last update: 17.10.2019
Starting from 2019 see my list of publications at GoogleScholar or Publons or ORCID.
Publications in bold can not be found in Publons or WoS or Scopus.
The list of the 10 most cited publications (for administration purposes only).
2019
J. Hahn, K. Mikula, P. Frolkovič, M. Medl’a, B. Basara: Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes. Computers & Mathematics with Applications
2018
P. Frolkovic, K. Mikula: Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids. Applied Mathematics and Computation, Volume 329, Pages 129-142, download the preprint version at arxiv., see at WoS (CC).
2017
John W. Elder, Craig T. Simmons, Hans-Jörg Diersch, Peter Frolkovič, Ekkehard Holzbecher and Klaus Johannsen: The Elder Problem. Fluids 2017, 2(1), 11; doi:10.3390/fluids2010011, see at WoS
J.Hahn, K.Mikula, P.Frolkovič, B.Basara: Semi-implicit Level Set Method with Inflow-Based Gradient in a Polyhedron Mesh. In: Cances C., Omnes P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham (2017) pp. 81-89, , download here, , see at WoS.
Hahn, J., Mikula, K., Frolkovič, P., Basara B.: Inflow-Based Gradient Finite Volume Method for a Propagation in a Normal Direction in a Polyhedron Mesh. J Sci Comput., 72 (1), p. 442–465, download here, see at WoS
Frolkovic, P.; Kleinova, V.: Two methods for optical flow estimation. Proceedings of Equadiff 2017 Conference, Bratislava; K. Mikula, D. Ševčovič and J. Urbán, Eds. Published by Slovak University of Technology, SPEKTRUM STU Publishing, 2017, see at WOS.
Graham Benham, Peter Frolkovic, Tihomir Ivanov, Raka Mondal. Sourav Mondal, Vivi Rottschäfer: The Germasogeia aquifer. Report from ESGI 2016 in Limassol.
Roberto Castelli, Peter Frolkovic, Christian Reinhardt, Chris Stolk, Jakub Tomczyk, Arthur Vromans: Fog detection and ranging from camera images. Report from SWI 2016 in Nijmegen.
2016
P. Frolkovič, M. Lampe, G. Wittum: Numerical simulation of contaminant transport in groundwater using software tools of r^3t. Comput. Vis. Sci., 18, p.17-29, see at WoS
P. Frolkovič, D. Logashenko, C. Wehner: Flux-based level-set method for two-phase flows on unstructured grids. Comput. Vis. Sci., 18, p.31-52, see at WoS
P. Frolkovič: "Semi-implicit methods based on inflow implicit and outflow explicit time discretization of advection", Proceeding of the conference Algoritmy, Editors: A. Handlovičová and D. Ševčovič. Publishing House of Slovak University of Technology in Bratislava, p. 165-174, preprint, see at WoS
Pártl, O.; Beneš, M.; Frolkovič, P.; Illangasekare, T.; Smits, K.: Numerical modeling of non-isothermal gas flow and NAPL vapor transport in soil. Computer Physics Communications, Volume 202, p. 175-187, see at WoS (CC)
Pártl, Ondřej; Beneš, Michal; Frolkovič, Peter: Finite Volume Scheme for Modeling of NAPL Vapor Transport in Air. Numerical Mathematics and Advanced Applications, ENUMATH 2015, Springer International Publishing, p. 531-538, 2016, see at WoS
Ondřej Pártl, Michal Beneš, Peter Frolkovič: "Numerical Simulation of NAPL Vapor Transport in Air", Proceeding of the conference Algoritmy, Editors: A. Handlovičová and D. Ševčovič. Publishing House of Slovak University of Technology in Bratislava, p. 214-223, see at WoS
2015
P. Frolkovič, K. Mikula, J. Urbán: "Distance function and extension in normal direction for implicitly defined interfaces", Discrete and Continuous Dynamical Systems - Series S, 8 (5), p. 871-880, see at WoS (CC)
P. Frolkovič, K. Mikula and J. Urbán: "Semi-implicit finite volume level set method for advective motion of interfaces in normal direction", Applied Numerical Mathematics, 95, p. 214-228, see at WoS (CC)
2014
M. Balažovjech, P. Frolkovič, R. Frolkovič, K. Mikula: "Semi-implicit second order accurate finite volume method for advection-diffusion level set equation", In: J. Fuhrmann et al. (eds.), Finite Volumes for Complex Applications VII, Springer Proceedings in Mathematics & Statistics 77, Springer 2014, p. 479-487, see at Springer, WoS
A. Handlovičová, P. Frolkovič: "Semi-implicit Alternating Discrete Duality Finite Volume Scheme for Curvature Driven Level Set Equation", In: J. Fuhrmann et al. (eds.), Finite Volumes for Complex Applications VII, Springer Proceedings in Mathematics & Statistics 77, Springer 2014, p. 333-342, see at Springer, WoS
