## Kuzmin, Dmitri

Compute Distance To:
 Author ID: kuzmin.dmitri Published as: Kuzmin, Dmitri; Kuzmin, D. External Links: MGP
 Documents Indexed: 85 Publications since 1999, including 1 Book 4 Contributions as Editor Co-Authors: 65 Co-Authors with 69 Joint Publications 1,489 Co-Co-Authors
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### Co-Authors

 15 single-authored 24 Turek, Stefan 12 Möller, Matthias 6 Shadid, John N. 5 De Luna, Manuel Quezada 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 Kenamond, Mack 2 Korotov, Sergey 2 Lohmann, Christoph 2 Löhner, Rainald 2 Šolín, Pavel 2 Strehl, Robert 2 Svyatskiy, 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 Kees, Christopher E. 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 Westermann, Alexander
all top 5

### Serials

 23 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

 60 Numerical analysis (65-XX) 54 Fluid mechanics (76-XX) 21 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 Classical thermodynamics, heat transfer (80-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

74 Publications have been cited 942 times in 528 Documents Cited by Year
Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276
Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, L.
2009
A vertex-based hierarchical slope limiter for $$p$$-adaptive discontinuous Galerkin methods. Zbl 1252.76045
Kuzmin, Dmitri
2010
Flux correction tools for finite elements. Zbl 1028.76023
Kuzmin, D.; Turek, S.
2002
Algebraic flux correction. I: Scalar conservation laws. Zbl 1094.76040
Kuzmin, Dmitri; Möller, Matthias
2005
Explicit and implicit FEM-FCT algorithms with flux linearization. Zbl 1275.76171
Kuzmin, Dmitri
2009
On the design of general-purpose flux limiters for finite element schemes. I: Scalar convection. Zbl 1189.76342
Kuzmin, D.
2006
A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. Zbl 1163.65085
Kuzmin, D.; Shashkov, M. J.; Svyatskiy, D.
2008
High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter. Zbl 1107.76352
Kuzmin, D.; Turek, S.
2004
Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods. Zbl 1352.65355
Kuzmin, Dmitri
2014
A positivity-preserving finite element method for chemotaxis problems in 3D. Zbl 1316.92015
Strehl, Robert; Sokolov, Andriy; Kuzmin, Dmitri; Horstmann, Dirk; Turek, Stefan
2013
High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation. Zbl 1380.65245
Anderson, R.; Dobrev, V.; Kolev, Tz.; Kuzmin, D.; Quezada de Luna, M.; Rieben, R.; Tomov, V.
2017
High-resolution FEM–FCT schemes for multidimensional conservation laws. Zbl 1112.76393
Kuzmin, D.; Möller, M.; Turek, S.
2004
Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements. Zbl 1380.65279
Lohmann, Christoph; Kuzmin, Dmitri; Shadid, John N.; Mabuza, Sibusiso
2017
A flux-corrected finite element method for chemotaxis problems. Zbl 1283.35007
Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S.
2010
Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes. Zbl 1241.65083
Kuzmin, Dmitri
2012
Failsafe flux limiting and constrained data projections for equations of gas dynamics. Zbl 1282.76161
Kuzmin, Dmitri; Möller, Matthias; Shadid, John N.; Shashkov, Mikhail
2010
Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws. Zbl 1442.65263
Kuzmin, Dmitri
2020
Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis. Zbl 1431.65173
Kuzmin, Dmitri
2013
A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions. Zbl 1426.76280
Kuzmin, Dmitri; Gorb, Yuliya
2012
Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172
Kuzmin, Dmitri; Korotov, Sergey
2010
Multidimensional FEM-FCT schemes for arbitrary time stepping. Zbl 1055.76029
Kuzmin, D.; Möller, M.; Turek, S.
2003
Synchronized flux limiting for gas dynamics variables. Zbl 1373.76286
Lohmann, Christoph; Kuzmin, Dmitri
2016
Embedded discontinuous Galerkin transport schemes with localised limiters. Zbl 1349.65616
Cotter, C. J.; Kuzmin, D.
