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 more...less Homepage: https://www.numerik.mathematik.uni-mainz.de/prof-dr-maria-lukacova-medvidova/ External Links: MGP · Wikidata · Google Scholar · dblp · GND Documents Indexed: 102 Publications since 1994, including 1 Book 1 Contribution as Editor Co-Authors: 84 Co-Authors with 98 Joint Publications 1,900 Co-Co-Authors all top 5 Co-Authors 4 single-authored 16 Warnecke, Gerald G. 14 Mizerová, Hana 11 Feireisl, Eduard 10 Nečasová, Šárka 9 She, Bangwei 8 Morton, Keith William 8 Noelle, Sebastian 7 Arun, K. R. 5 Kurganov, Alexander 5 Zahaykah, Yousef 4 Chertock, Alina E. 4 Hundertmark-Zaušková, Anna 4 Kolbe, Niklas 4 Prasad, Phoolan 4 Prill, Florian 4 Sfakianakis, Nikolaos I. 3 Bispen, Georgij 3 Brunk, Aaron 3 Feistauer, Miloslav 3 Felcman, Jiří 3 Hartmann, Ralf 3 Saibertová, Jitka 3 Schütz, Jochen 3 Yelash, Leonid 2 Bollermann, Andreas 2 Dudzinski, Michael 2 Hellmann, Nadja 2 Kučera, Václav 2 Notsu, Hirofumi 2 Raghurama Rao, S. V. 2 Schömer, Andreas 2 Tabata, Masahisa 2 Teschke, Ulf 2 Yuan, Yuhuan 1 Abgrall, Rémi 1 Basarić, Danica 1 Baumbach, K. 1 Beck, Andrea D. 1 Carrillo de la Plata, José Antonio 1 Chu, Shaoshuai 1 Corli, Andrea 1 Degond, Pierre 1 Dimarco, Giacomo 1 Dünweg, Burkhard 1 Garavello, Mauro 1 Gasser, Ingenuin 1 Giesselmann, Jan 1 Giraldo, Francis X. 1 Giusteri, Giulio G. 1 Grandmont, Céline 1 Gwiazda, Piotr 1 Herty, Michael Matthias 1 Hundertmark, Anna 1 Kaiser, Klaus Hermann 1 Kat’uchová, Jana 1 Kröger, Tim 1 Li, Jiequan 1 Liu, Yongle 1 Munz, Claus-Dieter 1 Novotný, Antonín 1 Öffner, Philipp 1 Özcan, Şeyma Nur 1 Renardy, Michael 1 Roggensack, Arne 1 Rosemeier, J. 1 Ruhi, Ankit 1 Rusnakova, Gabriela 1 Saibertová-Zatočilová, Jitka 1 Scharpenberg, Moriz Dirk 1 Schneider, Simon 1 Spichtinger, P. 1 Stebel, Jan 1 Strasser, Paul J. 1 Świerczewska-Gwiazda, Agnieszka 1 Tadmor, Eitan 1 Tedeschi, Francesca 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 8 Journal of Computational Physics 4 Journal of Scientific Computing 4 SIAM Journal on Scientific Computing 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 International Journal for Numerical Methods in Fluids 3 Applied Mathematics and Computation 3 Numerische Mathematik 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Communications in Computational Physics 2 Computers & Mathematics with Applications 2 IMA Journal of Numerical Analysis 2 Nonlinearity 2 Mathematics of Computation 2 Commentationes Mathematicae Universitatis Carolinae 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Applications of Mathematics 2 Journal of Mathematical Fluid Mechanics 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 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 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 1 Mathematics in Engineering 1 SN Partial Differential Equations and Applications all top 5 Fields 70 Numerical analysis (65-XX) 68 Fluid mechanics (76-XX) 64 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 7 Mechanics of deformable solids (74-XX) 7 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 78 Publications have been cited 751 times in 449 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. 50 2014 Finite volume evolution Galerkin methods for the shallow water equations with dry beds. Zbl 1364.76109Bollermann, Andreas; Noelle, Sebastian; Lukáčová-Medvid’ová, Maria 45 2011 Well-balanced finite volume evolution Galerkin methods for the shallow water equations. Zbl 1123.76041Lukáčová-Medvid’ová, M.; Noelle, S.; Kraft, M. 37 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 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 30 2014 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 Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation. Zbl 1375.76023Bispen, Georgij; Lukáčová-Medvid’ová, Mária; Yelash, Leonid 27 2017 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 Numerical study of two-species chemotaxis models. Zbl 1282.92011Kurganov, Alexander; Lukáčová-Medviďová, Mária 24 2014 Finite volume evolution Galerkin methods for hyperbolic systems. Zbl 1078.65562Lukácová-Medvidová, M.; Morton, K. W.; Warnecke, G. 22 2004 Kinematic splitting algorithm for fluid-structure interaction in hemodynamics. Zbl 1286.76176Lukáčová-Medvid’ová, M.; Rusnáková, G.; Hundertmark-Zaušková, A. 22 2013 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 19 2018 Finite volume evolution Galerkin methods for nonlinear hyperbolic systems. Zbl 1090.65536Lukáčová-Medvid’ová, M.; Saibertová, J.; Warnecke, G. 17 2002 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 16 2018 Smoothed aggregation multigrid for the discontinuous Galerkin method. Zbl 1200.35059Prill, Florian; Lukáčová-Medvidová, Maria; Hartmann, Ralf 16 2009 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 15 2017 Finite volume