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ORCIDDmitri Kuzmin
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2020 – today
- 2024
[j54]Petr Knobloch
, Dmitri Kuzmin, Abhinav Jha:
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. J. Comput. Phys. 518: 113305 (2024)- [j53]Katharina Wegener, Dmitri Kuzmin, Stefan Turek:
Efficient numerical solution of the Fokker-Planck equation using physics-conforming finite element methods. J. Num. Math. 32(3): 217-232 (2024) - [i19]Petr Knobloch, Dmitri Kuzmin, Abhinav Jha:
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. CoRR abs/2401.03964 (2024) - [i18]Paul Moujaes, Dmitri Kuzmin:
Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations. CoRR abs/2407.03746 (2024) - [i17]Joshua Vedral, Andreas Rupp, Dmitri Kuzmin:
Strongly consistent low-dissipation WENO schemes for finite elements. CoRR abs/2407.04646 (2024) - [i16]Ilya Timofeyev, Alexey Schwarzmann, Dmitri Kuzmin:
Application of Machine Learning and Convex Limiting to Subgrid Flux Modeling in the Shallow-Water Equations. CoRR abs/2407.17214 (2024) - 2023
- [j52]Falko Ruppenthal, Dmitri Kuzmin:
Optimal control using flux potentials: A way to construct bound-preserving finite element schemes for conservation laws. J. Comput. Appl. Math. 434: 115351 (2023) - [j51]Dmitri Kuzmin, Joshua Vedral:
Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws. J. Comput. Phys. 487: 112153 (2023) - [j50]Abhinav Jha, Ondrej Pártl, Naveed Ahmed, Dmitri Kuzmin:
An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations. J. Num. Math. 31(2): 79-104 (2023) - [i15]Andrés M. Rueda-Ramírez, Benjamin Bolm, Dmitri Kuzmin, Gregor J. Gassner:
Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods. CoRR abs/2303.00374 (2023) - [i14]Dmitri Kuzmin, Mária Lukácová-Medvid'ová, Philipp Öffner:
Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems. CoRR abs/2308.14872 (2023) - 2022
- [j49]Dmitri Kuzmin, Jan-Phillip Bäcker:
An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces. J. Comput. Phys. 461: 111218 (2022) - [j48]Dmitri Kuzmin, Manuel Quezada de Luna, David I. Ketcheson, Johanna Grüll:
Bound-preserving Flux Limiting for High-Order Explicit Runge-Kutta Time Discretizations of Hyperbolic Conservation Laws. J. Sci. Comput. 91(1): 21 (2022) - [i13]Hennes Hajduk, Dmitri Kuzmin:
Bound-preserving and entropy-stable algebraic flux correction schemes for the shallow water equations with topography. CoRR abs/2207.07261 (2022) - [i12]Dmitri Kuzmin, Joshua Vedral:
Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws. CoRR abs/2212.14224 (2022) - 2021
- [j47]Mack Kenamond, Dmitri Kuzmin, Mikhail J. Shashkov:
Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics. J. Comput. Phys. 429: 110014 (2021) - [j46]Mack Kenamond, Dmitri Kuzmin, Mikhail J. Shashkov:
A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes. J. Comput. Phys. 435: 110254 (2021) - [j45]Dmitri Kuzmin:
Entropy stabilization and property-preserving limiters for ℙ1 discontinuous Galerkin discretizations of scalar hyperbolic problems. J. Num. Math. 29(4): 307-322 (2021) - [i11]Hennes Hajduk, Andreas Rupp, Dmitri Kuzmin:
Analysis of algebraic flux correction for semi-discrete advection problems. CoRR abs/2104.05639 (2021) - [i10]Dmitri Kuzmin, Hennes Hajduk, Andreas Rupp:
Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems. CoRR abs/2107.11283 (2021) - [i9]Falko Ruppenthal, Dmitri Kuzmin:
Optimal control using flux potentials: A way to construct bound-preserving finite element schemes for conservation laws. CoRR abs/2110.09912 (2021) - [i8]Abhinav Jha, Ondrej Pártl, Naveed Ahmed, Dmitri Kuzmin:
An Assessment of Solvers for Algebraically Stabilized Discretizations of Convection-Diffusion-Reaction Equations. CoRR abs/2110.15676 (2021) - [i7]Dmitri Kuzmin, Jan-Phillip Bäcker:
An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces. CoRR abs/2112.07305 (2021) - 2020
- [j44]Alexei Novikov, Dmitri Kuzmin, Omid Ahmadi:
Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Appl. Math. Comput. 364 (2020) - [j43]Dmitri Kuzmin, Nikita Klyushnev:
