Edit Profile (opens in new tab) Lukáčová-Medvid’ová, Mária Compute Distance To: Compute Author ID: lukacova-medvidova.maria Published as: Lukáčová-Medvid’ová, Mária; Lukáčová-Medvid’ová, M.; Lukáčová-Medviďová, Mária; Lukáčová-Medviďová, M.; Lukáčová-Medvid’ová, Maria; Lukáčová-Medvidová, M.; Lukácová-Medvid’ová, Mária; Lukáčová-Medvid’Ová, Mária; Lukáčová-Medvidová, Maria; Lukáčová-Medvidová, Mária; Medviďová-Lukáčová, Mária; Lukáčová-Medviová, Maria; Lukácová-Medvid’ová, M.; Medvid’ová-Lukáčová, M.; Lukácová-Medvidová, M.; Lukàčová-Medviďová, M.; Lukáčová-Medvi’ová, M.; Medviďová, Mária Homepage: https://www.numerik.mathematik.uni-mainz.de/prof-dr-maria-lukacova-medvidova/ External Links: MGP · Wikidata · Google Scholar · dblp · GND Documents Indexed: 89 Publications since 1994, including 1 Book 1 Contribution as Editor Co-Authors: 71 Co-Authors with 85 Joint Publications 1,566 Co-Co-Authors all top 5 Co-Authors 4 single-authored 16 Warnecke, Gerald G. 12 Mizerová, Hana 10 Nečasová, Šárka 8 Feireisl, Eduard 8 Morton, Keith William 8 Noelle, Sebastian 7 Arun, K. R. 6 She, Bangwei 5 Zahaykah, Yousef 4 Hundertmark-Zaušková, Anna 4 Kolbe, Niklas 4 Prasad, Phoolan 4 Prill, Florian 4 Sfakianakis, Nikolaos I. 3 Bispen, Georgij 3 Feistauer, Miloslav 3 Felcman, Jiří 3 Hartmann, Ralf 3 Kurganov, Alexander 3 Saibertová, Jitka 3 Schütz, Jochen 2 Bollermann, Andreas 2 Chertock, Alina E. 2 Dudzinski, Michael 2 Hellmann, Nadja 2 Kučera, Václav 2 Notsu, Hirofumi 2 Raghurama Rao, S. V. 2 Tabata, Masahisa 2 Teschke, Ulf 2 Yelash, Leonid 1 Abgrall, Rémi 1 Baumbach, K. 1 Beck, Andrea D. 1 Brunk, Aaron 1 Carrillo de la Plata, José Antonio 1 Corli, Andrea 1 Dünweg, Burkhard 1 Garavello, Mauro 1 Gasser, Ingenuin 1 Giesselmann, Jan 1 Giraldo, Francis X. 1 Grandmont, Céline 1 Gwiazda, Piotr 1 Hundertmark, Anna 1 Kaiser, Klaus Hermann 1 Kat’uchová, Jana 1 Kröger, Tim 1 Li, Jiequan 1 Munz, Claus-Dieter 1 Novotný, Antonín 1 Özcan, Şeyma Nur 1 Renardy, Michael 1 Roggensack, Arne 1 Rosemeier, J. 1 Rusnakova, Gabriela 1 Saibertová-Zatočilová, Jitka 1 Scharpenberg, Moriz Dirk 1 Spichtinger, P. 1 Stebel, Jan 1 Strasser, Paul J. 1 Świerczewska-Gwiazda, Agnieszka 1 Tadmor, Eitan 1 Tierra, Giordano 1 Trivisa, Konstantina 1 Vlk, Z. 1 Wang, Yue 1 Wiebe, B. 1 Wirth, V. 1 Zaušková, Anna 1 Zeifang, Jonas all top 5 Serials 7 Journal of Computational Physics 3 International Journal for Numerical Methods in Fluids 3 Numerische Mathematik 3 Journal of Scientific Computing 3 SIAM Journal on Scientific Computing 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Computational Physics 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 Commentationes Mathematicae Universitatis Carolinae 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Applications of Mathematics 2 Foundations of Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Numerical Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Methods for Partial Differential Equations 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 East-West Journal of Numerical Mathematics 1 Discrete and Continuous Dynamical Systems 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Nonlinear Analysis. Real World Applications 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 Oberwolfach Reports 1 Kinetic and Related Models 1 MS&A. Modeling, Simulation and Applications all top 5 Fields 63 Numerical analysis (65-XX) 57 Fluid mechanics (76-XX) 56 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 7 Mechanics of deformable solids (74-XX) 6 Geophysics (86-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 654 times in 402 Documents Cited by ▼ Year ▼ A weakly asymptotic preserving low Mach number scheme for the Euler equations of gas dynamics. Zbl 1321.76053Noelle, S.; Bispen, G.; Arun, K. R.; Lukáčová-Medviďová, M.; Munz, C.