Edit Profile (opens in new tab) Frolkovič, Peter Co-Author Distance Author ID: frolkovic.peter Published as: Frolkovič, Peter; Frolkovic, Peter; Frolkovič, P. more...less External Links: ORCID Documents Indexed: 37 Publications since 1998, including 2 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 33 Co-Authors with 36 Joint Publications 495 Co-Co-Authors all top 5 Co-Authors 4 single-authored 19 Mikula, Karol 8 Hahn, Jooyoung 7 Basara, Branislav 3 Balazovjech, Martin 2 Beneš, Michal 2 Geiser, Jürgen 2 Handlovičová, Angela 2 Logashenko, Dmitry 2 Pártl, Ondřej 2 Ray, Nadja 2 Urbán, Jozef 2 Wehner, Christian 2 Wittum, Gabriel 2 Žeravý, Michal 1 Frolkovič, Richard 1 Gajdošová, Nikola 1 Gärttner, Stephan 1 Illangasekare, Tissa H. 1 Kacur, Jozef 1 Kleinová, Viera 1 Knabner, Peter 1 Krišková, Svetlana 1 Lacková, Katarína 1 Lampe, Michael 1 Martin, Dirk 1 Medl’a, Matej 1 Oberlander, Jens 1 Peyriéras, Nadine 1 Priesching, Peter 1 Rohová, Michaela 1 Sarti, Alex 1 Ševčovič, Daniel 1 Smits, Kathleen all top 5 Serials 7 Computing and Visualization in Science 3 Computers & Mathematics with Applications 3 Discrete and Continuous Dynamical Systems. Series S 2 Applied Mathematics and Computation 2 Applied Numerical Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Geosciences 1 Computer Physics Communications 1 International Journal for Numerical Methods in Engineering 1 Kybernetika 1 Journal of Scientific Computing 1 Acta Mathematica Universitatis Comenianae. New Series 1 SIAM Journal on Scientific Computing 1 Multiscale Modeling & Simulation all top 5 Fields 34 Numerical analysis (65-XX) 20 Fluid mechanics (76-XX) 16 Partial differential equations (35-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 151 times in 81 Documents Cited by ▼ Year ▼ High-resolution flux-based level set method. Zbl 1141.76041 Frolkovič, Peter; Mikula, Karol 19 2007 Flux-based level set method: A finite volume method for evolving interfaces. Zbl 1120.65093 Frolkovič, Peter; Mikula, Karol 17 2007 Flux-based method of characteristics for contaminant transport in flowing groundwater. Zbl 1052.76578 Frolkovič, Peter 14 2002 Maximum principle and local mass balance for numerical solutions of transport equation coupled with variable density flow. Zbl 0940.76039 Frolkovič, P. 12 1998 Semi-implicit finite volume level set method for advective motion of interfaces in normal direction. Zbl 1320.65124 Frolkovič, Peter; Mikula, Karol; Urbán, Jozef 8 2015 Flux-based level set method on rectangular grids and computation of first arrival time functions. Zbl 1213.65124 Frolkovič, Peter; Wehner, Christian 7 2009 Numerical simulations of radionuclides transport in double porosity media with sorption. Zbl 1057.76596 Frolkovič, Peter; Geiser, Jürgen 6 2001 Flux-based level set method for two-phase flow. Towards pure finite volume discretization of incompressible two-phase flow using a level set formulation. Zbl 1374.76166 Frolkovič, Peter; Logashenko, Dmitriy; Wittum, Gabriel 6 2008 Numerical investigation of a fully coupled micro-macro model for mineral dissolution and precipitation. Zbl 1425.76252 Ray, Nadja; Oberlander, Jens; Frolkovic, Peter 6 2019 Semi-implicit level set method with inflow-based gradient in a polyhedron mesh. Zbl 1365.65204 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav 5 2017 Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh. Zbl 1371.65092 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav 5 2017 Discretization methods with discrete minimum and maximum property for convection dominated transport in porous media. Zbl 