2016
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
2012
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
2005
Algebraic flux correction. II: Compressible Euler equations. Zbl 1328.76042
Kuzmin, Dmitri; Möller, Matthias
2005
On the design of algebraic flux correction schemes for quadratic finite elements. Zbl 1143.65092
Kuzmin, Dmitri
2008
A parameter-free smoothness indicator for high-resolution finite element schemes. Zbl 1273.65145
Kuzmin, Dmitri; Schieweck, Friedhelm
2013
Adaptive mesh refinement for high-resolution finite element schemes. Zbl 1108.65115
Möller, Matthias; Kuzmin, D.
2006
Finite element simulation of compressible particle-laden gas flows. Zbl 1252.76041
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2010
Implicit FEM-FCT algorithms and discrete Newton methods for transient convection problems. Zbl 1264.76063
Möller, M.; Kuzmin, D.; Kourounis, D.
2008
Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation. Zbl 1441.76059
Frank, Florian; Rupp, Andreas; Kuzmin, Dmitri
2020
New directional vector limiters for discontinuous Galerkin methods. Zbl 1451.76069
Hajduk, Hennes; Kuzmin, Dmitri; Aizinger, Vadym
2019
Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. Zbl 1436.65141
Kuzmin, Dmitri; Quezada de Luna, Manuel
2020
On the implementation of the $$\kappa -\varepsilon$$ turbulence model in incompressible flow solvers based on a finite element discretisation. Zbl 1185.76706
Kuzmin, D.; Mierka, O.; Turek, S.
2007
A conservative, positivity preserving scheme for reactive solute transport problems in moving domains. Zbl 1349.65467
Mabuza, Sibusiso; Kuzmin, Dmitri; Čanić, Sunčica; Bukač, Martina
2014
A high-resolution finite element scheme for convection-dominated transport. Zbl 0948.65099
Kuzmin, Dmitri
2000
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Zbl 1441.65078
Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Abgrall, Remi
2020
Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. Zbl 1422.76128
Mabuza, Sibusiso; Shadid, John N.; Kuzmin, Dmitri
2018
Finite element methods for computational fluid dynamics. A practical guide. Zbl 1317.76001
Kuzmin, Dmitri; Hämäläinen, Jari
2015
Linearity-preserving monotone local projection stabilization schemes for continuous finite elements. Zbl 1439.65114
Kuzmin, Dmitri; Basting, Steffen; Shadid, John N.
2017
Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations. Zbl 1380.65257
Dobrev, V.; Kolev, Tz.; Kuzmin, D.; Rieben, R.; Tomov, V.
2018
An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. Zbl 1442.65282
Wu, T.; Shashkov, M.; Morgan, N.; Kuzmin, D.; Luo, H.
2019
Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws. Zbl 07337866
Kuzmin, Dmitri; Quezada de Luna, Manuel
2020
Analysis of a combined CG1-DG2 method for the transport equation. Zbl 1312.65183
Becker, Roland; Bittl, Melanie; Kuzmin, Dmitri
2015
A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. Zbl 1218.65106
Boiarkine, Oleg; Kuzmin, Dmitri; Čanić, Sunčica; Guidoboni, Giovanna; Mikelić, Andro
2011
Numerical study of a high order 3D FEM-level set approach for immiscible flow simulation. Zbl 1311.76073
Turek, Stefan; Mierka, Otto; Hysing, Shuren; Kuzmin, Dmitri
2013
An optimization-based approach to enforcing mass conservation in level set methods. Zbl 1294.65067
Kuzmin, Dmitri
2014
Locally bound-preserving enriched Galerkin methods for the linear advection equation. Zbl 07211838
Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas
2020
Scale separation in fast hierarchical solvers for discontinuous Galerkin methods. Zbl 1410.65362
Aizinger, Vadym; Kuzmin, Dmitri; Korous, Lukas
2015
Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws. Zbl 07426178
Kuzmin, Dmitri; Quezada de Luna, Manuel
2020
A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086
Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey
2008
Implicit finite element schemes for the stationary compressible Euler equations. Zbl 1426.76265
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2012
The CG1-DG2 method for convection-diffusion equations in 2D. Zbl 1321.65169
Bittl, Melanie; Kuzmin, Dmitri; Becker, Roland
2014
Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems. Zbl 1252.76046
Kuzmin, Dmitri; Möller, Matthias
2010
Novel simulation approaches for cyclic steady-state fixed-bed processes exhibiting sharp fronts and shocks. Zbl 1329.76370
Platte, Frank; Kuzmin, Dmitri; Fredebeul, Christoph; Turek, Stefan
2005
Matrix-free subcell residual distribution for Bernstein finite elements: monolithic limiting. Zbl 07196645
Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Tomov, Vladimir; Tomas, Ignacio; Shadid, John N.
