Edit Profile (opens in new tab) Kuzmin, Dmitri Compute Distance To: Compute Author ID: kuzmin.dmitri Published as: Kuzmin, Dmitri; Kuzmin, D. External Links: MGP Documents Indexed: 87 Publications since 1999, including 1 Book 4 Contributions as Editor Co-Authors: 66 Co-Authors with 71 Joint Publications 1,558 Co-Co-Authors all top 5 Co-Authors 15 single-authored 24 Turek, Stefan 12 Möller, Matthias 6 De Luna, Manuel Quezada 6 Shadid, John N. 5 Hajduk, Hennes 4 Gurris, Marcel 4 Kolev, Tzanio V. 4 Mabuza, Sibusiso 4 Shashkov, Mikhail J. 4 Sokolov, Andrii 3 Bittl, Melanie 3 Mierka, Otto 3 Rupp, Andreas 3 Tomov, Vladimir Z. 2 Aizinger, Vadym 2 Becker, Roland 2 Čanić, Sunčica 2 Dobrev, Veselin A. 2 Gorb, Yuliya 2 Hysing, Shuren 2 Kees, Christopher E. 2 Kenamond, Mack 2 Korotov, Sergey 2 Lohmann, Christoph 2 Löhner, Rainald 2 Šolín, Pavel 2 Strehl, Robert 2 Svyatsky, Daniil 1 Abgrall, Rémi 1 Anderson, Robert W. G. 1 Bäcker, Jan-Phillip 1 Basting, Christopher 1 Basting, Melanie 1 Basting, Steffen 1 Boiarkine, Oleg 1 Boris, Jay P. 1 Bukač, Martina 1 Burman, Erik 1 Cotter, Colin John 1 Cyr, Eric C. 1 Davydov, Oleg V. 1 Frank, Florian 1 Fredebeul, Christoph 1 Ganesan, Sashikumaar 1 Grüll, Johanna 1 Guidoboni, Giovanna 1 Hannukainen, Antti 1 Henning, Lars 1 Horstmann, Dirk 1 Karban, Pavel 1 Ketcheson, David I. 1 Klyushnev, Nikita 1 Korous, Lukas 1 Kourounis, Drosos 1 Kruis, Jaroslav 1 Mehrmann, Volker 1 Mikelić, Andro 1 Parolini, Nicola 1 Pawlowski, Roger P. 1 Platte, Frank 1 Quezada de Luna, M. 1 Rivkind, Liudmila S. 1 Schieweck, Friedhelm 1 Slodička, Marián 1 Smolianski, Anton 1 Tobiska, Lutz 1 Tomas, Ignacio 1 Vedral, Joshua 1 Westermann, Alexander all top 5 Serials 25 Journal of Computational Physics 14 Journal of Computational and Applied Mathematics 8 Computer Methods in Applied Mechanics and Engineering 7 International Journal for Numerical Methods in Fluids 4 Computers and Fluids 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 Mathematics and Computers in Simulation 2 Journal of Numerical Mathematics 2 Scientific Computation 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Numerical Analysis 1 Journal of Scientific Computing 1 SIAM Journal on Applied Mathematics 1 Communications in Numerical Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Central European Journal of Mathematics 1 Computational Science & Engineering 1 International Journal of Computing Science and Mathematics all top 5 Fields 62 Numerical analysis (65-XX) 54 Fluid mechanics (76-XX) 24 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 1,103 times in 618 Documents Cited by ▼ Year ▼ Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, L. 162 2009 A vertex-based hierarchical slope limiter for \(p\)-adaptive discontinuous Galerkin methods. Zbl 1252.76045Kuzmin, Dmitri 78 2010 Flux correction tools for finite elements. Zbl 1028.76023Kuzmin, D.; Turek, S. 71 2002 Explicit and implicit FEM-FCT algorithms with flux linearization. Zbl 1275.76171Kuzmin, Dmitri 51 2009 Algebraic flux correction. I: Scalar conservation laws. Zbl 1094.76040Kuzmin, Dmitri; Möller, Matthias 50 2005 On the design of general-purpose flux limiters for finite element schemes. I: Scalar convection. Zbl 1189.76342Kuzmin, D. 40 2006 A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. Zbl 1163.65085Kuzmin, D.; Shashkov, M. J.; Svyatskiy, D. 38 2008 High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter. Zbl 1107.76352Kuzmin, D.; Turek, S. 36 2004 A positivity-preserving finite element method for chemotaxis problems