1119.76356 Frolkovic, Peter; Geiser, Jürgen 5 2003 Efficiency of micro-macro models for reactive two-mineral systems. Zbl 1507.35177 Gärttner, Stephan; Frolkovič, Peter; Knabner, Peter; Ray, Nadja 5 2022 Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes. Zbl 1442.65196 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Medl’a, Matej; Basara, Branislav 5 2019 Counting number of cells and cell segmentation using advection-diffusion equations. Zbl 1140.35468 Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex 4 2007 Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids. Zbl 1427.65162 Frolkovič, Peter; Mikula, Karol 4 2018 Numerical simulation of contaminant transport in groundwater using software tools of \(r^3t\). Zbl 1360.76007 Frolkovič, Peter; Lampe, Michael; Wittum, Gabriel 3 2016 Semi-analytical solutions of a contaminant transport equation with nonlinear sorption in 1D. Zbl 1197.76120 Frolkovič, Peter; Kačur, Jozef 3 2006 Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh. Zbl 1465.65116 Frolkovič, Peter; Mikula, Karol; Hahn, Jooyoung; Martin, Dirk; Basara, Branislav 3 2021 Numerical modeling of non-isothermal gas flow and NAPL vapor transport in soil. Zbl 1348.76157 Pártl, Ondřej; Beneš, Michal; Frolkovič, Peter; Illangasekare, Tissa; Smits, Kathleen 2 2016 Distance function and extension in normal direction for implicitly defined interfaces. Zbl 1321.76045 Frolkovič, Peter; Mikula, Karol; Urbán, Jozef 2 2015 Flux-based level-set method for two-phase flows on unstructured grids. Zbl 1360.76159 Frolkovič, Peter; Logashenko, Dmitriy; Wehner, Christian 2 2016 High resolution compact implicit numerical scheme for conservation laws. Zbl 1511.65081 Frolkovič, Peter; Žeravý, Michal 2 2023 Finite volume scheme for modeling of NAPL vapor transport in air. Zbl 1387.76068 Pártl, Ondřej; Beneš, Michal; Frolkovič, Peter 1 2016 Semi-implicit second order accurate finite volume method for advection-diffusion level set equation. Zbl 1320.65123 Balažovjech, Martin; Frolkovič, Peter; Frolkovič, Richard; Mikula, Karol 1 2014 Flux-based methods of characteristics for coupled transport equations in porous media. Zbl 1522.65163 Frolkovič, Peter 1 2004 Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes. Zbl 07767258 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav 1 2022 Cell-centered finite volume method for regularized mean curvature flow on polyhedral meshes. Zbl 1451.65119 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Balažovjech, Martin; Basara, Branislav 1 2020 Semi-implicit methods for advection equations with explicit forms of numerical solution. Zbl 1506.65122 Frolkovič, Peter; Krišková, Svetlana; Rohová, Michaela; Žeravý, Michal 1 2022 High resolution compact implicit numerical scheme for conservation laws. Zbl 1511.65081 Frolkovič, Peter; Žeravý, Michal 2 2023 Efficiency of micro-macro models for reactive two-mineral systems. Zbl 1507.35177 Gärttner, Stephan; Frolkovič, Peter; Knabner, Peter; Ray, Nadja 5 2022 Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes. Zbl 07767258 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav 1 2022 Semi-implicit methods for advection equations with explicit forms of numerical solution. Zbl 1506.65122 Frolkovič, Peter; Krišková, Svetlana; Rohová, Michaela; Žeravý, Michal 1 2022 Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh. Zbl 1465.65116 Frolkovič, Peter; Mikula, Karol; Hahn, Jooyoung; Martin, Dirk; Basara, Branislav 3 2021 Cell-centered finite volume method for regularized mean curvature flow on polyhedral meshes. Zbl 1451.65119 