2020
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030
Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan
2019
A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. Zbl 1436.76030
Mabuza, Sibusiso; Shadid, John N.; Cyr, Eric C.; Pawlowski, Roger P.; Kuzmin, Dmitri
2020
A partition of unity approach to adaptivity and limiting in continuous finite element methods. Zbl 1442.65379
Kuzmin, Dmitri; Quezada de Luna, Manuel; Kees, Christopher E.
2019
Algebraic flux correction for finite element approximation of transport equations. Zbl 1119.65389
Kuzmin, Dmitri
2006
A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 07337822
Kuzmin, Dmitri
2021
Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Zbl 1433.60079
Novikov, A.; Kuzmin, D.; Ahmadi, O.
2020
Optimal control for mass conservative level set methods. Zbl 1321.49047
Basting, Christopher; Kuzmin, Dmitri
2014
Finite element simulation of three-dimensional particulate flows using mixture models. Zbl 1321.76038
Gorb, Yuliya; Mierka, Otto; Rivkind, Liudmila; Kuzmin, Dmitri
2014
Explicit and implicit high-reolution finite element schemes based on the flux-corrected-transport algorithm. Zbl 1283.76034
Kuzmin, D.; Turek, S.
2003
A Newton-like finite element scheme for compressible gas flows. Zbl 1431.76013
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2011
Implicit finite element discretizations based on the flux-corrected transport algorithm. Zbl 1069.76034
Möller, Matthias; Kuzmin, D.; Turek, S.
2005
Finite element discretization and iterative solution techniques for multiphase flows in gas-liquid reactors. Zbl 1142.76412
Kuzmin, Dmitri; Turek, Stefan
2004
Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations. Zbl 1142.76414
Möller, Matthias; Kuzmin, Dmitri; Turek, Stefan
2004
Multilayer Taylor-Galerkin schemes for convection problems. Zbl 0979.76050
Smolianski, A.; Kuzmin, D.
1999
An FCT finite element scheme for ideal MHD equations in 1D and 2D. Zbl 1415.76447
Basting, Melanie; Kuzmin, Dmitri
2017
Entropy stabilization and property-preserving limiters for $$\mathbb{P}_1$$ discontinuous Galerkin discretizations of scalar hyperbolic problems. Zbl 1481.65228
Kuzmin, Dmitri
2021
Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems. Zbl 07464528
Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas
2022
Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems. Zbl 07464528
Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas
2022
A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws. Zbl 07337822
Kuzmin, Dmitri
2021
Entropy stabilization and property-preserving limiters for $$\mathbb{P}_1$$ discontinuous Galerkin discretizations of scalar hyperbolic problems. Zbl 1481.65228
Kuzmin, Dmitri
2021
Monolithic convex limiting for continuous finite element discretizations of hyperbolic conservation laws. Zbl 1442.65263
Kuzmin, Dmitri
2020
Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn-Hilliard equation. Zbl 1441.76059
Frank, Florian; Rupp, Andreas; Kuzmin, Dmitri
2020
Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. Zbl 1436.65141
Kuzmin, Dmitri; Quezada de Luna, Manuel
2020
Matrix-free subcell residual distribution for Bernstein finite element discretizations of linear advection equations. Zbl 1441.65078
Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Abgrall, Remi
2020
Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws. Zbl 07337866
Kuzmin, Dmitri; Quezada de Luna, Manuel
2020
Locally bound-preserving enriched Galerkin methods for the linear advection equation. Zbl 07211838
Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas
2020
Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws. Zbl 07426178
Kuzmin, Dmitri; Quezada de Luna, Manuel
2020
Matrix-free subcell residual distribution for Bernstein finite elements: monolithic limiting. Zbl 07196645
Hajduk, Hennes; Kuzmin, Dmitri; Kolev, Tzanio; Tomov, Vladimir; Tomas, Ignacio; Shadid, John N.