in 3D. Zbl 1316.92015Strehl, Robert; Sokolov, Andriy; Kuzmin, Dmitri; Horstmann, Dirk; Turek, Stefan 33 2013 High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation. Zbl 1380.65245Anderson, R.; Dobrev, V.; Kolev, Tz.; Kuzmin, D.; Quezada de Luna, M.; Rieben, R.; Tomov, V. 28 2017 Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods. Zbl 1352.65355Kuzmin, Dmitri 28 2014 Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements. Zbl 1380.65279Lohmann, Christoph; Kuzmin, Dmitri; Shadid, John N.; Mabuza, Sibusiso 28 2017 A flux-corrected finite element method for chemotaxis problems. Zbl 1283.35007Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S. 24 2010 Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes. Zbl 1241.65083Kuzmin, Dmitri 23 2012 High-resolution FEM–FCT schemes for multidimensional conservation laws. Zbl 1112.76393Kuzmin, D.; Möller, M.; Turek, S. 23 2004 Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws. Zbl 1442.65263Kuzmin, Dmitri 21 2020 Failsafe flux limiting and constrained data projections for equations of gas dynamics. Zbl 1282.76161Kuzmin, Dmitri; Möller, Matthias; Shadid, John N.; Shashkov, Mikhail 21 2010 Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis. Zbl 1431.65173Kuzmin, Dmitri 13 2013 Algebraic flux correction. II: Compressible Euler equations. Zbl 1328.76042Kuzmin, Dmitri; Möller, Matthias 13 2005 Synchronized flux limiting for gas dynamics variables. Zbl 1373.76286Lohmann, Christoph; Kuzmin, Dmitri 13 2016 Multidimensional FEM-FCT schemes for arbitrary time stepping. Zbl 1055.76029Kuzmin, D.; Möller, M.; Turek, S. 13 2003 A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions. Zbl 1426.76280Kuzmin, Dmitri; Gorb, Yuliya 13 2012 Embedded discontinuous Galerkin transport schemes with localised limiters. Zbl 1349.65616Cotter, C. J.; Kuzmin, D. 12 2016 Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172Kuzmin, Dmitri; Korotov, Sergey 12 2010 Flux-corrected transport. Principles, algorithms, and applications. Papers based on the workshop ‘High-resolution schemes for convection-dominated flows: 30 years of FCT’, Dortmund, Germany, September 2003. With a foreword by Jay P. Boris. 2nd revised and extended ed. Zbl 1287.76031 11 2012 Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. Zbl 1436.65141Kuzmin, Dmitri; Quezada de Luna, Manuel 10 2020 On the design of algebraic flux correction schemes for quadratic finite elements. Zbl 1143.65092Kuzmin, Dmitri 10 2008 Flux-corrected transport. Principles, algorithms, and applications. Papers based on the workshop ’High-resolution schemes for convection-dominated flows: 30 years of FCT’. With foreword by Jay P. Boris. Zbl 1062.76003 10 2005 New directional vector limiters for discontinuous Galerkin methods. Zbl 1451.76069Hajduk, Hennes; Kuzmin, Dmitri; Aizinger, Vadym 9 2019 A parameter-free smoothness indicator for high-resolution finite element schemes. Zbl 1273.65145Kuzmin, Dmitri; Schieweck, Friedhelm 9 2013 Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation. Zbl 1441.76059Frank, Florian; Rupp, Andreas; Kuzmin, Dmitri 9 2020 Adaptive mesh refinement for high-resolution finite element schemes. Zbl 1108.65115Möller, Matthias; Kuzmin, D. 8 2006 Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws. Zbl 1506.74413Kuzmin, Dmitri; Quezada de Luna, Manuel 8 2020 Linearity-preserving monotone local projection stabilization schemes for continuous finite elements. Zbl 1439.65114Kuzmin, Dmitri; Basting, Steffen; Shadid, John N. 7 2017 Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws. Zbl 07426178Kuzmin, Dmitri; Quezada de Luna, Manuel 7 2020 Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations. Zbl 1380.65257Dobrev, V.; Kolev, Tz.; Kuzmin, D.; Rieben, R.; Tomov, V. 7 2018 Finite element simulation of compressible particle-laden gas flows. Zbl 1252.76041Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan 7 2010 On the implementation of the \(\kappa -\varepsilon \) turbulence model in incompressible flow solvers based on a finite element discretisation. Zbl 1185.76706Kuzmin, D.; Mierka, O.; Turek, S. 7 2007 Implicit FEM-FCT algorithms and discrete Newton methods for transient convection problems. Zbl 1264.76063Möller, M.; Kuzmin, D.; Kourounis, D. 7 2008 Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. Zbl 1422.76128Mabuza, Sibusiso; Shadid, John N.; Kuzmin, Dmitri 7 2018 Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Zbl 1441.65078Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Abgrall, Remi 7 2020 Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems. Zbl 1507.65186Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas 7 2022 A conservative, positivity preserving scheme for reactive solute transport problems in moving domains. Zbl 1349.65467Mabuza, Sibusiso; Kuzmin, Dmitri; Čanić, Sunčica; Bukač, Martina 6 2014 An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. Zbl 1442.65282Wu, T.; Shashkov, M.; Morgan, N.; Kuzmin, D.; Luo, H. 6 2019 Matrix-free subcell residual distribution for Bernstein finite elements: monolithic limiting. Zbl 07196645Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Tomov, Vladimir; Tomas, Ignacio; Shadid, John N. 6 2020 A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. Zbl 1436.76030Mabuza, Sibusiso; Shadid, John N.; Cyr, Eric C.; Pawlowski, Roger P.; Kuzmin, Dmitri 6 2020 A high-resolution finite element scheme for convection-dominated transport. Zbl 0948.65099Kuzmin, Dmitri 6 2000 Limiting and divergence cleaning for continuous finite element discretizations of the MHD equations. Zbl 07504704Kuzmin, Dmitri; Klyushnev, Nikita 6 2020 An optimization-based approach to enforcing mass conservation in level set methods. Zbl 1294.65067Kuzmin, Dmitri 5 2014 Finite element methods for computational fluid dynamics. A practical guide. Zbl 1317.76001Kuzmin, Dmitri; Hämäläinen, Jari 5 2015 Scale separation in fast hierarchical solvers for discontinuous Galerkin methods. Zbl 1410.65362Aizinger, Vadym; Kuzmin, Dmitri; Korous, Lukas 5 2015 Locally bound-preserving enriched Galerkin methods for the linear advection equation. Zbl 07211838Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas 5 2020 Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems. Zbl 1481.65228Kuzmin, Dmitri 5 2021 A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan 4 2019 An FCT finite element scheme for ideal MHD equations in 1D and 2D. Zbl 1415.76447Basting, Melanie; Kuzmin, Dmitri 4 2017 Analysis of a combined CG1-DG2 method for the transport equation. Zbl 1312.65183Becker, Roland; Bittl, Melanie; Kuzmin, Dmitri 4 2015 Numerical study of a high order 3D FEM-level set approach for immiscible flow simulation. Zbl 1311.76073Turek, Stefan; Mierka, Otto; Hysing, Shuren; Kuzmin, Dmitri 4 2013 Implicit finite element schemes for the stationary compressible Euler equations. Zbl 1426.76265Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan 4 2012 A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. Zbl 1218.65106Boiarkine, Oleg; Kuzmin, Dmitri; Čanić, Sunčica; Guidoboni, Giovanna; Mikelić, Andro 