-D. 44 2014 Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria 39 2011 Well-balanced finite volume evolution Galerkin methods for the shallow water equations. Zbl 1123.76041Lukáčová-Medvid’ová, M.; Noelle, S.; Kraft, M. 33 2007 On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems. Zbl 0869.65057Feistauer, Miloslav; Felcman, Jiří; Lukáčová-Medvid’ová, Mária 32 1997 Error estimates for a combined finite volume-finite element method for nonlinear convection-diffusion problems. Zbl 0960.65098Feistauer, Miloslav; Felcman, Jirí; Lukácová-Medvid’ová, Mária; Warnecke, Gerald 28 1999 IMEX large time step finite volume methods for low Froude number shallow water flows. Zbl 1373.76117Bispen, Georgij; Arun, K. R.; Lukáčová-Medvid’ová, Mária; Noelle, Sebastian 26 2014 Evolution Galerkin methods for hyperbolic systems in two space dimensions. Zbl 0951.35076Lukácová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 26 2000 Combined finite element-finite volume solution of compressible flow. Zbl 0852.76040Feistauer, Miloslav; Felcman, Jiří; Lukáčová-Medvid’ová, Mária 24 1995 Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation. Zbl 1375.76023Bispen, Georgij; Lukáčová-Medvid’ová, Mária; Yelash, Leonid 23 2017 Numerical study of two-species chemotaxis models. Zbl 1282.92011Kurganov, Alexander; Lukáčová-Medviďová, Mária 21 2014 Finite volume evolution Galerkin methods for hyperbolic systems. Zbl 1078.65562Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G. 21 2004 Kinematic splitting algorithm for fluid-structure interaction in hemodynamics. Zbl 1286.76176Lukáčová-Medvid’ová, M.; Rusnáková, G.; Hundertmark-Zaušková, A. 20 2013 Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. Zbl 1090.65536Lukáčová-Medvid’ová, M.; Saibertová, J.; Warnecke, G. 17 2002 Smoothed aggregation multigrid for the discontinuous Galerkin method. Zbl 1200.35059Prill, Florian; Lukáčová-Medvidová, Maria; Hartmann, Ralf 15 2009 Convergence of a mixed finite element-finite volume scheme for the isentropic Navier-Stokes system via dissipative measure-valued solutions. Zbl 1402.65096Feireisl, Eduard; Lukáčová-Medvid’ová, Mária 14 2018 Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Zbl 1023.76026Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 13 2002 A multiscale approach to the migration of cancer stem cells: mathematical modelling and simulations. Zbl 1373.92068Sfakianakis, Nikolaos; Kolbe, Niklas; Hellmann, Nadja; Lukáčová-Medvid’ová, Mária 13 2017 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 12 2018 Numerical modelling of shear-thinning non-Newtonian flows in compliant vessels. Zbl 1151.76020Lukáčová-Medviďová, M.; Zaušková, A. 11 2008 An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions. Zbl 1087.76065Kröger, Tim; Lukáčová-Medvid’ová, Mária 11 2005 Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. Zbl 1349.76292Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V. 9 2014 Finite volume evolution Galerkin method for hyperbolic conservation laws with spatially varying flux functions. Zbl 1165.65390Arun, K. R.; Kraft, M.; Lukáčová-Medvid’ová, M.; Prasad, Phoolan 9 2009 Well-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry fronts. Zbl 1291.76214Dudzinski, M.; Lukáčová-Medvid’ová, M. 8 2013 Mathematical and numerical analysis of some FSI problems. Zbl 1365.74066Grandmont, Céline; Lukáčová-Medvid’ová, Mária; Nečasová, Šárka 8 2014 On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid. Zbl 1334.76032Hundertmark-Zaušková, Anna; Lukáčová-Medviďová, Mária; Nečasová, Šárka 7 2016 Global existence result for the generalized Peterlin viscoelastic model. Zbl 1368.76007Lukáčová-Medviďová, Mária; Mizerová, Hana; Nečasová, Šárka; Renardy, Michael 7 2017 Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model. Zbl 1406.35429Giesselmann, Jan; Kolbe, Niklas; Lukáčová-Medviďová, Mária; Sfakianakis, Nikolaos 7 2018 On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system. Zbl 1122.65079Lukàčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 6 2006 On the entropy stability of Roe-type finite volume methods. Zbl 1186.65121Lukáčová-Medvid’ová, Mária; Tadmor, Eitan 