2020
A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. Zbl 1436.76030
Mabuza, Sibusiso; Shadid, John N.; Cyr, Eric C.; Pawlowski, Roger P.; Kuzmin, Dmitri
2020
Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Zbl 1433.60079
Novikov, A.; Kuzmin, D.; Ahmadi, O.
2020
New directional vector limiters for discontinuous Galerkin methods. Zbl 1451.76069
Hajduk, Hennes; Kuzmin, Dmitri; Aizinger, Vadym
2019
An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. Zbl 1442.65282
Wu, T.; Shashkov, M.; Morgan, N.; Kuzmin, D.; Luo, H.
2019
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. Zbl 1447.65030
Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan
2019
A partition of unity approach to adaptivity and limiting in continuous finite element methods. Zbl 1442.65379
Kuzmin, Dmitri; Quezada de Luna, Manuel; Kees, Christopher E.
2019
Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. Zbl 1422.76128
Mabuza, Sibusiso; Shadid, John N.; Kuzmin, Dmitri
2018
Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations. Zbl 1380.65257
Dobrev, V.; Kolev, Tz.; Kuzmin, D.; Rieben, R.; Tomov, V.
2018
High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation. Zbl 1380.65245
Anderson, R.; Dobrev, V.; Kolev, Tz.; Kuzmin, D.; Quezada de Luna, M.; Rieben, R.; Tomov, V.
2017
Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements. Zbl 1380.65279
Lohmann, Christoph; Kuzmin, Dmitri; Shadid, John N.; Mabuza, Sibusiso
2017
Linearity-preserving monotone local projection stabilization schemes for continuous finite elements. Zbl 1439.65114
Kuzmin, Dmitri; Basting, Steffen; Shadid, John N.
2017
An FCT finite element scheme for ideal MHD equations in 1D and 2D. Zbl 1415.76447
Basting, Melanie; Kuzmin, Dmitri
2017
Synchronized flux limiting for gas dynamics variables. Zbl 1373.76286
Lohmann, Christoph; Kuzmin, Dmitri
2016
Embedded discontinuous Galerkin transport schemes with localised limiters. Zbl 1349.65616
Cotter, C. J.; Kuzmin, D.
