About employee

prof. dr. sc. Marko Vrdoljak

Title: Full Professor
Location: 218
Public phone number:5736
E-mail: E-mail
Department: Zavod za primijenjenu matematiku

Teaching

undergraduate

graduate

Published papers recorded in the Croatian Scientific Bibliography Database

Local extrema for energy in two-phase optimal design problems

Vrdoljak, Marko ; Kunštek, Petar
2024.
Mathematical communications

Effects of plaque shape on arterial blood flow

Marušić, Karla; Marušić-Paloka, Eduard; Vrdoljak, Marko
2023.
Zeitschrift für Naturforschung. A, A journal of physical sciences

A quasi-Newton method in shape optimization for a transmission problem

Kunštek, Petar ; Vrdoljak, Marko
2022.
Optimization methods & software

Optimality criteria method in 2D linearized elasticity problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
2021.
Applied numerical mathematics

Classical optimal designs on annulus and numerical approximations

Kunštek, Petar ; Vrdoljak, Marko
2020.
Journal of differential equations

Exact Solutions in Optimal Design Problems for Stationary Diffusion Equation

Burazin, Krešimir ; Vrdoljak, Marko
2019.
Acta applicandae mathematicae

Homogenization of elastic plate equation

Burazin, Krešimir ; Jankov, Jelena ; Vrdoljak, Marko
2018.
Mathematical Modelling and Analysis

Multiple state optimal design problems with random perturbation

Vrdoljak, Marko
2018.
Electronic journal of differential equations

Variant of optimality criteria method for multiple state optimal design problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
2018.
Communications in mathematical sciences

Variant of optimality criteria method for multiple state optimal design problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
2017.

Variant of optimality criteria method for multiple state optimal design problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
2017.

Classical optimal design on annuli

Kunštek, Petar ; Vrdoljak, Marko
2017.

Shape gradient method for optimal design on annulus

Kunštek, Petar ; Vrdoljak, Marko
2017.

Numerical approximation of classical optimal design on annuli

Kunštek, Petar ; Vrdoljak, Marko
2017.

Variant of optimality criteria method for multiple state optimal design problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
2016.

Classical optimal design on annulus

Kunštek, Petar ; Vrdoljak, Marko
2016.

Variant of optimality criteria method for multiple state optimal design problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
2016.

Classical Optimal Design in Two-Phase Conductivity Problems

Vrdoljak, Marko
2016.
Siam journal on control and optimization

Exact solutions in multiple state optimal design problems

Burazin, Krešimir ; Vrdoljak, Marko
2015.

Homogenisation theory for Friedrichs systems

Burazin, Krešimir ; Vrdoljak, Marko
2014.
Communications on pure and applied analysis

Second-order equations as Friedrichs systems

Antonić, Nenad ; Burazin, Krešimir ; Vrdoljak, Marko
2014.
Nonlinear analysis: real world applications

Heat equation as a Friedrichs system

Antonić, Nenad ; Burazin, Krešimir ; Vrdoljak, Marko
2013.
Journal of mathematical analysis and applications

Homogenisation theory for Friedrichs systems

Burazin, Krešimir ; Vrdoljak ; Marko
2013.

Heat equation as a Friedrichs system

Antonić, Nenad ; Burazin, Krešimir ; Vrdoljak Marko
2012.

Partial relaxation and optimal design problems

Antonić, Nenad ; Vrdoljak, Marko
2011.
International Mathematical Forum

Connecting classical and abstract theory of Friedrichs systems via trace operator

Antonić, Nenad ; Burazin, Krešimir ; Vrdoljak, Marko
2011.
ISRN Mathematical Analysis

Optimality criteria method for optimal design in hyperbolic problems

Vrdoljak, Marko
2010.
Mathematical communications

On Hashin-Shtrikman bounds for mixtures of two isotropic materials

Vrdoljak, Marko
2010.
Nonlinear analysis: real world applications

Some advances in optimality criteria method

Antonić, Nenad ; Vrdoljak, Marko
2010.

Parabolic H-convergence and small-amplitude homogenisation

Antonić, Nenad ; Vrdoljak, Marko
2009.
Applicable analysis

Small-amplitude homogenisation of diffusion equation

Antonić, Nenad ; Vrdoljak, Marko
2009.
International journal of pure and applied mathematics

Small-amplitude homogenisation of diffusion equation

Antonić, Nenad ; Vrdoljak, Marko
2008.

Small-amplitude homogenisation of parabolic problems

Antonić, Nenad ; Vrdoljak, Marko
2008.

Multiple state optimal design problems and Hashin-Shtrikman bounds

Vrdoljak, Marko
2008.
International journal of pure and applied mathematics

Gradient methods for multiple state optimal design problems

Antonić, Nenad ; Vrdoljak, Marko
2007.
Annali dellNULLUniversità di Ferrara. Sezione 7: Scienze matematiche

Sequential laminates in multiple state optimal design problems

Antonić, Nenad ; Vrdoljak, Marko
2006.
Mathematical problems in engineering

Sequential laminates in multiple state optimal design problems

Antonić, Nenad ; Vrdoljak, Marko
2004.

On some projections of homogenised coefficients for stationary diffusion equation

Antonić, Nenad ; Vrdoljak, Marko
2003.
PAMM : Proceedings in applied mathematics and mechanics

Homogenisation of nonlinear elliptic systems

Antonić, Nenad ; Raguž, Andrija ; Vrdoljak, Marko
2001.

Mjera i integral

Antonić, Nenad ; Vrdoljak, Marko
2001.

Optimal design for vibrating plates

Antonić, Nenad ; Balenović, Neven ; Vrdoljak, Marko
2000.
Zeitschrift für angewandte Mathematik und Mechanik

Young and H-Measures for Relaxation of Multi-Well Energies

Antonić Nenad ; Balenović, Neven ; Vrdoljak, Marko
2000.

Optimal microstructures for relaxed two-well energy

Antonić, Nenad ; Vrdoljak, Marko
2000.

Optimal shape design and hyperbolic problems

Antonić, Nenad ; Vrdoljak, Marko
1999.

Optimal design for vibrating plates

Antonić, Nenad ; Balenović, Neven ; Vrdoljak, Marko
1999.

Homogenisation of nonlinear elliptic systems

Raguž, Andrija ; Vrdoljak, Marko
1999.

Optimal design and hyperbolic problems

Antonić, Nenad ; Vrdoljak, Marko
1999.
Mathematical communications

Optimal design and hyperbolic problems

Antonić, Nenad ; Vrdoljak, Marko
1998.
More information about publications