O djelatniku

prof. dr. sc. Marko Vrdoljak

Zvanje: redoviti profesor
Lokacija: 218
Telefon:5736
E-mail: E-mail
Zavod/služba: Zavod za primijenjenu matematiku

Nastava

prijediplomski

diplomski

integrirani prijediplomski i diplomski

Konzultacije

srijedom 10-12

Objavljeni radovi u Hrvatskoj znanstvenoj bibliografiji

Local extrema for energy in two-phase optimal design problems

Vrdoljak, Marko ; Kunštek, Petar
izvorni znanstveni rad, 2024.
Mathematical communications

Effects of plaque shape on arterial blood flow

Marušić, Karla; Marušić-Paloka, Eduard; Vrdoljak, Marko
izvorni znanstveni rad, 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
izvorni znanstveni rad, 2022.
Optimization methods & software

Optimality criteria method in 2D linearized elasticity problems

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

Analysis of optimality conditions by shape calculus for optimal designs in conductivity problems

Kunštek, Petar ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2021.

Second order shape derivatives - numerical applications for optimal design problems

Kunštek, Petar ; Vrdoljak, Marko
neobjavljeni prilog sa skupa, The Tenth Conference on Applied Mathematics and Scientific Computing- ApplMath20, Book of abstracts, 2020.

Classical optimal designs on annulus and numerical approximations

Kunštek, Petar ; Vrdoljak, Marko
izvorni znanstveni rad, Journal of Differential Equations, 2020.
Journal of differential equations

Methods based on shape derivative for the optimal design on annulus

Kunštek, Petar ; Vrdoljak, Marko
neobjavljeni prilog sa skupa, 2019.

Exact Solutions in Optimal Design Problems for Stationary Diffusion Equation

Burazin, Krešimir ; Vrdoljak, Marko
izvorni znanstveni rad, 2019.
Acta applicandae mathematicae

Multiple state optimal design problems with random perturbation

Vrdoljak, Marko
izvorni znanstveni rad, Electronic journal of differential equations, 2018.

Shape gradient method - application to optimal design on annulus

Kunštek, Petar ; Vrdoljak, Marko
neobjavljeni prilog sa skupa, 2018.

Homogenization of elastic plate equation

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

Variant of optimality criteria method for multiple state optimal design problems

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

Shape gradient method for optimal design on annulus

Kunštek, Petar ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2017.

Shape derivative method for optimal design in conductivity problem

Kunštek Petar ; Vrdoljak Marko
sažetak izlaganja sa skupa, 2017.

Variant of optimality criteria method for multiple state optimal design problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2017.

Variant of optimality criteria method for multiple state optimal design problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2017.

Numerical approximation of classical optimal design on annuli

Kunštek, Petar ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2017.

Optimal design on annulus: numerical approximation obtained by the shape gradient method

Kunštek, Petar ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2017.

Classical optimal design on annuli

Kunštek, Petar ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2017.

Variant of optimality criteria method for multiple state optimal design problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
neobjavljeni prilog sa skupa, 2016.

Classical Optimal Design in Two-Phase Conductivity Problems

Vrdoljak, Marko
izvorni znanstveni rad, Siam journal on control and optimization, 2016.

Classical optimal design on annulus

Kunštek, Petar ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2016.

Variant of optimality criteria method for multiple state optimal design problems

Burazin, Krešimir ; Crnjac, Ivana ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2016.

Optimal Design Problem on an Annulus for a Two-composite Material Maximizing The Energy

Kunštek, Petar ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2016.

Multiple state optimal design problems with random perturbation

Vrdoljak, Marko
sažetak izlaganja sa skupa, Book of Abstracts, 2015.

Exact solutions in multiple state optimal design problems

Burazin, Krešimir ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Calculus of variations and its applications (on the occasion of Luisa Mascarenhas' 65th birthday), 2015.

Exact solutions in optimal design problems for stationary diffusion equation

Burazin, Krešimir ; Vrdoljak, Marko
sažetak izlaganja sa skupa, The Fourth Najman Conference on Spectral Problems for Operators and Matrices, 2015.

Explicit solutions in optimal design problems for stationary diffusion equation

Burazin, Krešimir ; Vrdoljak, Marko
neobjavljeni prilog sa skupa, 2015.

Classical solutions in optimal design problems

Vrdoljak, Marko
sažetak izlaganja sa skupa, PDEs, continuum mechanics and numerical analysis, 2014.

Second-order equations as Friedrichs systems

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

Homogenisation theory for Friedrichs systems

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

Optimality criteria method for multiple state optimal design problems

Vrdoljak, Marko
neobjavljeni prilog sa skupa, 2013.

Heat equation as a Friedrichs system

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

Homogenisation theory for Friedrichs systems

Burazin, Krešimir ; Vrdoljak ; Marko
sažetak izlaganja sa skupa, Applied Mathematics and Scientific Computing, 2013.

Variants of optimality criteria method for optimal design problems

Vrdoljak, Marko
sažetak izlaganja sa skupa, Applied mathematics and scentific computing, 2013.

Heat equation as a Friedrichs system

Antonić, Nenad ; Burazin, Krešimir ; Vrdoljak Marko
sažetak izlaganja sa skupa, Topics in PDE, Microlocal and Time-frequency Analysis, 2012.

Partial relaxation and optimal design problems

Antonić, Nenad ; Vrdoljak, Marko
izvorni znanstveni rad, International mathematical forum, 2011.
International Mathematical Forum

Connecting classical and abstract theory of Friedrichs systems via trace operator

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

Some advances in optimality criteria method

Antonić, Nenad ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Multiscale Problems in Science and Technology. Challenges to Mathematical Analysis and Perspectives III, 2010.