2016
Finite element methods for computational fluid dynamics. A practical guide. Zbl 1317.76001
Kuzmin, Dmitri; Hämäläinen, Jari
2015
Analysis of a combined CG1-DG2 method for the transport equation. Zbl 1312.65183
Becker, Roland; Bittl, Melanie; Kuzmin, Dmitri
2015
Scale separation in fast hierarchical solvers for discontinuous Galerkin methods. Zbl 1410.65362
Aizinger, Vadym; Kuzmin, Dmitri; Korous, Lukas
2015
Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods. Zbl 1352.65355
Kuzmin, Dmitri
2014
A conservative, positivity preserving scheme for reactive solute transport problems in moving domains. Zbl 1349.65467
Mabuza, Sibusiso; Kuzmin, Dmitri; Čanić, Sunčica; Bukač, Martina
2014
An optimization-based approach to enforcing mass conservation in level set methods. Zbl 1294.65067
Kuzmin, Dmitri
2014
The CG1-DG2 method for convection-diffusion equations in 2D. Zbl 1321.65169
Bittl, Melanie; Kuzmin, Dmitri; Becker, Roland
2014
Optimal control for mass conservative level set methods. Zbl 1321.49047
Basting, Christopher; Kuzmin, Dmitri
2014
Finite element simulation of three-dimensional particulate flows using mixture models. Zbl 1321.76038
Gorb, Yuliya; Mierka, Otto; Rivkind, Liudmila; Kuzmin, Dmitri
2014
A positivity-preserving finite element method for chemotaxis problems in 3D. Zbl 1316.92015
Strehl, Robert; Sokolov, Andriy; Kuzmin, Dmitri; Horstmann, Dirk; Turek, Stefan
2013
Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis. Zbl 1431.65173
Kuzmin, Dmitri
2013
A parameter-free smoothness indicator for high-resolution finite element schemes. Zbl 1273.65145
Kuzmin, Dmitri; Schieweck, Friedhelm
2013
Numerical study of a high order 3D FEM-level set approach for immiscible flow simulation. Zbl 1311.76073
Turek, Stefan; Mierka, Otto; Hysing, Shuren; Kuzmin, Dmitri
2013
Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes. Zbl 1241.65083
Kuzmin, Dmitri
2012
A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions. Zbl 1426.76280
Kuzmin, Dmitri; Gorb, Yuliya
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
2012
Implicit finite element schemes for the stationary compressible Euler equations. Zbl 1426.76265
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2012
A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. Zbl 1218.65106
Boiarkine, Oleg; Kuzmin, Dmitri; Čanić, Sunčica; Guidoboni, Giovanna; Mikelić, Andro
2011
A Newton-like finite element scheme for compressible gas flows. Zbl 1431.76013
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2011
A vertex-based hierarchical slope limiter for $$p$$-adaptive discontinuous Galerkin methods. Zbl 1252.76045
Kuzmin, Dmitri
2010
A flux-corrected finite element method for chemotaxis problems. Zbl 1283.35007
Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S.
2010
Failsafe flux limiting and constrained data projections for equations of gas dynamics. Zbl 1282.76161
Kuzmin, Dmitri; Möller, Matthias; Shadid, John N.; Shashkov, Mikhail
2010
Goal-oriented a posteriori error estimates for transport problems. Zbl 1196.65172
Kuzmin, Dmitri; Korotov, Sergey
2010
Finite element simulation of compressible particle-laden gas flows. Zbl 1252.76041
Gurris, Marcel; Kuzmin, Dmitri; Turek, Stefan
2010
Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems. Zbl 1252.76046
Kuzmin, Dmitri; Möller, Matthias
2010
Quantitative benchmark computations of two-dimensional bubble dynamics. Zbl 1273.76276
Hysing, S.; Turek, S.; Kuzmin, D.; Parolini, N.; Burman, E.; Ganesan, S.; Tobiska, L.
2009
Explicit and implicit FEM-FCT algorithms with flux linearization. Zbl 1275.76171
Kuzmin, Dmitri
2009
A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. Zbl 1163.65085
Kuzmin, D.; Shashkov, M. J.; Svyatskiy, D.
2008
On the design of algebraic flux correction schemes for quadratic finite elements. Zbl 1143.65092
Kuzmin, Dmitri
2008
Implicit FEM-FCT algorithms and discrete Newton methods for transient convection problems. Zbl 1264.76063
Möller, M.; Kuzmin, D.; Kourounis, D.
2008
A newa posteriori error estimate for convection-reaction-diffusion problems. Zbl 1143.65086
Kuzmin, Dmitri; Hannukainen, Antti; Korotov, Sergey
2008
On the implementation of the $$\kappa -\varepsilon$$ turbulence model in incompressible flow solvers based on a finite element discretisation. Zbl 1185.76706
Kuzmin, D.; Mierka, O.; Turek, S.
2007
On the design of general-purpose flux limiters for finite element schemes. I: Scalar convection. Zbl 1189.76342
Kuzmin, D.
2006
Adaptive mesh refinement for high-resolution finite element schemes. Zbl 1108.65115
Möller, Matthias; Kuzmin, D.
