{"id":900,"date":"2018-03-06T12:39:07","date_gmt":"2018-03-06T11:39:07","guid":{"rendered":"https:\/\/www.pmfst.unist.hr\/znanost\/?p=900"},"modified":"2021-03-25T10:15:14","modified_gmt":"2021-03-25T09:15:14","slug":"primijenjena-matematika","status":"publish","type":"post","link":"https:\/\/www.pmfst.unist.hr\/odjel-za-matematiku\/primijenjena-matematika\/","title":{"rendered":"Primijenjena matematika"},"content":{"rendered":"<div class=\"wpb-content-wrapper\">[vc_row][vc_column width=&#8221;1\/3&#8243;][mk_employees style=&#8221;boxed&#8221; column=&#8221;1&#8243; count=&#8221;-1&#8243; employees=&#8221;11923&#8243;][\/vc_column][vc_column width=&#8221;2\/3&#8243;][vc_empty_space][vc_column_text css=&#8221;.vc_custom_1520336210034{margin-bottom: 0px !important;}&#8221;]\n<h4>Podru\u010dje istra\u017eivanja:<\/h4>\n<p>&#8211; Asimptoti\u010dka analiza<br \/>\n&#8211; Interakcija fluida i tijela<br \/>\n&#8211; Adaptivna parametrizacija oblika<br \/>\n&#8211; Optimizacija oblika[\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1520336267327{margin-bottom: 0px !important;}&#8221;]\n<h4><strong>Kontakti s akademskim i drugim institucijama:<\/strong><\/h4>\n<p>&#8211; Prirodoslovno-matemati\u010dki fakultet, Sveu\u010dili\u0161te u Zagrebu<br \/>\n&#8211; Fakultet elektrotehnike, strojarstva i brodogradnje, Sveu\u010dili\u0161te u Splitu[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=&#8221;.vc_custom_1520336238763{margin-bottom: 0px !important;}&#8221;]\n<h4>Opis istra\u017eivanja:<\/h4>\n<p>Prou\u010davaju se modeli interakcije fluida i elasti\u010dne plo\u010de. Za postavljene modele, kao i one predlo\u017eene u in\u017eenjerskoj literaturi , dokazuje se egzistencija (i jedinstvenost) rje\u0161enja. U slu\u010daj interakcije tankog sloja fluida asimptoti\u010dkom analizom izvodi se pojednostavljeni model, odnosno efektivne jednad\u017ebe. Cilj je teoremima o konvergenciji u pripadnim normiranim prostorima, te ocjenom gre\u0161ke, opravdati izvedeni jednostavniji model.<br \/>\nProu\u010dava se parametrizacija dinami\u010dki promjenjivih geometrija za optimizaciju oblika. Po\u010detni zapis oblika je oblak 3D to\u010daka, a matemati\u010dki model oblaka to\u010daka zasniva se na parametarskim plohama (NURBS, T-Spline). Optimizacija uklju\u010duje rje\u0161avanje in\u017eenjerski postavljenog sustava parcijalnih diferencijalnih jednad\u017ebi. Cilj je razviti numeri\u010dki efikasnu i dinami\u010dki adaptivnu metodu.[\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1520336287016{margin-bottom: 0px !important;}&#8221;]\n<h4><strong>Opis dosada\u0161nje suradnje:<\/strong><\/h4>\n<p>Suradnja u sklopu HRZZ znanstvenog projekta: Matemati\u010dko modeliranje i numeri\u010dka simulacija procesa u tankim ili poroznim domenama.[\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1520336303304{margin-bottom: 0px !important;}&#8221;]\n<h4><strong>Planovi budu\u0107ih istra\u017eivanja:<\/strong><\/h4>\n<p>U daljenjem istra\u017eivanju cilj je na\u0107i model za nelinearno sparivanje fluida i elasti\u010dne plo\u010de te istra\u017eiti interakciju u slu\u010daju kompresibilnog fluida.<br \/>\nPlanira se prou\u010davati dinami\u010dki aspekt parametrizacije za promjene oblike uzrokovane tokom fluida.[\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1520336317495{margin-bottom: 0px !important;}&#8221;]\u0106urkovi\u0107, A., Maru\u0161i\u0107-Paloka, E. (2016). Existence and uniqueness of solution for fluid-plate interaction problem. Applicable analysis, 95 (4), 715-730<br \/>\n\u0106urkovi\u0107, M., Vu\u010dina, D., \u0106urkovi\u0107, A. (2017). Enhanced 3D parameterization for integrated shape synthesis by fitting parameter values to point sets. Integrated computer-aided engineering. Preprint, 1-20[\/vc_column_text][\/vc_column][\/vc_row]\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column width=&#8221;1\/3&#8243;][mk_employees style=&#8221;boxed&#8221; column=&#8221;1&#8243; count=&#8221;-1&#8243; employees=&#8221;11923&#8243;][\/vc_column][vc_column width=&#8221;2\/3&#8243;][vc_empty_space][vc_column_text css=&#8221;.vc_custom_1520336210034{margin-bottom: 0px !important;}&#8221;] Podru\u010dje istra\u017eivanja: &#8211; Asimptoti\u010dka analiza &#8211; Interakcija fluida i tijela &#8211; Adaptivna parametrizacija oblika &#8211; Optimizacija oblika[\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1520336267327{margin-bottom: 0px !important;}&#8221;] Kontakti s akademskim i drugim institucijama: &#8211; Prirodoslovno-matemati\u010dki fakultet, Sveu\u010dili\u0161te u Zagrebu &#8211; Fakultet elektrotehnike, strojarstva i brodogradnje, Sveu\u010dili\u0161te u Splitu[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=&#8221;.vc_custom_1520336238763{margin-bottom: 0px !important;}&#8221;] Opis [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":12151,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"rs_blank_template":"","rs_page_bg_color":"","slide_template_v7":"","footnotes":""},"categories":[9,4],"tags":[],"class_list":["post-900","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-odjel-za-matematiku","category-samostalna-istrazivanja"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - 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