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master's thesis
Numerička aproksimacija modela poroelastične ljuske
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:080677
Ljulj, Matko
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Ljulj, M. (2016). Numerička aproksimacija modela poroelastične ljuske (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:080677

Ljulj, Matko. "Numerička aproksimacija modela poroelastične ljuske." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:080677

Ljulj, Matko. "Numerička aproksimacija modela poroelastične ljuske." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:080677

Ljulj, M. (2016). 'Numerička aproksimacija modela poroelastične ljuske', Master's thesis, University of Zagreb, Faculty of Science, accessed 30 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:080677

Ljulj M. Numerička aproksimacija modela poroelastične ljuske [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 November 30] Available at: https://urn.nsk.hr/urn:nbn:hr:217:080677

M. Ljulj, "Numerička aproksimacija modela poroelastične ljuske", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:080677

Metadata
TitleNumerička aproksimacija modela poroelastične ljuske
AuthorMatko Ljulj
MentorJosip Tambača (mentor)
Committee memberJosip Tambača (predsjednik povjerenstva)
Committee memberZvonimir Tutek (član povjerenstva)
Committee memberMladen Jurak (član povjerenstva)
Committee memberIgor Pažanin (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu uveli smo model poroelastične ljuske Naghdijevog tipa, koji je najsličniji modelu elastične ljuske opisanom u [9, 8]. Za razliku od modela poroelastične ljuske opisanom u [5] model opisan u radu uz fleksijske dopušta i membranske efekte. Glavni rezultat u radu su dokaz egzistencije i jedinstvenosti sustava. Dokaz jedinstvenosti rješenja temelji se na metodi energija, dok se egzistencija temelji na iterativnom postupku sličnom numeričkoj metodi opisanoj u [4]. Na kraju smo i pokazali neke numeričke aproksimacije rješenja modela u dva slučaja zanimljiva u primjeni, poput filtera u automobilima. Metoda dokaza egzistencije rješenja i numerička metoda kojom smo dobili rezultate u zadnjem poglavlju nisu ista metoda. Stoga je cilj daljnje istraživanje usmjeriti ka implementaciji prve numeričke metode i formalnom opravdanju druge.
Abstract (english)
In this thesis we introduced the poroelastic shell model of Naghdi’s type, which is the most similar to the elastic shell model described in [9, 8]. While the poroelastic shell model described in [5] captures only bending effects, the model introduced in this thesis captures membrane effects, as well. The main result in this thesis is the proof of existence and uniqueness of the system of equations. The proof of uniqueness is based on the energy method, while the proof of existence is based on iterative procedure similar to the numerical method described in [4]. At the end, we showed numerical approximation of solutions of the model in two cases interesting in application, such as car filters. The method which we used in the proof of existence of solutions and numerical method which we used to obtain numerical results are not the same method. Thus, our goal is to extend our research to implementation of the first method and justification of the second one.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:080677
Study programmeTitle: Applied Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-02-28 14:06:29