2006
Algebraic flux correction for finite element approximation of transport equations. Zbl 1119.65389
Kuzmin, Dmitri
2006
Algebraic flux correction. I: Scalar conservation laws. Zbl 1094.76040
Kuzmin, Dmitri; Möller, Matthias
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
2005
Algebraic flux correction. II: Compressible Euler equations. Zbl 1328.76042
Kuzmin, Dmitri; Möller, Matthias
2005
Novel simulation approaches for cyclic steady-state fixed-bed processes exhibiting sharp fronts and shocks. Zbl 1329.76370
Platte, Frank; Kuzmin, Dmitri; Fredebeul, Christoph; Turek, Stefan
2005
Implicit finite element discretizations based on the flux-corrected transport algorithm. Zbl 1069.76034
Möller, Matthias; Kuzmin, D.; Turek, S.
2005
High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter. Zbl 1107.76352
Kuzmin, D.; Turek, S.
2004
High-resolution FEM–FCT schemes for multidimensional conservation laws. Zbl 1112.76393
Kuzmin, D.; Möller, M.; Turek, S.
2004
Finite element discretization and iterative solution techniques for multiphase flows in gas-liquid reactors. Zbl 1142.76412
Kuzmin, Dmitri; Turek, Stefan
2004
Implicit flux-corrected transport algorithm for finite element simulation of the compressible Euler equations. Zbl 1142.76414
Möller, Matthias; Kuzmin, Dmitri; Turek, Stefan
2004
Multidimensional FEM-FCT schemes for arbitrary time stepping. Zbl 1055.76029
Kuzmin, D.; Möller, M.; Turek, S.
2003
Explicit and implicit high-reolution finite element schemes based on the flux-corrected-transport algorithm. Zbl 1283.76034
Kuzmin, D.; Turek, S.
2003
Flux correction tools for finite elements. Zbl 1028.76023
Kuzmin, D.; Turek, S.
2002
A high-resolution finite element scheme for convection-dominated transport. Zbl 0948.65099
Kuzmin, Dmitri
2000
Multilayer Taylor-Galerkin schemes for convection problems. Zbl 0979.76050
Smolianski, A.; Kuzmin, D.
1999
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### Cited by 950 Authors

 53 Kuzmin, Dmitri 21 Turek, Stefan 14 John, Volker 12 Aizinger, Vadym 11 Möller, Matthias 10 Abgrall, Rémi 8 Kahle, Christian 8 Knobloch, Petr 8 Koleva, Miglena Nikolaeva 8 Rupp, Andreas 8 Shadid, John N. 8 Vulkov, Lubin G. 8 Yuan, Guangwei 7 Frank, Florian 7 Hajduk, Hennes 7 Kolev, Tzanio V. 7 Shashkov, Mikhail J. 6 Barrenechea, Gabriel R. 6 Garcke, Harald 6 Korotov, Sergey 6 Mabuza, Sibusiso 6 Reuter, Balthasar 6 Rivière, Beatrice M. 6 Tomov, Vladimir Z. 5 Badia, Santiago 5 Burman, Erik 5 De Luna, Manuel Quezada 5 Dobrev, Veselin A. 5 Dumbser, Michael 5 Guermond, Jean-Luc 5 Knabner, Peter 5 Lohmann, Christoph 5 Loubère, Raphaël 5 Nürnberg, Robert 5 Vilar, François 5 Wick, Thomas 4 Aoki, Takayuki 4 Benzakour Amine, M. 4 Bonilla, Jesús 4 Feng, Xinlong 4 Ganesan, Sashikumaar 4 Hinze, Michael 4 Huang, Weizhang 4 Kurganov, Alexander 4 Morgan, Nathaniel R. 4 Popov, Boyan 4 Rieben, Robert N. 4 Sokolov, Andrii 4 Xiao, Xufeng 3 Akhmouch, M. 3 Ardekani, Arezoo M. 3 Barrett, John W. 3 Basting, Steffen 3 Bittl, Melanie 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 Gurris, Marcel 3 Hachem, Elie 3 Hintermüller, Michael 3 Huang, Ziyang 3 Hysing, Shuren 3 Keil, Tobias 3 Kubatko, Ethan J. 3 Laadhari, Aymen 3 Li, Shaofan 3 Li, Xianping 3 Lin, Guang 3 Lipnikov, Konstantin N. 3 Luo, Hong 3 Macías-Díaz, Jorge Eduardo 3 Maire, Pierre-Henri 3 Moshkalev, Stanislav A. 3 Nazarov, Murtazo 3 Oñate Ibáñez de Navarra, Eugenio 3 Pandare, Aditya K. 3 Panourgias, Konstantinos T. 3 Patino-Narino, Edgar Andres 3 Safi, Mohammad Amin 3 Soulaimani, Azzeddine 3 Sun, Shuyu 3 Svyatskiy, Daniil 3 Thiele, Christopher 3 Wang, Shuai 3 Yao, Jun 3 Zhang, Aman 3 Zhang, Fan 2 Adams, Nikolaus A. 2 Ahmed, Naveed 2 Aland, Sebastian 2 Alpak, Faruk O. 2 Anderson, Robert W. G. 2 Angot, Philippe 2 Bacigaluppi, Paola 2 Barlow, Andrew J. ...and 850 more Authors