evolution Galerkin methods for Euler equations of gas dynamics. Zbl 1023.76026Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 14 2002 A finite volume scheme for the Euler system inspired by the two velocities approach. Zbl 1435.65137Feireisl, Eduard; Lukáčová-Medvid’Ová, Mária; Mizerová, Hana 11 2020 An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions. Zbl 1087.76065Kröger, Tim; Lukáčová-Medvid’ová, Mária 11 2005 Convergence of a finite volume scheme for the compressible Navier-Stokes system. Zbl 1447.35243Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana; She, Bangwei 11 2019 Numerical modelling of shear-thinning non-Newtonian flows in compliant vessels. Zbl 1151.76020Lukáčová-Medviďová, M.; Zaušková, A. 11 2008 Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. Zbl 1349.76292Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V. 10 2014 A novel full-Euler low Mach number IMEX splitting. Zbl 07418366Zeifang, Jonas; Schütz, Jochen; Kaiser, Klaus; Beck, Andrea; Lukáčová-Medvid’ová, Maria; Noelle, Sebastian 10 2020 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. 9 2013 \(\mathscr{K}\)-convergence as a new tool in numerical analysis. Zbl 1465.65045Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana 8 2020 Global existence result for the generalized Peterlin viscoelastic model. Zbl 1368.76007Lukáčová-Medviďová, Mária; Mizerová, Hana; Nečasová, Šárka; Renardy, Michael 8 2017 Mathematical and numerical analysis of some FSI problems. Zbl 1365.74066Grandmont, Céline; Lukáčová-Medvid’ová, Mária; Nečasová, Šárka 8 2014 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 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 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 7 2016 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 7 2018 Numerical analysis of compressible fluid flows. Zbl 1493.76001Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana; She, Bangwei 7 2021 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 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 6 2017 Lax-Wendroff type second order evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0959.65104Lukáčová-Medvid’ová, M.; Warnecke, Gerald 6 2000 Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions. Zbl 1447.65050Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana 6 2020 On the entropy stability of Roe-type finite volume methods. Zbl 1186.65121Lukáčová-Medvid’ová, Mária; Tadmor, Eitan 6 2009 Global existence and uniqueness result for the diffusive Peterlin viscoelastic model. Zbl 1320.35343Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Nečasová, Šárka 6 2015 Bipolar isothermal non-Newtonian compressible fluids. Zbl 0951.76004Matušů-Nečasová, Š.; Medvid’ová-Lukáčová, M. 6 1998 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 An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions. Zbl 1407.92027Chertock, Alina; Kurganov, Alexander; Lukáčová-Medviďová, Mária; Özcan, Şeyma Nur 5 2019 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 Numerical study of shear-dependent non-Newtonian fluids in compliant vessels. Zbl 1201.76322Hundertmark-Zaušková, A.; Lukáčová-Medvid’ová, M. 5 2010 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 Finite volume evolution Galerkin (FVEG) methods for three-dimensional wave equation system. Zbl 1119.65093Lukáčová-Medvid’ová, M.; Warnecke, G.; Zahaykah, Y. 4 2007 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 Large time step finite volume evolution Galerkin methods. Zbl 1221.65232Hundertmark-Zaušková, A.; Lukáčová-Medvid’ová, M.; Prill, F. 4 2011 Finite volume evolution Galerkin methods for multidimensional hyperbolic problems. Zbl 1052.65529Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, G. 3 1999 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 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 IMEX finite volume methods for cloud simulation. Zbl 1365.76163Lukáčová-Medvid’ová, M.; Rosemeier, J.; Spichtinger, P.; Wiebe, B. 3 2017 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 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 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 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 weak solution of the fluid-structure interaction problem for shear-dependent fluids. Zbl 1336.35294Hundertmark, Anna; Lukáčová-Medviďová, Mária; Nečasová, Šárka 3 2016 Evolution Galerkin methods for multidimensional hyperbolic systems. Zbl 0968.65070Lukáčová-Medvid’ová, M.; Morton, K. W.; Warnecke, Gerald 3 1998 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 Genuinely multidimensional evolution Galerkin schemes for the shallow water equations. Zbl 1283.76042Lukáčová-Medvid’ová, M.; Saibertová, J. 2 2003 Combined finite element–finite volume method (convergence analysis). Zbl 