6 2009 Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0959.65104Lukáčová-Medvid’ová, M.; Warnecke, Gerald 6 2000 Bipolar isothermal non-Newtonian compressible fluids. Zbl 0951.76004Matušů-Nečasová, Š.; Medvid’ová-Lukáčová, M. 6 1998 A finite volume scheme for the Euler system inspired by the two velocities approach. Zbl 1435.65137Feireisl, Eduard; Lukáčová-Medvid’Ová, Mária; Mizerová, Hana 6 2020 Asymptotic preserving error estimates for numerical solutions of compressible Navier-Stokes equations in the low Mach number regime. Zbl 1397.35171Feireisl, Eduard; Lukáčová-Medviďová, Mária; Nečasová, Šárka; Novotný, Antonín; She, Bangwei 5 2018 Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. I: A nonlinear scheme. Zbl 1421.76159Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa 5 2017 Bipolar barotropic non-Newtonian fluid. Zbl 0809.76001Matušů-Nečasová, Šárka; Medviďová, Mária 5 1994 On evolution Galerkin methods for the Maxwell and the linearized Euler equations. Zbl 1099.65088Lukáčová-Medvidová, Mária; Saibertová, Jitka; Warnecke, Gerald; Zahaykah, Yousef 5 2004 Global existence and uniqueness result for the diffusive Peterlin viscoelastic model. Zbl 1320.35343Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Nečasová, Šárka 5 2015 Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system. Zbl 1032.65112Li, Jiequan; Lukáčová-Medviďová, Mária; Warnecke, Gerald 5 2003 Convergence of a finite volume scheme for the compressible Navier-Stokes system. Zbl 1447.35243Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana; She, Bangwei 5 2019 \(\mathscr{K}\)-convergence as a new tool in numerical analysis. Zbl 1465.65045Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana 5 2020 Numerical analysis of the Oseen-type peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. II: A linear scheme. Zbl 1421.76160Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa 4 2017 Large time step finite volume evolution Galerkin methods. Zbl 1221.65232Hundertmark-Zaušková, A.; Lukáčová-Medvid’ová, M.; Prill, F. 4 2011 An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur 4 2019 A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: the urokinase model. Zbl 1410.92049Kolbe, Niklas; Kat’uchová, Jana; Sfakianakis, Nikolaos; Hellmann, Nadja; Lukáčová-Medvid’ová, Mária 4 2016 Comparison study of some finite volume and finite element methods for the shallow water equations with bottom topography and friction terms. Zbl 1320.76083Lukáčová-Medvid’ová, M.; Teschke, U. 4 2006 Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. Zbl 1119.65093Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 4 2007 Finite volume schemes for multi-dimensional hyperbolic systems based on the use of bicharacteristics. Zbl 1164.76358Lukáčová-Medvid’ová, Mária; Saibertová-Zatočilová, Jitka 4 2006 A novel full-Euler low Mach number IMEX splitting. Zbl 07418366Zeifang, Jonas; Schütz, Jochen; Kaiser, Klaus; Beck, Andrea; Lukáčová-Medvid’ová, Maria; Noelle, Sebastian 4 2020 Error analysis of finite element and finite volume methods for some viscoelastic fluids. Zbl 1338.76059Lukáčová-Medvid’ová, Mária; Mizerová, Hana; She, Bangwei; Stebel, Jan 3 2016 An application of 3-D kinematical conservation laws: propagation of a 3-D wavefront. Zbl 1217.35115Arun, K. R.; Lukáčová-Medvid’ová, M.; Prasad, Phoolan; Rao, S. V. Raghurama 3 2010 Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. Zbl 1057.65067Lukáčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 3 2003 Evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0968.65070Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 3 1998 Energy-stable linear schemes for polymer-solvent phase field models. Zbl 1442.65275Strasser, Paul J.; Tierra, Giordano; Dünweg, Burkhard; Lukáčová-Medvid’ová, Mária 3 2019 A multiscale approach to liquid flows in pipes. I: The single pipe. Zbl 1286.76054Corli, Andrea; Gasser, Ingenuin; Lukáčová-Medvid’ová, Mária; Roggensack, Arne; Teschke, Ulf 