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### Cited in 83 Serials

 136 Journal of Computational Physics 54 Computer Methods in Applied Mechanics and Engineering 50 Computers and Fluids 38 Computers & Mathematics with Applications 28 Journal of Computational and Applied Mathematics 21 Journal of Scientific Computing 17 International Journal for Numerical Methods in Fluids 12 SIAM Journal on Scientific Computing 11 Applied Numerical Mathematics 10 Communications in Computational Physics 8 Engineering Analysis with Boundary Elements 7 Applied Mathematics and Computation 6 Computational Geosciences 5 SIAM Journal on Numerical Analysis 5 Applied Mathematics Letters 5 Applied Mathematical Modelling 5 European Journal of Mechanics. B. Fluids 4 International Journal for Numerical Methods in Engineering 4 Advances in Computational Mathematics 4 Archives of Computational Methods in Engineering 3 Mathematics of Computation 3 Numerische Mathematik 3 International Journal of Computer Mathematics 3 Journal of Mathematical Imaging and Vision 3 International Journal of Computational Fluid Dynamics 2 International Journal of Heat and Mass Transfer 2 Numerical Methods for Partial Differential Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Nonlinear Science and Numerical Simulation 2 Differential Equations 2 Computational Methods in Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Numerical Mathematics 2 Central European Journal of Mathematics 2 International Journal of Computational Methods 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica 1 Fluid Dynamics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Bulletin of Mathematical Biology 1 Calcolo 1 Computing 1 Mathematics and Computers in Simulation 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Journal of Non-Newtonian Fluid Mechanics 1 Indagationes Mathematicae. New Series 1 Cybernetics and Systems Analysis 1 Tatra Mountains Mathematical Publications 1 Communications in Numerical Methods in Engineering 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Journal of Mathematical Fluid Mechanics 1 Optimization and Engineering 1 4OR 1 International Journal of Numerical Analysis and Modeling 1 Networks and Spatial Economics 1 Oberwolfach Reports 1 Communications in Applied Mathematics and Computational Science 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Algorithms 1 Advances in Applied Mathematics and Mechanics 1 International Journal for Numerical Methods in Biomedical Engineering 1 GEM - International Journal on Geomathematics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 ISRN Applied Mathematics 1 Journal of Theoretical Biology 1 SMAI Journal of Computational Mathematics 1 Journal of Computational and Theoretical Transport
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### Cited in 25 Fields

 376 Numerical analysis (65-XX) 317 Fluid mechanics (76-XX) 144 Partial differential equations (35-XX) 41 Biology and other natural sciences (92-XX) 19 Mechanics of deformable solids (74-XX) 16 Statistical mechanics, structure of matter (82-XX) 16 Geophysics (86-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 6 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-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 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX)