010dkih metoda u podru\u010dju homogenizacije, optimizacije, dinami\u010dkih sustava i matri\u010dnih jednad\u017ebi, s primjenama na modele koji opisuju razne fizikalne fenomene. 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