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Balažovjech, Martin; Basara, Branislav 1 2020 Numerical investigation of a fully coupled micro-macro model for mineral dissolution and precipitation. Zbl 1425.76252 Ray, Nadja; Oberlander, Jens; Frolkovic, Peter 6 2019 Iterative inflow-implicit outflow-explicit finite volume scheme for level-set equations on polyhedron meshes. Zbl 1442.65196 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Medl’a, Matej; Basara, Branislav 5 2019 Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids. Zbl 1427.65162 Frolkovič, Peter; Mikula, Karol 4 2018 Semi-implicit level set method with inflow-based gradient in a polyhedron mesh. Zbl 1365.65204 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav 5 2017 Inflow-based gradient finite volume method for a propagation in a normal direction in a polyhedron mesh. Zbl 1371.65092 Hahn, Jooyoung; Mikula, Karol; Frolkovič, Peter; Basara, Branislav 5 2017 Numerical simulation of contaminant transport in groundwater using software tools of \(r^3t\). Zbl 1360.76007 Frolkovič, Peter; Lampe, Michael; Wittum, Gabriel 3 2016 Numerical modeling of non-isothermal gas flow and NAPL vapor transport in soil. Zbl 1348.76157 Pártl, Ondřej; Beneš, Michal; Frolkovič, Peter; Illangasekare, Tissa; Smits, Kathleen 2 2016 Flux-based level-set method for two-phase flows on unstructured grids. Zbl 1360.76159 Frolkovič, Peter; Logashenko, Dmitriy; Wehner, Christian 2 2016 Finite volume scheme for modeling of NAPL vapor transport in air. Zbl 1387.76068 Pártl, Ondřej; Beneš, Michal; Frolkovič, Peter 1 2016 Semi-implicit finite volume level set method for advective motion of interfaces in normal direction. Zbl 1320.65124 Frolkovič, Peter; Mikula, Karol; Urbán, Jozef 8 2015 Distance function and extension in normal direction for implicitly defined interfaces. Zbl 1321.76045 Frolkovič, Peter; Mikula, Karol; Urbán, Jozef 2 2015 Semi-implicit second order accurate finite volume method for advection-diffusion level set equation. Zbl 1320.65123 Balažovjech, Martin; Frolkovič, Peter; Frolkovič, Richard; Mikula, Karol 1 2014 Flux-based level set method on rectangular grids and computation of first arrival time functions. Zbl 1213.65124 Frolkovič, Peter; Wehner, Christian 7 2009 Flux-based level set method for two-phase flow. Towards pure finite volume discretization of incompressible two-phase flow using a level set formulation. Zbl 1374.76166 Frolkovič, Peter; Logashenko, Dmitriy; Wittum, Gabriel 6 2008 High-resolution flux-based level set method. Zbl 1141.76041 Frolkovič, Peter; Mikula, Karol 19 2007 Flux-based level set method: A finite volume method for evolving interfaces. Zbl 1120.65093 Frolkovič, Peter; Mikula, Karol 17 2007 Counting number of cells and cell segmentation using advection-diffusion equations. Zbl 1140.35468 Frolkovič, Peter; Mikula, Karol; Peyriéras, Nadine; Sarti, Alex 4 2007 Semi-analytical solutions of a contaminant transport equation with nonlinear sorption in 1D. Zbl 1197.76120 Frolkovič, Peter; Kačur, Jozef 3 2006 Flux-based methods of characteristics for coupled transport equations in porous media. Zbl 1522.65163 Frolkovič, Peter 1 2004 Discretization methods with discrete minimum and maximum property for convection dominated transport in porous media. Zbl 1119.76356 Frolkovic, Peter; Geiser, Jürgen 5 2003 Flux-based method of characteristics for contaminant transport in flowing groundwater. Zbl 1052.76578 Frolkovič, Peter 14 2002 Numerical simulations of radionuclides transport in double porosity media with sorption. Zbl 1057.76596 