4 2011 Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws. Zbl 07488731Kuzmin, Dmitri; Quezada de Luna, Manuel; Ketcheson, David I.; Grüll, Johanna 4 2022 A monolithic conservative level set method with built-in redistancing. Zbl 07581572de Luna, Manuel Quezada; Kuzmin, Dmitri; Kees, Christopher E. 4 2019 The CG1-DG2 method for convection-diffusion equations in 2D. Zbl 1321.65169Bittl, Melanie; Kuzmin, Dmitri; Becker, Roland 3 2014 A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1506.65155Kuzmin, Dmitri 3 2021 A partition of unity approach to adaptivity and limiting in continuous finite element methods. Zbl 1442.65379Kuzmin, Dmitri; Quezada de Luna, Manuel; Kees, Christopher E. 3 2019 Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems. Zbl 1252.76046Kuzmin, Dmitri; Möller, Matthias 3 2010 A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey 3 2008 Novel simulation approaches for cyclic steady-state fixed-bed processes exhibiting sharp fronts and shocks. Zbl 1329.76370Platte, Frank; Kuzmin, Dmitri; Fredebeul, Christoph; Turek, Stefan 3 2005 Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics. Zbl 07500748Kenamond, Mack; Kuzmin, Dmitri; Shashkov, Mikhail 3 2021 Algebraic flux correction for finite element approximation of transport equations. Zbl 1119.65389Kuzmin, Dmitri 2 2006 Optimal control for mass conservative level set methods. Zbl 1321.49047Basting, Christopher; Kuzmin, Dmitri 2 2014 A Newton-like finite element scheme for compressible gas flows. Zbl 1431.76013Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan 2 2011 Explicit and implicit high-reolution finite element schemes based on the flux-corrected-transport algorithm. Zbl 1283.76034Kuzmin, D.; Turek, S. 2 2003 Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Zbl 1433.60079Novikov, A.; Kuzmin, D.; Ahmadi, O. 1 2020 Planar and orthotropic closures for orientation tensors in fiber suspension flow models. Zbl 06979318Kuzmin, Dmitri 1 2018 Finite element simulation of three-dimensional particulate flows using mixture models. Zbl 1321.76038Gorb, Yuliya; Mierka, Otto; Rivkind, Liudmila; Kuzmin, Dmitri 1 2014 Implicit finite element schemes for stationary compressible particle-laden gas flows. Zbl 1310.76093Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan 1 2011 Multilayer Taylor-Galerkin schemes for convection problems. Zbl 0979.76050Smolianski, A.; Kuzmin, D. 1 1999 Implicit finite element discretizations based on the flux-corrected transport algorithm. Zbl 1069.76034Möller, Matthias; Kuzmin, D.; Turek, S. 1 2005 Finite element discretization and iterative solution techniques for multiphase flows in gas-liquid reactors. Zbl 1142.76412Kuzmin, Dmitri; Turek, Stefan 1 2004 Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations. Zbl 1142.76414Möller, Matthias; Kuzmin, Dmitri; Turek, Stefan 1 2004 A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes. Zbl 07503729Kenamond, Mack; Kuzmin, Dmitri; Shashkov, Mikhail 1 2021 An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces. Zbl 07525184Kuzmin, Dmitri; Bäcker, Jan-Phillip 1 2022 Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems. Zbl 1507.65186Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas 7 2022 Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws. Zbl 07488731Kuzmin, Dmitri; Quezada de Luna, Manuel; Ketcheson, David I.; Grüll, Johanna 4 2022 An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces. Zbl 07525184Kuzmin, Dmitri; Bäcker, Jan-Phillip 1 2022 Entropy stabilization