Numerička aproksimacija modela poroelastične ljuske

Ljulj, Matko (2016) Numerička aproksimacija modela poroelastične ljuske. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

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.

Item Type: Thesis (Diploma thesis)
Supervisor: Tambača, Josip
Date: 2016
Number of Pages: 40
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 02 Nov 2016 13:08
Last Modified: 02 Nov 2016 13:08
URI: http://digre.pmf.unizg.hr/id/eprint/5253

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