Frolkovič, Peter; Geiser, Jürgen 6 2001 Maximum principle and local mass balance for numerical solutions of transport equation coupled with variable density flow. Zbl 0940.76039 Frolkovič, P. 12 1998 all cited Publications top 5 cited Publications all top 5 Cited by 132 Authors 22 Frolkovič, Peter 18 Mikula, Karol 8 Hahn, Jooyoung 7 Basara, Branislav 7 Wittum, Gabriel 6 Geiser, Jürgen 6 Logashenko, Dmitry 4 Ray, Nadja 3 Beneš, Michal 3 Gärttner, Stephan 3 Knabner, Peter 3 Ohlberger, Mario 3 Peyriéras, Nadine 3 Urbán, Jozef 2 Aizinger, Vadym 2 Balazovjech, Martin 2 Bonaventura, Luca 2 Bringedal, Carina 2 Bungert, Leon 2 Dechaumphai, Pramote 2 Grillo, Alfio 2 Illangasekare, Tissa H. 2 Kacur, Jozef 2 Keyes, David Elliot 2 Litvinenko, Alexander 2 Pártl, Ondřej 2 Phongthanapanich, Sutthisak 2 Reiter, Sebastian 2 Remešiková, Mariana 2 Špir, Róbert 2 Tempone, Raúl F. 2 Wehner, Christian 2 Žeravý, Michal 1 Alpak, Faruk Omer 1 Amir, Laila 1 Beljadid, Abdelaziz 1 Bernauer, Martin K. 1 Borsi, Iacopo 1 Boscheri, Walter 1 Bourgine, Paul 1 Buck, V. 1 Busto, Saray 1 Clain, Stéphane Louis 1 Čunderliḱ, Róbert 1 Dalibard, Anne-Laure 1 Dong, Cheng 1 Dong, Qi 1 Drblíková-Stašová, Olga 1 Dumbser, Michael 1 Faure, Emmanuel 1 Ferretti, Roberto Giorgio 1 Fischer, Torsten 1 Flemisch, Bernd 1 Frank, Florian 1 Fučík, Radek 1 Fuhrmann, Jürgen 1 Fumagalli, Alessio 1 Gilles, Ernst Dieter 1 Herzog, Roland 1 Hysing, Shuren 1 Itzá-Balam, Reymundo 1 Itzábalam, Reymundo 1 Kang, Tong 1 Karjoun, Hasan 1 Kelm, Mathis 1 Kern, Michel 1 Kleinová, Viera 1 Krišková, Svetlana 1 Kröhn, Klaus-Peter 1 Kútik, Pavol 1 Kuzmin, Dmitri 1 Lacková, Katarína 1 Lampe, Michael 1 Langmach, Hartmut 1 Le Bris, Claude 1 LeFloch, Philippe Gerard 1 Li, Chanjie 1 Lipnikov, Konstantin N. 1 Lopes, Diogo 1 Lyashko, Sergeĭ Ivanovich 1 Mahmudova, Ayisha 1 Martin, Dirk 1 Medl’a, Matej 1 Meier, Andreas 1 Metzger, Stefan 1 Mierka, Otto 1 Mlkula, Karol 1 Morigi, Serena 1 Motz, S. 1 Nägel, Arne 1 Ngo, Long Cu 1 Oberhuber, Tomás 1 Oberlander, Jens 1 Okock, Omondi Polycarp 1 Olivares, Manuela Bastidas 1 Pareschi, Lorenzo 1 Pereira, Paulo A. A. 1 Pereira, Rui M. S. 1 Peshkov, Ilya M. 1 Peter, Malte Andreas ...and 32 more Authors all top 5 Cited in 35 Serials 11 Computing and Visualization in Science 6 Applied Mathematics and Computation 6 Applied Numerical Mathematics 6 Computational Geosciences 5 Discrete and Continuous Dynamical Systems. Series S 3 Computers & Mathematics with Applications 3 Journal of Scientific Computing 2 International Journal for Numerical Methods in Fluids 2 Journal of Computational Physics 2 Kybernetika 2 Japan Journal of Industrial and Applied Mathematics 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Multiscale Modeling & Simulation 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 International Journal of Computer Mathematics 1 Journal of Mathematical Imaging and Vision 1 Cybernetics and Systems Analysis 1 Tatra Mountains Mathematical Publications 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 Journal of Applied Mathematics 1 Central European Journal of Mathematics 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 Communications in Computational Physics 1 GEM - International Journal on Geomathematics 1 Communications in Applied and Industrial Mathematics all top 5 Cited in 16 Fields 57 Numerical analysis (65-XX) 42 Fluid mechanics (76-XX) 36 Partial differential equations (35-XX) 8 Geophysics (86-XX) 6 Mechanics of deformable solids (74-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 4 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year