and property-preserving limiters for \(\mathbb{P}_1\) discontinuous Galerkin discretizations of scalar hyperbolic problems. Zbl 1481.65228Kuzmin, Dmitri 5 2021 A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 1506.65155Kuzmin, Dmitri 3 2021 Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics. Zbl 07500748Kenamond, Mack; Kuzmin, Dmitri; Shashkov, Mikhail 3 2021 A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes. Zbl 07503729Kenamond, Mack; Kuzmin, Dmitri; Shashkov, Mikhail 1 2021 Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws. Zbl 1442.65263Kuzmin, Dmitri 21 2020 Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. Zbl 1436.65141Kuzmin, Dmitri; Quezada de Luna, Manuel 10 2020 Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation. Zbl 1441.76059Frank, Florian; Rupp, Andreas; Kuzmin, Dmitri 9 2020 Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws. Zbl 1506.74413Kuzmin, Dmitri; Quezada de Luna, Manuel 8 2020 Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws. Zbl 07426178Kuzmin, Dmitri; Quezada de Luna, Manuel 7 2020 Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Zbl 1441.65078Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Abgrall, Remi 7 2020 Matrix-free subcell residual distribution for Bernstein finite elements: monolithic limiting. Zbl 07196645Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Tomov, Vladimir; Tomas, Ignacio; Shadid, John N. 6 2020 A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. Zbl 1436.76030Mabuza, Sibusiso; Shadid, John N.; Cyr, Eric C.; Pawlowski, Roger P.; Kuzmin, Dmitri 6 2020 Limiting and divergence cleaning for continuous finite element discretizations of the MHD equations. Zbl 07504704Kuzmin, Dmitri; Klyushnev, Nikita 6 2020 Locally bound-preserving enriched Galerkin methods for the linear advection equation. Zbl 07211838Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas 5 2020 Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Zbl 1433.60079Novikov, A.; Kuzmin, D.; Ahmadi, O. 1 2020 New directional vector limiters for discontinuous Galerkin methods. Zbl 1451.76069Hajduk, Hennes; Kuzmin, Dmitri; Aizinger, Vadym 9 2019 An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. Zbl 1442.65282Wu, T.; Shashkov, M.; Morgan, N.; Kuzmin, D.; Luo, H. 6 2019 A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan 4 2019 A monolithic conservative level set method with built-in redistancing. Zbl 07581572de Luna, Manuel Quezada; Kuzmin, Dmitri; Kees, Christopher E. 4 2019 A partition of unity approach to adaptivity and limiting in continuous finite element methods. Zbl 1442.65379Kuzmin, Dmitri; Quezada de Luna, Manuel; Kees, Christopher E. 3 2019 Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations. Zbl 1380.65257Dobrev, V.; Kolev, Tz.; Kuzmin, D.; Rieben, R.; Tomov, V. 7 2018 Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. Zbl 1422.76128Mabuza, Sibusiso; Shadid, John N.; Kuzmin, Dmitri 7 2018 Planar and orthotropic closures for orientation tensors in fiber suspension flow models. Zbl 06979318Kuzmin, Dmitri 1 2018 High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation. Zbl 1380.65245Anderson, R.; Dobrev, V.; Kolev, Tz.; Kuzmin, D.; Quezada de Luna, M.; Rieben, R.; Tomov, V. 28 2017 Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements. Zbl 1380.65279Lohmann, Christoph; Kuzmin, Dmitri; Shadid, John N.; Mabuza, Sibusiso 28 2017 Linearity-preserving monotone local projection stabilization schemes for continuous finite elements. Zbl 