2013
P. Frolkovič: Numerical solution of some advection dominated problems. Habilitation thesis. STU Bratislava.
P. Frolkovič: Prúdenie kvapalín a plynov. p. 1-107. STU Bratislava. (Fluid flows, in Slovak language)
2012
P. Frolkovič: Application of level set method for groundwater flow with moving boundary. Advances in Water Resources, Volume 47, October 2012, Pages 56–66, see at WoS (CC)
P. Frolkovič: Immersed interface method for a level set formulation of problems with moving boundaries, Algoritmy 2012, Publishing House of STU, ISBN 978-80-227-3742-5, 2012, p.32-41, see at WoS
P. Frolkovič: 6. Modeling of free groundwater table. In: Enhancement of the Codes d³f and r³t (compiled by A. Schneider), GRS-292, Braunschweig, ISBN 978-3-939355-68-7, p. 131-155 (abroad)
2010
P. Frolkovič: Flux-based level set method for extrapolation along characteristics using immersed interface formulation. In: MAGIA 2010, Kočovce, Publishing House of STU, p. 15-26 (sk)
P. Frolkovič, D. Logashenko, C. Wehner, G. Wittum: Finite volume method for two-phase flows using level set formulation, Preprint 2010-10, Department of Mathematics and Descriptive Geometry, Slovak University of Technology, Bratislava 2010 (npe)
P. Frolkovič, P. Zacharovská: Numerical Modelling of Dynamic Groundwater Table using Level Set Formulation. In: XVIII Conference on Computational Methods in Water Resources, Barcelona 2010, see at WoS.
2009
Bourgine, Paul -- Frolkovič, Peter -- Mikula, Karol -- Peyriéras, Nadine -- Remešíková, Mariana: Extraction of the Intercellular Skeleton from 2D Images of Embryogenesis Using Eikonal Equation and Advective Subjective Surface Method. In Scale space and variational methods in computer vision. SSVM 2009 : Proceedings 2nd International Conference, Voss, Norway. Berlin: Springer Verlag, s. 38--49, 2009, see at WoS.
Peter Frolkovic and Christian Wehner: Flux-based level set method on rectangular grids and computation of first arrival time functions, Computing and Visualization in Science, Vol. 12, No. 6. s. 297--306, 2009, see at WoS
2008
Peter Frolkovic, Dmitriy Logashenko, Gabriel Wittum: Flux-based level set method for two-phase flows, In R. Eymard and J.-M. Herard (editors), Finite Volumes for Complex Applications, ISTE and Wiley, p. 415-422, 2008 (abroad)
2007
Peter Frolkovic and Karol Mikula: High-resolution flux-based level set method, SIAM J. Sci. Comp. 29 (2), p. 579-597, 2007, see at WoS (CC).
Peter Frolkovic and Karol Mikula: Flux-based level set method: a finite volume method for evolving interfaces, Applied Numerical Mathematics, 4 (57), p. 436-454, 2007, see at WoS (CC).
P. Frolkovic, K. Mikula, N. Peyrieras and A. Sarti: A counting number of cells and cell segmentation using advection-diffusion equations, Kybernetika, 43 (6), p. 817-829, 2007, see homepage of Karol Mikula or at WoS (CC).
2006
Peter Frolkovic and Jozef Kacur: Semi-analytical solutions of contaminant transport equation with nonlinear sorption in 1D, Computational Geosciences, 3 (10), 279-290, 2006, see at WoS (CC)
Jens Eberhard and Peter Frolkovic: Numerical simulation of an atherosclerotic lesion with a moving boundary, IWR-Preprint, Heidelberg, 23.5.2006 (npe)
2005
Peter Frolkovic and Michael Lampe and Gabriel Wittum: r3t - software package for numerical simulations of radioactive contaminant transport in groundwater, WiR, Preprint 08/2005
2004
Peter Frolkovic: Flux-based methods of characteristics for coupled transport equations in porous media, Computing and Visualization in Science; 6 (2004), 173-184, see at Scopus.