0938.65111Lukáčová-Medviďová, Mária 2 1997 Finite volume evolution Galerkin methods – A survey. Zbl 1203.65161Lukáčová-Medvid’ová, M.; Morton, K. W. 2 2010 High-resolution finite volume evolution Galerkin schemes for multidimensional hyperbolic conservation laws. Zbl 0971.65090Lukáčová-Medviďová, M.; Morton, K. W.; Warnecke, Gerald 2 2000 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 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 Computing oscillatory solutions of the Euler system via \(\mathcal{K} \)-convergence. Zbl 1473.35421Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; She, Bangwei; Wang, Yue 2 2021 Multidimensional bicharacteristic finite volume methods for the shallow water equations. Zbl 1177.76238Lukáčová-Medvid’ová, Mária 1 2002 Existence of global weak solutions to the kinetic Peterlin model. Zbl 1405.35219Gwiazda, P.; Lukáčová-Medvidová, M.; Mizerová, H.; Świerczewska-Gwiazda, A. 1 2018 A hybrid mass transport finite element method for Keller-Segel type systems. Zbl 1457.65100Carrillo, J. A.; Kolbe, N.; Lukáčová-Medvid’ová, M. 1 2019 Bipolar barotropic non-Newtonian compressible fluids. Zbl 0992.76010Matušů-Nečasová, Šárka; Medviďová-Lukáčová, Mária 1 2000 On the comparison of evolution Galerkin and discontinuous Galerkin schemes. Zbl 1157.65446Baumbach, K.; Lukáčová-Medviďová, M. 1 2008 A characteristics based genuinely multidimensional discrete kinetic scheme for the Euler equations. Zbl 1273.65105Arun, K. R.; Lukáčová-Medvid’ová, M. 1 2013 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 Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport. Zbl 1496.76116Lukáčová-Medvid’ová, Mária; Schömer, Andreas 1 2022 Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport. Zbl 1496.76116Lukáčová-Medvid’ová, Mária; Schömer, Andreas 1 2022 Numerical analysis of compressible fluid flows. Zbl 1493.76001Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana; She, Bangwei 7 2021 Computing oscillatory solutions of the Euler system via \(\mathcal{K} \)-convergence. Zbl 1473.35421Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; She, Bangwei; Wang, Yue 2 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 11 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 10 2020 \(\mathscr{K}\)-convergence as a new tool in numerical analysis. Zbl 1465.65045Feireisl, Eduard; Lukáčová-Medviďová, Mária; Mizerová, Hana 8 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 6 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 11 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 5 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 A hybrid mass transport finite element method for Keller-Segel type systems. Zbl 1457.65100Carrillo, J. A.; Kolbe, N.; Lukáčová-Medvid’ová, M. 1 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 19 2018 Well-balanced schemes for the shallow water equations with Coriolis forces. Zbl 1448.65097Chertock, Alina; Dudzinski, Michael; Kurganov, Alexander; Lukáčová-Medvid’ová, Mária 16 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 7 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 27 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 15 2017 Global existence result for the generalized Peterlin viscoelastic model. Zbl 1368.76007Lukáčová-Medviďová, Mária; Mizerová, Hana; Nečasová, Šárka; Renardy, Michael 8 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 7 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 6 2017 IMEX finite volume methods for cloud simulation. Zbl 1365.76163Lukáčová-Medvid’ová, M.; Rosemeier, J.; Spichtinger, P.; Wiebe, B. 3 2017 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 7 2016 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 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 6 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. 50 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 30 2014 Numerical study of two-species chemotaxis models. Zbl 1282.92011Kurganov, Alexander; Lukáčová-Medviďová, Mária 24 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. 10 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. 22 2013 Well-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry fronts. Zbl 1291.76214Dudzinski, M.; Lukáčová-Medvid’ová, M. 9 2013 A characteristics based genuinely multidimensional discrete kinetic scheme for the Euler equations. Zbl 1273.65105Arun, K. R.; Lukáčová-Medvid’ová, M. 1 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 45 2011 Large time step finite volume evolution Galerkin methods. Zbl 1221.65232Hundertmark-Zaušková, A.; Lukáčová-Medvid’ová, M.; Prill, F. 4 2011 Numerical study of shear-dependent non-Newtonian fluids in compliant vessels. Zbl 1201.76322Hundertmark-Zaušková, A.; Lukáčová-Medvid’ová, M. 5 2010 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 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 16 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 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 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 Numerical modelling of shear-thinning non-Newtonian flows in compliant vessels. Zbl 1151.76020Lukáčová-Medviďová, M.; Zaušková, A. 11 2008 On the comparison of evolution Galerkin and discontinuous Galerkin schemes. Zbl 1157.65446Baumbach, K.; Lukáčová-Medviďová, M. 1 2008 Numerical aspects of parabolic regularization for resonant hyperbolic balance laws. Zbl 1138.65073Kraft, M.; Lukáčová-Medvid’ová, 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. 