1439.65114Kuzmin, Dmitri; Basting, Steffen; Shadid, John N. 7 2017 An FCT finite element scheme for ideal MHD equations in 1D and 2D. Zbl 1415.76447Basting, Melanie; Kuzmin, Dmitri 4 2017 Synchronized flux limiting for gas dynamics variables. Zbl 1373.76286Lohmann, Christoph; Kuzmin, Dmitri 13 2016 Embedded discontinuous Galerkin transport schemes with localised limiters. Zbl 1349.65616Cotter, C. J.; Kuzmin, D. 12 2016 Finite element methods for computational fluid dynamics. A practical guide. Zbl 1317.76001Kuzmin, Dmitri; Hämäläinen, Jari 5 2015 Scale separation in fast hierarchical solvers for discontinuous Galerkin methods. Zbl 1410.65362Aizinger, Vadym; Kuzmin, Dmitri; Korous, Lukas 5 2015 Analysis of a combined CG1-DG2 method for the transport equation. Zbl 1312.65183Becker, Roland; Bittl, Melanie; Kuzmin, Dmitri 4 2015 Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods. Zbl 1352.65355Kuzmin, Dmitri 28 2014 A conservative, positivity preserving scheme for reactive solute transport problems in moving domains. Zbl 1349.65467Mabuza, Sibusiso; Kuzmin, Dmitri; Čanić, Sunčica; Bukač, Martina 6 2014 An optimization-based approach to enforcing mass conservation in level set methods. Zbl 1294.65067Kuzmin, Dmitri 5 2014 The CG1-DG2 method for convection-diffusion equations in 2D. Zbl 1321.65169Bittl, Melanie; Kuzmin, Dmitri; Becker, Roland 3 2014 Optimal control for mass conservative level set methods. Zbl 1321.49047Basting, Christopher; Kuzmin, Dmitri 2 2014 Finite element simulation of three-dimensional particulate flows using mixture models. Zbl 1321.76038Gorb, Yuliya; Mierka, Otto; Rivkind, Liudmila; Kuzmin, Dmitri 1 2014 A positivity-preserving finite element method for chemotaxis problems in 3D. Zbl 1316.92015Strehl, Robert; Sokolov, Andriy; Kuzmin, Dmitri; Horstmann, Dirk; Turek, Stefan 33 2013 Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis. Zbl 1431.65173Kuzmin, Dmitri 13 2013 A parameter-free smoothness indicator for high-resolution finite element schemes. Zbl 1273.65145Kuzmin, Dmitri; Schieweck, Friedhelm 9 2013 Numerical study of a high order 3D FEM-level set approach for immiscible flow simulation. Zbl 1311.76073Turek, Stefan; Mierka, Otto; Hysing, Shuren; Kuzmin, Dmitri 4 2013 Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes. Zbl 1241.65083Kuzmin, Dmitri 23 2012 A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions. Zbl 1426.76280Kuzmin, Dmitri; Gorb, Yuliya 13 2012 Flux-corrected transport. Principles, algorithms, and applications. Papers based on the workshop ‘High-resolution schemes for convection-dominated flows: 30 years of FCT’, Dortmund, Germany, September 2003. With a foreword by Jay P. Boris. 2nd revised and extended ed. Zbl 1287.76031 11 2012 Implicit finite element schemes for the stationary compressible Euler equations. Zbl 1426.76265Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan 4 2012 A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. Zbl 1218.65106Boiarkine, Oleg; Kuzmin, Dmitri; Čanić, Sunčica; Guidoboni, Giovanna; Mikelić, Andro 4 2011 A Newton-like finite element scheme for compressible gas flows. Zbl 1431.76013Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan 2 2011 Implicit finite element schemes for stationary compressible particle-laden gas flows. Zbl 1310.76093Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan 1 2011 A vertex-based hierarchical slope limiter for \(p\)-adaptive discontinuous Galerkin methods. Zbl 1252.76045Kuzmin, Dmitri 78 2010 A flux-corrected finite element method for chemotaxis problems. Zbl 