Varijacijske nejednakosti

Pjanić, Matea (2016) Varijacijske nejednakosti. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this thesis we analyze one-phase Stefan problem, boundary problem with moving barrier, which is moving due to heat transfer. Stefan problem is process of a melting of ice; and mathematically, it is heat equation with initial and boundary condition, and condition on unknown barrier between water and ice. Due to monotonicity and invertibility of the moving barrier function, we could transform Stefan problem in parabolic variational inequality, for which we showed uniqueness and existence of solution in Sobolev space, which is also explained in detail. In the end we form discrete solution by means of finite element approximation, and give some results on stability and convergence for numerical solutions.

Item Type: Thesis (Diploma thesis)
Supervisor: Tutek, Zvonimir
Date: 2016
Number of Pages: 35
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 26 Aug 2016 08:15
Last Modified: 26 Aug 2016 08:15
URI: http://digre.pmf.unizg.hr/id/eprint/4994

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