Research interests
Theory of elasticity, calculus of variations, homogenization, singular perturbation, mathematical modelling
Education
PhD in mathematics, University of Zagreb, advisor: Josip Tambača, thesis: Derivation and justification of models of prestressed string and rod from three-dimensional elasticity.
Diploma in mathematics, University of Zagreb, advisor: Josip Tambača, thesis: Qualitative theory of ordinary differential equations.
Publications
1. M. Marohnić and J. Tambača, Derivation of the linear elastic string model from three-dimensional elasticity, Journal of Elasticity 111(1), 2013, 41—65.
2. M. Marohnić and J. Tambača, Derivation of a linear elastic prestressed rod model from three-dimensional elasticity, Mathematics and Mechanics of Solids, DOI: 1081286513517706.
3. M. Marohnić and I. Velčić, Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity, Annali di Matematica Pura ed Applicata, DOI: 10.1007/s10231-015-0504-0
4. M. Marohnić and J. Tambača, On a model of a flexural prestressed shell, Mathematical Methods in the Applied Sciences, DOI:10.1002/mma.3451
5. M. Marohnić and I. Velčić, Homogenization of bending theory for plates: the case of oscillations in the direction of thickness, accepted in Communications on Pure and Applied Analysis.
6. M. Marohnić, D. Mitrović and A. Novak, On a front evolution in porous media with a source - analysis and numerics, accepted in Bulletin of the Brazilian Mathematical Society.
Teaching (2014/15)
Kombinatorna i diskretna matematika,
Linearna algebra 1 ,
Obične diferencijalne jednadžbe,
Osnove algoritama,
Osnove matematičke analize,
Uvod u optimizaciju
Teaching (previous courses)
Diferencijalni i integralni račun 1 i 2,
Diskretna matematika,
Elementarna matematika 1,
Linearna algebra,
Matematička analiza 4,
Matematika,
Matematika 1 (FER),
Matematika 2 (GF),
Metode matematičke fizike,
Numerička matematika (FER),
Numeričke metode za rješavanje PDJ 1 i 2,
Računarski praktikum 1,
Teorija brojeva,
Uvod u matematiku,
Vjerojatnost i statistika (FER)
Award of the Faculty of Science, University of Zagreb, 2015.
Links
Mathematical Analysis of Multi-Physics Problems Involving Thin, Composite Structures and Fluids
Seminar za diferencijalne jednadžbe i numeričku analizu
Stipendije
SciPy
FEniCS
FreeFem++
PDS Velebit