1283.35007Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S. 24 2010 Failsafe flux limiting and constrained data projections for equations of gas dynamics. Zbl 1282.76161Kuzmin, Dmitri; Möller, Matthias; Shadid, John N.; Shashkov, Mikhail 21 2010 Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172Kuzmin, Dmitri; Korotov, Sergey 12 2010 Finite element simulation of compressible particle-laden gas flows. Zbl 1252.76041Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan 7 2010 Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems. Zbl 1252.76046Kuzmin, Dmitri; Möller, Matthias 3 2010 Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, L. 162 2009 Explicit and implicit FEM-FCT algorithms with flux linearization. Zbl 1275.76171Kuzmin, Dmitri 51 2009 A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. Zbl 1163.65085Kuzmin, D.; Shashkov, M. J.; Svyatskiy, D. 38 2008 On the design of algebraic flux correction schemes for quadratic finite elements. Zbl 1143.65092Kuzmin, Dmitri 10 2008 Implicit FEM-FCT algorithms and discrete Newton methods for transient convection problems. Zbl 1264.76063Möller, M.; Kuzmin, D.; Kourounis, D. 7 2008 A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey 3 2008 On the implementation of the \(\kappa -\varepsilon \) turbulence model in incompressible flow solvers based on a finite element discretisation. Zbl 1185.76706Kuzmin, D.; Mierka, O.; Turek, S. 7 2007 On the design of general-purpose flux limiters for finite element schemes. I: Scalar convection. Zbl 1189.76342Kuzmin, D. 40 2006 Adaptive mesh refinement for high-resolution finite element schemes. Zbl 1108.65115Möller, Matthias; Kuzmin, D. 8 2006 Algebraic flux correction for finite element approximation of transport equations. Zbl 1119.65389Kuzmin, Dmitri 2 2006 Algebraic flux correction. I: Scalar conservation laws. Zbl 1094.76040Kuzmin, Dmitri; Möller, Matthias 50 2005 Algebraic flux correction. II: Compressible Euler equations. Zbl 1328.76042Kuzmin, Dmitri; Möller, Matthias 13 2005 Flux-corrected transport. Principles, algorithms, and applications. Papers based on the workshop ’High-resolution schemes for convection-dominated flows: 30 years of FCT’. With foreword by Jay P. Boris. Zbl 1062.76003 10 2005 Novel simulation approaches for cyclic steady-state fixed-bed processes exhibiting sharp fronts and shocks. Zbl 1329.76370Platte, Frank; Kuzmin, Dmitri; Fredebeul, Christoph; Turek, Stefan 3 2005 Implicit finite element discretizations based on the flux-corrected transport algorithm. Zbl 1069.76034Möller, Matthias; Kuzmin, D.; Turek, S. 1 2005 High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter. Zbl 1107.76352Kuzmin, D.; Turek, S. 36 2004 High-resolution FEM–FCT schemes for multidimensional conservation laws. Zbl 1112.76393Kuzmin, D.; Möller, M.; Turek, S. 23 2004 Finite element discretization and iterative solution techniques for multiphase flows in gas-liquid reactors. Zbl 1142.76412Kuzmin, Dmitri; Turek, Stefan 1 2004 Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations. Zbl 1142.76414Möller, Matthias; Kuzmin, Dmitri; Turek, Stefan 1 2004 Multidimensional FEM-FCT schemes for arbitrary time stepping. Zbl 1055.76029Kuzmin, D.; Möller, M.; Turek, S. 13 2003 Explicit and implicit high-reolution finite element schemes based on the flux-corrected-transport algorithm. Zbl 1283.76034Kuzmin, D.; Turek, S. 2 2003 Flux correction tools for finite elements. Zbl 1028.76023Kuzmin, D.; Turek, S. 71 2002 A high-resolution finite element scheme for