CV

last update: 9.1.2017

Curriculum Vitae

  I was born on June 10th, 1963 in Bratislava, Slovakia, where I live now. I am married and I have three sons.

• 1986 - I finished the graduate study at the Comenius University Bratislava on the subject "Numerical Mathematics"

• 1987 - I got a permanent position at the Department of Numerical Mathematics at the Comenius University Bratislava

• 1992 - I stayed one year at the Engineering Faculty of Free University of Brussels, the subject of my research was the moisture transport in polymers

• 1993 - I stayed 3 months at the Institute of Applied Mathematics of University in Heidelberg, the subject of my research was the heat transfer in concrete

• 1994 - I defended my PhD. thesis on "Numerical Analysis of Some Reaction-Diffusion Problems" under the supervision of Prof. Kačur

• from 1995 - I worked 3 years in the group of Prof. Knabner at the Institute of Applied Mathematics in Erlangen on the scientific project about numerical simulation of density driven subsurface flows

• from 1998 - I worked 1 year at the group of Prof. Van Keer at the Department of Mathematical Analysis on the scientific research of contaminant transport in subsurface flows

• from 1999 - I worked 8 years at the University in Heidelberg where I coordinated, among others, the project on the numerical simulations of radioactive contaminant transport

• from 2007 - I am working at Department of Mathematics and Descriptive Geometry at Slovak University of Technology in Bratislava

• from 2013 I have the degree and position of associated professor.

• in 2017 - I was a guest professor at the Department of Mathematics. F. A. Universität Erlangen-Nürnberg.

Characteristics

In my research I am interested in the development, implementation and application of new numerical methods to solve mathematical models described by partial differential equations. 

I have developed (or cooperated on the development of) several novel new numerical methods, I have implemented and applied some of them in software tools like D3F (Distributed Density Driven Flows), R3T (Radionuclides, Reaction, Retardation and Transport) or UG (Unstructured Grids) that were used to produce numerical experiments in publications also by other authors. 

The numerical method of consistent velocity approximation (1996, 1998) is quoted in a review paper "Variable density flow and transport in porous media: approaches and challenges" by Diersch and Kolditz (Advances in Water Resources, 2002) as "Frolkovic-Knabner method" and it is implemented in commercial software FEFLOW, see below. I published new results on widely used benchmark in variable density groundwater simulation (so called Elder problem), the related publication is quoted in many papers.

In my research I have always been cooperating with engineers on some real life application like heat transfer in concrete, moisture absorption in epoxies, groundwater flow near saltdome, radioactive contaminant transport in groundwater, modeling of atherosclerotic lesion, image processing of biological data, forest fire propagation, and structural optimization.

I had invited lectures at conferences or seminars in Germany (Aachen, Erlangen, Freiburg, Heidelberg, Kiel, Oberwolfach, Schwetzingen), France (Avignon, Marseilles, Rocquencourt, Strassburg), Italy (Milan, Rome), England (Warwick), Japan (Miyazaki), Czech Republic (Prague), and Slovak Republic (Podbanské).

The topics of my research can be viewed also here.