3 2012 On the boundary conditions for EG methods applied to the two-dimensional wave equation system. Zbl 1052.65095Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 3 2004 Well-balanced finite volume evolution Galerkin methods for the shallow water equations with source terms. Zbl 1064.76073Lukáčová-Medvid’ová, M.; Vlk, Z. 3 2005 On the weak solution of the fluid-structure interaction problem for shear-dependent fluids. Zbl 1336.35294Hundertmark, Anna; Lukáčová-Medviďová, Mária; Nečasová, Šárka 3 2016 Numerical study of shear-dependent non-Newtonian fluids in compliant vessels. Zbl 1201.76322Hundertmark-Zaušková, A.; Lukáčová-Medvid’ová, M. 3 2010 Genuinely multidimensional evolution Galerkin schemes for the shallow water equations. Zbl 1283.76042Lukáčová-Medvid’ová, M.; Saibertová, J. 2 2003 High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws. Zbl 0971.65090Lukáčová-Medviďová, M.; Morton, K. W.; Warnecke, Gerald 2 2000 Well-balanced finite volume evolution Galerkin methods for the 2D shallow water equations on adaptive grids. Zbl 1170.76036Bollermann, A.; Lukáčová-Medviďová, M.; Noelle, S. 2 2009 Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements. Zbl 1171.65078Hartmann, R.; Lukáčová-Medvid’ová, M.; Prill, F. 2 2009 Combined finite element–finite volume method (convergence analysis). Zbl 0938.65111Lukáčová-Medviďová, Mária 2 1997 Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions. Zbl 1447.65050Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana 2 2020 Finite volume evolution Galerkin methods for multidimensional hyperbolic problems. Zbl 1052.65529Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 2 1999 Finite volume evolution Galerkin methods – A survey. Zbl 1203.65161Lukáčová-Medvid’ová, M.; Morton, K. W. 2 2010 Bipolar barotropic non-Newtonian compressible fluids. Zbl 0992.76010Matušů-Nečasová, Šárka; Medviďová-Lukáčová, Mária 1 2000 IMEX finite volume methods for cloud simulation. Zbl 1365.76163Lukáčová-Medvid’ová, M.; Rosemeier, J.; Spichtinger, P.; Wiebe, B. 1 2017 Multidimensional bicharacteristic finite volume methods for the shallow water equations. Zbl 1177.76238Lukáčová-Medvid’ová, Mária 1 2002 Numerical aspects of parabolic regularization for resonant hyperbolic balance laws. Zbl 1138.65073Kraft, M.; Lukáčová-Medvid’ová, M. 1 2008 A second order accurate kinetic relaxation scheme for inviscid compressible flows. Zbl 1381.76275Arun, K. R.; Lukáčová-Medvidová, M.; Prasad, Phoolan; Raghurama Rao, S. V. 1 2013 On the comparison of evolution Galerkin and discontinuous Galerkin schemes. Zbl 1157.65446Baumbach, K.; Lukáčová-Medviďová, M. 1 2008 Existence of global weak solutions to the kinetic Peterlin model. Zbl 1405.35219Gwiazda, P.; Lukáčová-Medvidová, M.; Mizerová, H.; Świerczewska-Gwiazda, A. 1 2018 Numerical analysis of compressible fluid flows (to appear). Zbl 07349496Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana; She, Bangwei 1 2021 Numerical analysis of compressible fluid flows (to appear). Zbl 07349496Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana; She, Bangwei 1 2021 A finite volume scheme for the Euler system inspired by the two velocities approach. Zbl 1435.65137Feireisl, Eduard; Lukáčová-Medvid’Ová, Mária; Mizerová, Hana 6 2020 \(\mathscr{K}\)-convergence as a new tool in numerical analysis. Zbl 1465.65045Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana 5 2020 A novel full-Euler low Mach number IMEX splitting. Zbl 07418366Zeifang, Jonas; Schütz, Jochen; Kaiser, Klaus; Beck, Andrea; Lukáčová-Medvid’ová, Maria; Noelle, Sebastian 4 2020 Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions. Zbl 1447.65050Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana 2 2020 Convergence of a finite volume scheme for the compressible Navier-Stokes system. Zbl 1447.35243Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana; She, Bangwei 5 2019 An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur 4 2019 