convection-dominated transport. Zbl 0948.65099Kuzmin, Dmitri 6 2000 Multilayer Taylor-Galerkin schemes for convection problems. Zbl 0979.76050Smolianski, A.; Kuzmin, D. 1 1999 all cited Publications top 5 cited Publications all top 5 Cited by 1,121 Authors 56 Kuzmin, Dmitri 21 Turek, Stefan 15 John, Volker 14 Abgrall, Rémi 13 Aizinger, Vadym 11 Möller, Matthias 9 Knobloch, Petr 9 Rupp, Andreas 9 Shadid, John N. 9 Yuan, Guangwei 8 Dumbser, Michael 8 Hajduk, Hennes 8 Kahle, Christian 8 Koleva, Miglena Nikolaeva 8 Shashkov, Mikhail J. 8 Vulkov, Lubin G. 7 De Luna, Manuel Quezada 7 Frank, Florian 7 Garcke, Harald 7 Kolev, Tzanio V. 7 Mabuza, Sibusiso 7 Tomov, Vladimir Z. 6 Barrenechea, Gabriel R. 6 Guermond, Jean-Luc 6 Korotov, Sergey 6 Lipnikov, Konstantin N. 6 Öffner, Philipp 6 Reuter, Balthasar 6 Rivière, Beatrice M. 5 Badia, Santiago 5 Burman, Erik 5 Dobrev, Veselin A. 5 Hinze, Michael 5 Knabner, Peter 5 Lohmann, Christoph 5 Loubère, Raphaël 5 Morgan, Nathaniel R. 5 Nazarov, Murtazo 5 Nürnberg, Robert 5 Torlo, Davide 5 Vilar, François 5 Wick, Thomas 4 Aoki, Takayuki 4 Ardekani, Arezoo M. 4 Benzakour Amine, M. 4 Bonilla, Jesús 4 Feng, Xinlong 4 Ganesan, Sashikumaar 4 Hintermüller, Michael 4 Huang, Weizhang 4 Huang, Ziyang 4 Keil, Tobias 4 Kurganov, Alexander 4 Lin, Guang 4 Popov, Boyan 4 Rieben, Robert N. 4 Sokolov, Andrii 4 Svyatsky, Daniil 4 Xiao, Xufeng 4 Zhang, Fan 3 Akhmouch, M. 3 Bacigaluppi, Paola 3 Barrett, John William 3 Basting, Steffen 3 Behr, Marek A. 3 Bittl, Melanie 3 Boscheri, Walter 3 Brandt, Luca 3 Caltagirone, Jean-Paul 3 Čanić, Sunčica 3 Chen, Huangxin 3 Chertock, Alina E. 3 Cifani, Paolo 3 Ekaterinaris, John A. 3 Epshteyn, Yekaterina 3 Fu, Guosheng 3 Gurris, Marcel 3 Hachem, Elie 3 Hysing, Shuren 3 Kees, Christopher E. 3 Kubatko, Ethan J. 3 Kuchařík, Milan 3 Laadhari, Aymen 3 Li, Shaofan 3 Li, Xianping 3 Luo, Hong 3 Lyra, Paulo Roberto Maciel 3 Macías-Díaz, Jorge Eduardo 3 Maire, Pierre-Henri 3 Manzini, Gianmarco 3 Moshkalev, Stanislav A. 3 Oñate Ibáñez de Navarra, Eugenio 3 Pandare, Aditya K. 3 Panourgias, Konstantinos T. 3 Patino-Narino, Edgar Andres 3 Qiu, Jianxian 3 Safi, Mohammad Amin 3 Soulaimani, Azzeddine 3 Sun, Shuyu 3 Thiele, Christopher ...and 1,021 more Authors all top 5 Cited in 88 Serials 175 Journal of Computational Physics 58 Computer Methods in Applied Mechanics and Engineering 56 Computers and Fluids 41 Computers & Mathematics with Applications 29 Journal of Computational and Applied Mathematics 25 Journal of Scientific Computing 17 International Journal for Numerical Methods in Fluids 15 SIAM Journal on Scientific Computing 13 Applied Numerical Mathematics 11 Communications in Computational Physics 10 Applied Mathematics and Computation 10 Engineering Analysis with Boundary Elements 7 Computational Geosciences 6 European Journal of Mechanics. 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(English Edition) 1 Journal of Computational and Theoretical Transport 1 Mathematics in Applied Sciences and Engineering all top 5 Cited in 25 Fields 435 Numerical analysis (65-XX) 384 Fluid mechanics (76-XX) 180 Partial differential equations (35-XX) 50 Biology and other natural sciences (92-XX) 28 Mechanics of deformable solids (74-XX) 20 Statistical mechanics, structure of matter (82-XX) 17 Geophysics (86-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 7 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Computer science (68-XX) 4 Approximations and expansions (41-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Citations by Year