37 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. 22 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. 14 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. 3 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 686 Authors 45 Lukáčová-Medvid’ová, Mária 27 Kurganov, Alexander 12 Feireisl, Eduard 12 Schütz, Jochen 12 She, Bangwei 11 Chertock, Alina E. 11 Noelle, Sebastian 10 Bukač, Martina 10 Feistauer, Miloslav 10 Sfakianakis, Nikolaos I. 9 Čanić, Sunčica 9 Liu, Xin 8 Balsara, Dinshaw S. 8 Dumbser, Michael 8 Kolbe, Niklas 8 Liu, Yongle 8 Warnecke, Gerald G. 7 Parés Madroñal, Carlos 6 Castro, Manuel J. 6 Dolejší, Vít 6 Fernández, Miguel Ángel 6 Kaiser, Klaus Hermann 6 Mizerová, Hana 6 Muha, Boris 6 Sun, Pengtao 6 Wu, Tong 5 Arun, K. R. 5 Berthon, Christophe 5 Boscheri, Walter 5 Dong, Jian 5 Eymard, Robert 5 Felcman, Jiří 5 Michel-Dansac, Victor 5 Puppo, Gabriella 5 Xing, Yulong 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, Bin 4 Málek, Josef 4 Novotný, Antonín 4 Saad, Mazen 4 Tavelli, Maurizio 4 Vidrascu, Marina 4 Zeifang, Jonas 4 Zeitlin, Vladimir 3 Abbate, Emanuela 3 Bulíček, Miroslav 3 Busto, Saray 3 Carrillo de la Plata, José Antonio 3 Chaudhuri, Nilasis 3 Daude, Frédéric 3 Dimarco, Giacomo 3 Epshteyn, Yekaterina 3 Foucher, Françoise 3 Galon, Pascal 3 Gao, Fuzheng 3 Gao, Zhen 3 Gassner, Gregor J. 3 Giraldo, Francis X. 3 Hérard, Jean-Marc 3 Herbin, Raphaèle 3 Iampietro, David 3 Klingenberg, Christian 3 Klingenberg, Christian F. 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 Russo, Giovanni 3 Samantaray, Saurav 3 Trenchea, Catalin 3 Vila, Jean-Paul 3 Vohralík, Martin 3 Winters, Andrew R. 3 Xu, Xiaojing 3 Zahaykah, Yousef 2 Abgrall, Rémi 2 Audit, Edouard 2 Audusse, Emmanuel 2 Basarić, Danica 2 Beck, Andrea D. 2 Behr, Marek A. 2 Bischof, Christian H. 2 Boscarino, Sebastiano 2 Botti, Lorenzo 2 Breit, Dominic ...and 586 more Authors all top 5 Cited in 104 Serials 67 Journal of Computational Physics 34 Journal of Scientific Computing 21 Computers and Fluids 17 Journal of Computational and Applied Mathematics 16 Computer Methods in Applied Mechanics and Engineering 15 Applied Mathematics and Computation 14 Applied Numerical Mathematics 14 SIAM Journal on Scientific Computing 13 SIAM Journal on Numerical Analysis 12 Computers & Mathematics with Applications 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Numerical Methods for Partial Differential Equations 11 Journal of Mathematical Fluid Mechanics 10 Numerische Mathematik 9 International Journal for Numerical Methods in Fluids 7 Mathematics of Computation 7 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Differential Equations 5 SIAM Journal on Mathematical Analysis 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 Nonlinear Analysis. Real World Applications 4 Journal of Numerical Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Bulletin of Mathematical Biology 3 Mathematics and Computers in Simulation 3 Advances in Computational Mathematics 3 Engineering Analysis with Boundary Elements 3 Computational Geosciences 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Multiscale Modeling & Simulation 3 Kinetic and Related Models 2 Mathematical Biosciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 International Journal of Biomathematics 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 Matematicheskoe Modelirovanie 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 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 ...and 4 more Serials all top 5 Cited in 24 Fields 318 Fluid mechanics (76-XX) 299 Numerical analysis (65-XX) 239 Partial differential equations (35-XX) 64 Biology and other natural sciences (92-XX) 49 Mechanics of deformable solids (74-XX) 27 Geophysics (86-XX) 7 Probability theory and stochastic processes (60-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Ordinary differential equations (34-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 2 Difference and functional equations (39-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 Dynamical systems and ergodic theory (37-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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