Energy-stable linear schemes for polymer-solvent phase field models. Zbl 1442.65275Strasser, Paul J.; Tierra, Giordano; Dünweg, Burkhard; Lukáčová-Medvid’ová, Mária 3 2019 Convergence of a mixed finite element-finite volume scheme for the isentropic Navier-Stokes system via dissipative measure-valued solutions. Zbl 1402.65096Feireisl, Eduard; Lukáčová-Medvid’ová, Mária 14 2018 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 12 2018 Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model. Zbl 1406.35429Giesselmann, Jan; Kolbe, Niklas; Lukáčová-Medviďová, Mária; Sfakianakis, Nikolaos 7 2018 Asymptotic preserving error estimates for numerical solutions of compressible Navier-Stokes equations in the low Mach number regime. Zbl 1397.35171Feireisl, Eduard; Lukáčová-Medviďová, Mária; Nečasová, Šárka; Novotný, Antonín; She, Bangwei 5 2018 Existence of global weak solutions to the kinetic Peterlin model. Zbl 1405.35219Gwiazda, P.; Lukáčová-Medvidová, M.; Mizerová, H.; Świerczewska-Gwiazda, A. 1 2018 Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation. Zbl 1375.76023Bispen, Georgij; Lukáčová-Medvid’ová, Mária; Yelash, Leonid 23 2017 A multiscale approach to the migration of cancer stem cells: mathematical modelling and simulations. Zbl 1373.92068Sfakianakis, Nikolaos; Kolbe, Niklas; Hellmann, Nadja; Lukáčová-Medvid’ová, Mária 13 2017 Global existence result for the generalized Peterlin viscoelastic model. Zbl 1368.76007Lukáčová-Medviďová, Mária; Mizerová, Hana; Nečasová, Šárka; Renardy, Michael 7 2017 Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. I: A nonlinear scheme. Zbl 1421.76159Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa 5 2017 Numerical analysis of the Oseen-type peterlin viscoelastic model by the stabilized Lagrange-Galerkin method. II: A linear scheme. Zbl 1421.76160Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Notsu, Hirofumi; Tabata, Masahisa 4 2017 IMEX finite volume methods for cloud simulation. Zbl 1365.76163Lukáčová-Medvid’ová, M.; Rosemeier, J.; Spichtinger, P.; Wiebe, B. 1 2017 On the existence of weak solution to the coupled fluid-structure interaction problem for non-Newtonian shear-dependent fluid. Zbl 1334.76032Hundertmark-Zaušková, Anna; Lukáčová-Medviďová, Mária; Nečasová, Šárka 7 2016 A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: the urokinase model. Zbl 1410.92049Kolbe, Niklas; Kat’uchová, Jana; Sfakianakis, Nikolaos; Hellmann, Nadja; Lukáčová-Medvid’ová, Mária 4 2016 Error analysis of finite element and finite volume methods for some viscoelastic fluids. Zbl 1338.76059Lukáčová-Medvid’ová, Mária; Mizerová, Hana; She, Bangwei; Stebel, Jan 3 2016 On the weak solution of the fluid-structure interaction problem for shear-dependent fluids. Zbl 1336.35294Hundertmark, Anna; Lukáčová-Medviďová, Mária; Nečasová, Šárka 3 2016 Global existence and uniqueness result for the diffusive Peterlin viscoelastic model. Zbl 1320.35343Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Nečasová, Šárka 5 2015 A weakly asymptotic preserving low Mach number scheme for the Euler equations of gas dynamics. Zbl 1321.76053Noelle, S.; Bispen, G.; Arun, K. R.; Lukáčová-Medviďová, M.; Munz, C.-D. 44 2014 IMEX large time step finite volume methods for low Froude number shallow water flows. Zbl 1373.76117Bispen, Georgij; Arun, K. R.; Lukáčová-Medvid’ová, Mária; Noelle, Sebastian 26 2014 Numerical study of two-species chemotaxis models. Zbl 1282.92011Kurganov, Alexander; Lukáčová-Medviďová, Mária 21 2014 Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. Zbl 1349.76292Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V. 9 2014 Mathematical and numerical analysis of some FSI problems. Zbl 1365.74066Grandmont, Céline; Lukáčová-Medvid’ová, Mária; Nečasová, Šárka 8 2014 Kinematic splitting algorithm for fluid-structure interaction in hemodynamics. Zbl 1286.76176Lukáčová-Medvid’ová, M.; Rusnáková, G.; Hundertmark-Zaušková, A. 20 2013 