On Hashin-Shtrikman bounds for mixtures of two isotropic materials

Vrdoljak, Marko
izvorni znanstveni rad, Nonlinear analysis, 2010.
Nonlinear analysis: real world applications

Optimality criteria method for optimal design in hyperbolic problems

Vrdoljak, Marko
izvorni znanstveni rad, Mathematical communications, 2010.

Parabolic H-convergence and small-amplitude homogenisation

Antonić, Nenad ; Vrdoljak, Marko
izvorni znanstveni rad, Applicable Analysis, 2009.
Applicable analysis

Small-amplitude homogenisation of diffusion equation

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

Homogenisation approach to an inverse problem for wave equation

Vrdoljak, Marko
izvorni znanstveni rad, 3rd International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources, 2009.

Relaxation of inverse problems by homogenisation method

Vrdoljak, Marko
sažetak izlaganja sa skupa, Applied Mathematics and Scientific Computing, 2009.

Multiple state optimal design problems and Hashin-Shtrikman bounds

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

Small-amplitude homogenisation of diffusion equation

Antonić, Nenad ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Fifth International Conference of Applied Mathematics and Computing, volume 1, 2008.

Small-amplitude homogenisation of parabolic problems

Antonić, Nenad ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Scaling Up for Modeling Transport and Flow in Porous Media, Book of abstracts, 2008.

On Hashin-Shtrikman bounds for mixtures of two isotropic materials

Vrdoljak, Marko
sažetak izlaganja sa skupa, Multiscale problems in science and technology ; Chalenges to mathematical analysis and perspectives 2, 2007.

Gradient methods for multiple state optimal design problems

Antonić, Nenad ; Vrdoljak, Marko
izvorni znanstveni rad, Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche, 2007.
Annali dellNULLUniversità di Ferrara. Sezione 7: Scienze matematiche

Necessary conditions for optimal design in hyperbolic problems

Vrdoljak, Marko
sažetak izlaganja sa skupa, Applied mathematics and scientific computing, 2007.

Multiple state optimal design problems and Hashin-Shtrikman bounds

Vrdoljak, Marko
sažetak izlaganja sa skupa, Fourth international conference of applied mathematics and computing, 2007.

Sequential laminates in multiple state optimal design problems

Antonić, Nenad ; Vrdoljak, Marko
izvorni znanstveni rad, Mathematical Problems in Engineering, 2006.
Mathematical problems in engineering

On some properties of homogenised coefficients for stationary diffusion problem

Antonić, Nenad ; Vrdoljak, Marko
izvorni znanstveni rad, Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005.

Sequential laminates in multiple state optimal design problems

Antonić, Nenad ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Treći hrvatski matematički kongres, 2004.

On principal eigenvalue of stationary diffusion problem with nonsymmetric coefficients

Vrdoljak, Marko
izvorni znanstveni rad, Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2003.

On some projections of the homogenised coefficients in stationary diffusion equation

Antonić, Nenad ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Annual Scientific Conference GAMM 2003, 2003.

On some projections of homogenised coefficients for stationary diffusion equation

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

On some properties of homogenised coefficients for stationary diffusion problem

Antonić, Nenad ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Applied Mathematics and Scientific Computing, 2003.

Measure and integral

Antonić, Nenad ; Vrdoljak, Marko
ostalo, 2001.

Optimal design for the principal eigenvalue of stationary diffusion problems

Vrdoljak, Marko
sažetak izlaganja sa skupa, First SIAM-EMS Conference, Applied mathematics in our changing world, 2001.

Homogenisation of nonlinear elliptic systems

Antonić, Nenad ; Raguž, Andrija ; Vrdoljak, Marko
izvorni znanstveni rad, Applied mathematics and computation, 2001.

On principal eigenvalue of stationary diffusion problem with nonsymmetric coefficients

Vrdoljak, Marko
sažetak izlaganja sa skupa, Applied Mathematics and Scientific computing, 2001.

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

Antonić Nenad ; Balenović, Neven ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2nd Croatian congress of mathematics, 2000.

Optimal design for vibrating plates

Antonić, Nenad ; Balenović, Neven ; Vrdoljak, Marko
izvorni znanstveni rad, Zeitschrift fur Angewandte Mathematik und Mechanik, 2000.
Zeitschrift für angewandte Mathematik und Mechanik

Optimal microstructures for relaxed two-well energy

Antonić, Nenad ; Vrdoljak, Marko
sažetak izlaganja sa skupa, 2nd Croatian congress of mathematics, 2000.

Optimal shape design and hyperbolic problems

Antonić, Nenad ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Sixth SIAM Conference on Optimisation, 1999.

Optimal design for vibrating plates

Antonić, Nenad ; Balenović, Neven ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Gesellschaft fur Angewandte Mathematik und Mechanik 1999, Book of Abstracts, 1999.

Application of homogenisation in problems of optimal design

Vrdoljak, Marko
magistarski rad (mr. sc. i mr. art.), 1999.

Homogenisation of nonlinear elliptic systems

Raguž, Andrija ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Applied mathematics and computation, Dubrovnik, 1999.

Optimal design and hyperbolic problems

Antonić, Nenad ; Vrdoljak, Marko
izvorni znanstveni rad, Mathematical communications, 1999.

Optimal design and hyperbolic problems

Antonić, Nenad ; Vrdoljak, Marko
sažetak izlaganja sa skupa, Applied Mathematics and Computation, KOI'98 98., 1998.
Detaljno o radovima