Peter Frolkovic: The simulator, In E. Fein, editor, Software package r3t - Model for transport and retention in porous media, GRS-192, ISBN 3-931995-60-7, Braunschweig, p. 97-160, 2004 (abroad)
Peter Frolkovic: r3t User's Guide: The methods and the Simulator, Braunschweig, 2004
2003
Peter Frolkovic, Juergen Geiser: Discretization Methods with Discrete Minimum and Maximum Property for Convection Dominated Transport in Porous Media, In: Conference on Numerical Methods and Applications (I. Dimov et al., eds.),Lecture Notes in Computer Science 2542, Springer-Verlag Berlin Heidelberg, 2003, pp. 445-453, see at WoS.
2002
Peter Frolkovic: Flux-based method of characteristics for contaminant transport in flowing groundwater, Computing and Visualization in Science; 5 (2002), 73-83, see at Scopus.
Peter Frolkovic: Flux-based methods of characteristics for transport problems in groundwater flows induced by sources and sinks, In: Computational Methods in Water Resources (S.M. Hassanizadeh et al.), Volume II., Elsevier 2002, pp. 979-986, see at WoS.
2000
Peter Frolkovic, Hennie De Schepper: Numerical modelling of convection dominated transport coupled with density driven flow in porous media, Advances in Water Resources, 24 (1), 2000, p. 63-72, see at WoS (CC).
Peter Frolkovic and Juergen Geiser: Numerical Simulations of Radionuclides Transport in Double Porosity Media with Sorption, In: Algoritmy 2000 (A. Handlovicova, M. Komornikova, K. Mikula, D. Sevcovic, eds.); Proceedings of contributed papers; p. 28-36; Slovak University of Technology; Bratislava; 2000 (sk)
1998
Peter Frolkovic: Consistent velocity approximation for density driven flow and transport, In: Advanced Computational Methods in Engineering, Part 2: Contributed papers; (R. Van Keer at al., eds.), Shaker Publishing, Maastricht, 1998, p. 603-611 (abroad)
Peter Frolkovic: Maximum principle and local mass balance for numerical solutions of transport equation coupled with variable density flow, Acta Mathematica Universitatis Comenianae; 1 (67), 1998; p.137-157 (sk)
Peter Frolkovic: Discretization in d3f - A Simulator for Density-Driven Flow, In: User's Manual, Gesellschaft fuer Anlagen-und Reaktorsicherheit (mbH), Braunschweig, 1998, 39 pages
Peter Frolkovic: 5.3.2 Diskretisierung. In: d3f - ein Programmpaket zur Modellierung von Dichtestroemungen - Abschlussbericht, (compiled and translated by E. Fein), ISBN 3-923875-97-5, GRS-139, Braunschweig, p. 58-73, 1998 (abroad)
1997
Peter Frolkovic, Peter Knabner, Christoph Tapp, Kathrin Thiele: Adaptive Finite Volume Discretization of Density Driven Flows in Porous Media, In: Transport de contaminants en mileux poreux (support de cours), CEA-EDF-INRIA, INRIA, June 1997, p. 322-355 (abroad)
1996
Peter Frolkovic, Peter Knabner: Consistent Velocity Approximations in Finite Element or Volume Discretizations of Density Driven Flow, In: "Computational Methods in Water Resources XI", Vol. 1 (A.A. Aldama et al., eds.), Computational Mechanics Publication, Southampton, 1996, p. 93-100, see at WoS.
Peter Frolkovic, P.J. Shopov, W. P.De Wilde: Free and bond water type models of penetrant sorption in epoxies, Science and Engineering of Composite Materials, 5 (1), 1996, pp. 39-55, see at WoS.
Peter Frolkovic: Finite volume discretizations of density driven flows in porous media, In: "Finite Volumes for Complex Applications" (Benkhaldoun F, Vilsmeier R., eds.); Hermes, Paris, 1996; p.433-440 (abroad)
Peter Frolkovic, J. Kovacova: Numerical Computations for the Problem of Heat Transfer in Concrete, Mathematics Preprint M3-96, Faculty of Mathematics and Physics, Comenius University, April 1996 (npe)
< 1996
Peter Frolkovic, W. P. De Wilde: The modelling of moisture absorption in epoxies: effects at the boundaries, Composites, 2 (25), 1994, pp. 119-127, see at WoS.
Peter Frolkovic: Analysis, Numerics and Computations for Some Reaction-Diffusion Problems, Preprint 94-25, SFB 359, Universitaet Heidelberg, April 1994
Peter Frolkovic: "The directions of bifurcation for nonlinear equations, Mathematics Preprint M9-91, Faculty of Mathematics and Physics, Comenius University, December 1991 (npe)
Peter Frolkovic: "A Contribution to Frontal Method for the Problems with Finite Elements (in slovak); In: Numerical Methods and Applications, Modra, 1990, p.100-104 (sk)