Well-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry fronts. Zbl 1291.76214Dudzinski, M.; Lukáčová-Medvid’ová, M. 8 2013 A second order accurate kinetic relaxation scheme for inviscid compressible flows. Zbl 1381.76275Arun, K. R.; Lukáčová-Medvidová, M.; Prasad, Phoolan; Raghurama Rao, S. V. 1 2013 A multiscale approach to liquid flows in pipes. I: The single pipe. Zbl 1286.76054Corli, Andrea; Gasser, Ingenuin; Lukáčová-Medvid’ová, Mária; Roggensack, Arne; Teschke, Ulf 3 2012 Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria 39 2011 Large time step finite volume evolution Galerkin methods. Zbl 1221.65232Hundertmark-Zaušková, A.; Lukáčová-Medvid’ová, M.; Prill, F. 4 2011 An application of 3-D kinematical conservation laws: propagation of a 3-D wavefront. Zbl 1217.35115Arun, K. R.; Lukáčová-Medvid’ová, M.; Prasad, Phoolan; Rao, S. V. Raghurama 3 2010 Numerical study of shear-dependent non-Newtonian fluids in compliant vessels. Zbl 1201.76322Hundertmark-Zaušková, A.; Lukáčová-Medvid’ová, M. 3 2010 Finite volume evolution Galerkin methods – A survey. Zbl 1203.65161Lukáčová-Medvid’ová, M.; Morton, K. W. 2 2010 Smoothed aggregation multigrid for the discontinuous Galerkin method. Zbl 1200.35059Prill, Florian; Lukáčová-Medvidová, Maria; Hartmann, Ralf 15 2009 Finite volume evolution Galerkin method for hyperbolic conservation laws with spatially varying flux functions. Zbl 1165.65390Arun, K. R.; Kraft, M.; Lukáčová-Medvid’ová, M.; Prasad, Phoolan 9 2009 On the entropy stability of Roe-type finite volume methods. Zbl 1186.65121Lukáčová-Medvid’ová, Mária; Tadmor, Eitan 6 2009 Well-balanced finite volume evolution Galerkin methods for the 2D shallow water equations on adaptive grids. Zbl 1170.76036Bollermann, A.; Lukáčová-Medviďová, M.; Noelle, S. 2 2009 Efficient preconditioning for the discontinuous Galerkin finite element method by low-order elements. Zbl 1171.65078Hartmann, R.; Lukáčová-Medvid’ová, M.; Prill, F. 2 2009 Numerical modelling of shear-thinning non-Newtonian flows in compliant vessels. Zbl 1151.76020Lukáčová-Medviďová, M.; Zaušková, A. 11 2008 Numerical aspects of parabolic regularization for resonant hyperbolic balance laws. Zbl 1138.65073Kraft, M.; Lukáčová-Medvid’ová, M. 1 2008 On the comparison of evolution Galerkin and discontinuous Galerkin schemes. Zbl 1157.65446Baumbach, K.; Lukáčová-Medviďová, M. 1 2008 Well-balanced finite volume evolution Galerkin methods for the shallow water equations. Zbl 1123.76041Lukáčová-Medvid’ová, M.; Noelle, S.; Kraft, M. 33 2007 Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. Zbl 1119.65093Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 4 2007 On the stability of evolution Galerkin schemes applied to a two-dimensional wave equation system. Zbl 1122.65079Lukàčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 6 2006 Comparison study of some finite volume and finite element methods for the shallow water equations with bottom topography and friction terms. Zbl 1320.76083Lukáčová-Medvid’ová, M.; Teschke, U. 4 2006 Finite volume schemes for multi-dimensional hyperbolic systems based on the use of bicharacteristics. Zbl 1164.76358Lukáčová-Medvid’ová, Mária; Saibertová-Zatočilová, Jitka 4 2006 An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions. Zbl 1087.76065Kröger, Tim; Lukáčová-Medvid’ová, Mária 11 2005 Well-balanced finite volume evolution Galerkin methods for the shallow water equations with source terms. Zbl 1064.76073Lukáčová-Medvid’ová, M.; Vlk, Z. 3 2005 Finite volume evolution Galerkin methods for hyperbolic systems. Zbl 1078.65562Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G. 21 2004 On evolution Galerkin methods for the Maxwell and the linearized Euler equations. Zbl 1099.65088Lukáčová-Medvidová, Mária; Saibertová, Jitka; Warnecke, Gerald; Zahaykah, Yousef 5 2004 On the boundary conditions for EG methods applied to the two-dimensional wave equation system. Zbl 1052.65095Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 3 2004 Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system. Zbl 1032.65112Li, Jiequan; Lukáčová-Medviďová, Mária; Warnecke, Gerald 5 2003 Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. Zbl 1057.65067Lukáčová-Medviďová, M.; Warnecke, G.; Zahaykah, Y. 3 2003 Genuinely multidimensional evolution Galerkin schemes for the shallow water equations. Zbl 1283.76042Lukáčová-Medvid’ová, M.; Saibertová, J. 2 2003 Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. Zbl 1090.65536Lukáčová-Medvid’ová, M.; Saibertová, J.; Warnecke, G. 17 2002 Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Zbl 1023.76026Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 13 2002 Multidimensional bicharacteristic finite volume methods for the shallow water equations. Zbl 1177.76238Lukáčová-Medvid’ová, Mária 1 2002 Evolution Galerkin methods for hyperbolic systems in two space dimensions. Zbl 0951.35076Lukácová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 26 2000 Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0959.65104Lukáčová-Medvid’ová, M.; Warnecke, Gerald 6 2000 High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws. Zbl 0971.65090Lukáčová-Medviďová, M.; Morton, K. W.; Warnecke, Gerald 2 2000 Bipolar barotropic non-Newtonian compressible fluids. Zbl 0992.76010Matušů-Nečasová, Šárka; Medviďová-Lukáčová, Mária 1 2000 Error estimates for a combined finite volume-finite element method for nonlinear convection-diffusion problems. Zbl 0960.65098Feistauer, Miloslav; Felcman, Jirí; Lukácová-Medvid’ová, Mária; Warnecke, Gerald 28 1999 Finite volume evolution Galerkin methods for multidimensional hyperbolic problems. Zbl 1052.65529Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 2 1999 Bipolar isothermal non-Newtonian compressible fluids. Zbl 0951.76004Matušů-Nečasová, Š.; Medvid’ová-Lukáčová, M. 6 1998 Evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0968.65070Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 3 1998 On the convergence of a combined finite volume-finite element method for nonlinear convection-diffusion problems. Zbl 0869.65057Feistauer, Miloslav; Felcman, Jiří; Lukáčová-Medvid’ová, Mária 32 1997 Combined finite element–finite volume method (convergence analysis). Zbl 0938.65111Lukáčová-Medviďová, Mária 2 1997 Combined finite element-finite volume solution of compressible flow. Zbl 0852.76040Feistauer, Miloslav; Felcman, Jiří; Lukáčová-Medvid’ová, Mária 24 1995 Bipolar barotropic non-Newtonian fluid. Zbl 0809.76001Matušů-Nečasová, Šárka; Medviďová, Mária 5 1994 all cited Publications top 5 cited Publications all top 5 Cited by 627 Authors 39 Lukáčová-Medvid’ová, Mária 22 Kurganov, Alexander 11 Chertock, Alina E. 11 Schütz, Jochen 10 Bukač, Martina 10 Feireisl, Eduard 10 Feistauer, Miloslav 9 Čanić, Sunčica 9 Noelle, Sebastian 8 Balsara, Dinshaw S. 8 She, Bangwei 8 Warnecke, Gerald G. 7 Dumbser, Michael 7 Sfakianakis, Nikolaos I. 6 Dolejší, Vít 6 Fernández, Miguel Ángel 6 Kaiser, Klaus Hermann 6 Mizerová, Hana 6 Muha, Boris 6 Parés Madroñal, Carlos 6 Sun, Pengtao 5 Arun, K. R. 5 Berthon, Christophe 5 Boscheri, Walter 5 Castro, Manuel J. 5 Eymard, Robert 5 Felcman, Jiří 5 Kolbe, Niklas 5 Puppo, Gabriella 5 Wu, Tong 4 Barsukow, Wasilij 4 Dai, Feng 4 Deuring, Paul 4 Duran, Arnaud 4 Gallouët, Thierry 4 Hilhorst, Danielle 4 Hundertmark-Zaušková, Anna 4 Iollo, Angelo 4 Liu, Xin 4 Liu, Yongle 4 Málek, Josef 4 Michel-Dansac, Victor 4 Novotný, Antonín 4 Saad, Mazen 4 Tavelli, Maurizio 4 Vidrascu, Marina 4 Xing, Yulong 3 Abbate, Emanuela 3 Bulíček, Miroslav 3 Chaudhuri, Nilasis 3 Daude, Frédéric 3 Dimarco, Giacomo 3 Dong, Jian 3 Epshteyn, Yekaterina 3 Foucher, Françoise 3 Galon, Pascal 3 Gao, Fuzheng 3 Gassner, Gregor J. 3 Giraldo, Francis X. 3 Hérard, Jean-Marc 3 Herbin, Raphaèle 3 Iampietro, David 3 Klingenberg, Christian 3 Kröner, Dietmar 3 Landajuela, Mikel 3 Lee, Hyesuk Kwon 3 Linke, Alexander 3 Maity, Debayan 3 Marche, Fabien 3 Mildner, Marcus 3 Morton, Keith William 3 Mullaert, Jimmy 3 Qamar, Shamsul 3 Ren, Yuxin 3 Ruiz-Baier, Ricardo 3 Samantaray, Saurav 3 Trenchea, Catalin 3 Vila, Jean-Paul 3 Vohralík, Martin 3 Winters, Andrew R. 3 Xu, Xiaojing 3 Zahaykah, Yousef 3 Zeifang, Jonas 3 Zeitlin, Vladimir 2 Abgrall, Rémi 2 Audit, Edouard 2 Audusse, Emmanuel 2 Beck, Andrea D. 2 Behr, Marek A. 2 Bischof, Christian H. 2 Botti, Lorenzo 2 Breit, Dominic 2 Březina, Jan 2 Bücker, H. Martin 2 Busto, Saray 2 Calgaro, Caterina 2 Carrillo de la Plata, José Antonio 2 Castro-Díaz, Manuel Jesús 2 Chaplain, Mark A. J. 2 Clain, Stéphane Louis ...and 527 more Authors all top 5 Cited in 103 Serials 59 Journal of Computational Physics 29 Journal of Scientific Computing 19 Computers and Fluids 15 Computer Methods in Applied Mechanics and Engineering 15 Journal of Computational and Applied Mathematics 12 Applied Numerical Mathematics 12 SIAM Journal on Scientific Computing 11 Computers & Mathematics with Applications 11 Applied Mathematics and Computation 11 Numerical Methods for Partial Differential Equations 10 SIAM Journal on Numerical Analysis 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 International Journal for Numerical Methods in Fluids 9 Numerische Mathematik 6 Mathematics of Computation 6 Journal of Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 5 SIAM Journal on Mathematical Analysis 5 Journal of Mathematical Fluid Mechanics 5 Communications in Computational Physics 4 Journal of Mathematical Analysis and Applications 4 Applications of Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Numerical Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Mathematics and Computers in Simulation 3 Advances in Computational Mathematics 3 Engineering Analysis with Boundary Elements 3 Computational Geosciences 3 Nonlinear Analysis. Real World Applications 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Kinetic and Related Models 2 Mathematical Biosciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 Applied Mathematics and Optimization 2 Numerical Functional Analysis and Optimization 2 Acta Mathematicae Applicatae Sinica. English Series 2 Mathematical Problems in Engineering 2 European Journal of Mechanics. B. Fluids 2 Journal of Evolution Equations 2 Archives of Computational Methods in Engineering 2 Foundations of Computational Mathematics 2 Multiscale Modeling & Simulation 2 Advances in Applied Mathematics and Mechanics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 SMAI Journal of Computational Mathematics 1 Archive for Rational Mechanics and Analysis 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Wave Motion 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Applied Mathematics. Series B (English Edition) 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 International Journal of Computational Fluid Dynamics 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 The ANZIAM Journal 1 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 Oberwolfach Reports 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Communications in Applied Mathematics and Computational Science 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Biomathematics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Journal of Theoretical Biology 1 Advances in Nonlinear Analysis 1 Journal of Applied Nonlinear Dynamics 1 Annals of PDE 1 International Journal of Applied and Computational Mathematics ...and 3 more Serials all top 5 Cited in 23 Fields 278 Fluid mechanics (76-XX) 266 Numerical analysis (65-XX) 210 Partial differential equations (35-XX) 56 Biology and other natural sciences (92-XX) 46 Mechanics of deformable solids (74-XX) 23 Geophysics (86-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Probability theory and stochastic processes (60-XX) 4 Ordinary differential equations (34-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Optics, electromagnetic theory (78-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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