Limiting and divergence cleaning for continuous finite element discretizations of the MHD equations. J. Comput. Phys. 407: 109230 (2020) - [j42]Sibusiso Mabuza, John N. Shadid, Eric C. Cyr, Roger P. Pawlowski, Dmitri Kuzmin:
A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. J. Comput. Phys. 410: 109390 (2020) - [j41]Dmitri Kuzmin, Manuel Quezada de Luna:
Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. J. Comput. Phys. 411: 109411 (2020) - [i6]Dmitri Kuzmin, Manuel Quezada de Luna:
Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws. CoRR abs/2003.12007 (2020) - [i5]Dmitri Kuzmin:
Entropy stabilization and property-preserving limiters for discontinuous Galerkin discretizations of nonlinear hyperbolic equations. CoRR abs/2004.03521 (2020) - [i4]Dmitri Kuzmin, Manuel Quezada de Luna:
Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws. CoRR abs/2005.08788 (2020) - [i3]Dmitri Kuzmin:
A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws. CoRR abs/2008.11981 (2020) - [i2]Dmitri Kuzmin, Manuel Quezada de Luna, David I. Ketcheson, Johanna Grüll:
Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws. CoRR abs/2009.01133 (2020)
2010 – 2019
- 2019
- [j40]Tong Wu, Mikhail J. Shashkov, Nathaniel R. Morgan, Dmitri Kuzmin, H. Luo:
An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. Comput. Math. Appl. 78(2): 258-273 (2019) - [j39]Dmitri Kuzmin, Manuel Quezada de Luna, Christopher E. Kees:
A partition of unity approach to adaptivity and limiting in continuous finite element methods. Comput. Math. Appl. 78(3): 944-957 (2019) - [j38]Manuel Quezada de Luna, Dmitri Kuzmin, Christopher E. Kees:
A monolithic conservative level set method with built-in redistancing. J. Comput. Phys. 379: 262-278 (2019) - [j37]Hennes Hajduk, Dmitri Kuzmin, Vadym Aizinger:
New directional vector limiters for discontinuous Galerkin methods. J. Comput. Phys. 384: 308-325 (2019) - [j36]Andriy Sokolov, Oleg Davydov, Dmitri Kuzmin, Alexander Westermann, Stefan Turek:
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. J. Num. Math. 27(4): 253-269 (2019) - [i1]Dmitri Kuzmin, Manuel Quezada de Luna:
Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. CoRR abs/1909.03328 (2019) - 2018
- [j35]Veselin Dobrev, Tzanio V. Kolev, Dmitri Kuzmin, Robert N. Rieben, Vladimir Z. Tomov:
Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations. J. Comput. Phys. 356: 372-390 (2018) - [j34]Sibusiso Mabuza, John N. Shadid, Dmitri Kuzmin:
Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. J. Comput. Phys. 361: 82-110 (2018) - [j33]Dmitri Kuzmin:
Planar and Orthotropic Closures for Orientation Tensors in Fiber Suspension Flow Models. SIAM J. Appl. Math. 78(6): 3040-3059 (2018) - 2017
- [j32]Robert W. Anderson, Veselin Dobrev, Tzanio V. Kolev, Dmitri Kuzmin, Manuel Quezada de Luna, Robert N. Rieben, Vladimir Z. Tomov:
High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation. J. Comput. Phys. 334: 102-124 (2017) - [j31]Steffen Basting, Dmitri Kuzmin:
An FCT finite element scheme for ideal MHD equations in 1D and 2D. J. Comput. Phys. 338: 585-605 (2017) - [j30]Christoph Lohmann, Dmitri Kuzmin, John N. Shadid, Sibusiso Mabuza:
Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements. J. Comput. Phys. 344: 151-186 (2017) - 2016
- [j29]Colin J. Cotter, Dmitri Kuzmin:
Embedded discontinuous Galerkin transport schemes with localised limiters. J. Comput. Phys. 311: 363-373 (2016) - [j28]Christoph Lohmann, Dmitri Kuzmin:
Synchronized flux limiting for gas dynamics variables. J. Comput. Phys. 326: 973-990 (2016) - 2015
- [j27]Vadym Aizinger, Dmitri Kuzmin, Lukas Korous:
Scale separation in fast hierarchical solvers for discontinuous Galerkin methods. Appl. Math. Comput. 266: 838-849 (2015) - [j26]Roland Becker, Melanie Bittl, Dmitri Kuzmin:
Analysis of a Combined CG1-DG2 Method for the Transport Equation. SIAM J. Numer. Anal. 53(1): 445-463 (2015) - 2014
- [j25]Dmitri Kuzmin:
An optimization-based approach to enforcing mass conservation in level set methods. J. Comput. Appl. Math. 258: 78-86 (2014) - [j24]Melanie Bittl, Dmitri Kuzmin, Roland Becker:
The CG1-DG2 method for convection-diffusion equations in 2D. J. Comput. Appl. Math. 270: 21-31 (2014) - [j23]Christopher Basting, Dmitri Kuzmin:
Optimal control for mass conservative level set methods. J. Comput. Appl. Math. 270: 343-352 (2014) - [j22]Yuliya Gorb, Otto Mierka, Liudmila Rivkind, Dmitri Kuzmin:
Finite element simulation of three-dimensional particulate flows using mixture models. J. Comput. Appl. Math. 270: 443-450 (2014) - [j21]Dmitri Kuzmin:
Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods. J. Comput. Phys. 257: 1140-1162 (2014) - [j20]Sibusiso Mabuza, Dmitri Kuzmin, Suncica Canic, Martina Bukac:
A conservative, positivity preserving scheme for reactive solute transport problems in moving domains. J. Comput. Phys. 276: 563-595 (2014) - 2013
- [j19]Christopher Basting, Dmitri Kuzmin:
A minimization-based finite element formulation for interface-preserving level set reinitialization. Computing 95(S1): 13-25 (2013) - [j18]Melanie Bittl, Dmitri Kuzmin:
An $$hp$$ -adaptive flux-corrected transport algorithm for continuous finite elements. Computing 95(S1): 27-48 (2013) - [j17]Robert Strehl, Andriy Sokolov, Dmitri Kuzmin, Dirk Horstmann, Stefan Turek:
A positivity-preserving finite element method for chemotaxis problems in 3D. J. Comput. Appl. Math. 239: 290-303 (2013) - [c1]Melanie Bittl, Dmitri Kuzmin:
The Reference Solution Approach to Hp-Adaptivity in Finite Element Flux-Corrected Transport Algorithms. LSSC 2013: 197-204 - 2012
- [j16]Dmitri Kuzmin:
Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes. J. Comput. Appl. Math. 236(9): 2317-2337 (2012) - [j15]Dmitri Kuzmin, Yuliya Gorb:
A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions. J. Comput. Appl. Math. 236(18): 4944-4951 (2012) - 2011
- [j14]Evren Bayraktar, Otto Mierka, F. Platte, Dmitri Kuzmin, Stefan Turek:
Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics. Comput. Chem. Eng. 35(11): 2204-2217 (2011) - [j13]Marcel Gurris, Dmitri Kuzmin, Stefan Turek:
Implicit finite element schemes for stationary compressible particle-laden gas flows. J. Comput. Appl. Math. 235(17): 5056-5077 (2011) - [j12]Oleg Boiarkine, Dmitri Kuzmin, Suncica Canic, Giovanna Guidoboni, Andro Mikelic:
A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. J. Comput. Phys. 230(8): 2896-2914 (2011) - 2010
- [j11]Robert Strehl, Andriy Sokolov, Dmitri Kuzmin, Stefan Turek:
A Flux-Corrected Finite Element Method for Chemotaxis Problems. Comput. Methods Appl. Math. 10(2): 219-232 (2010) - [j10]Pavel Solín, Dmitri Kuzmin, Daniil Svyatskiy, Marián Slodicka:
Preface. J. Comput. Appl. Math. 233(12): 3075-3076 (2010) - [j9]Dmitri Kuzmin:
A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods. J. Comput. Appl. Math. 233(12): 3077-3085 (2010) - [j8]Dmitri Kuzmin, Matthias Möller:
Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems. J. Comput. Appl. Math. 233(12): 3113-3120 (2010) - [j7]Marcel Gurris, Dmitri Kuzmin, Stefan Turek:
Finite element simulation of compressible particle-laden gas flows. J. Comput. Appl. Math. 233(12): 3121-3129 (2010) - [j6]Dmitri Kuzmin, Matthias Möller, John N. Shadid, Mikhail Yu. Shashkov:
Failsafe flux limiting and constrained data projections for equations of gas dynamics. J. Comput. Phys. 229(23): 8766-8779 (2010) - [j5]Dmitri Kuzmin, Sergey Korotov:
Goal-oriented a posteriori error estimates for transport problems. Math. Comput. Simul. 80(8): 1674-1683 (2010)
2000 – 2009
- 2009
- [j4]Dmitri Kuzmin:
Explicit and implicit FEM-FCT algorithms with flux linearization. J. Comput. Phys. 228(7): 2517-2534 (2009) - [j3]Dmitri Kuzmin, Mikhail J. Shashkov, Daniil Svyatskiy:
A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. J. Comput. Phys. 228(9): 3448-3463 (2009) - 2007
- [j2]Dmitri Kuzmin, Otto Mierka, Stefan Turek:
On the implementation of the κ-ε turbulence model in incompressible flow solvers based on a finite element discretisation. Int. J. Comput. Sci. Math. 1(2/3/4): 193-206 (2007) - 2006
- [j1]Dmitri Kuzmin:
On the design of general-purpose flux limiters for finite element schemes. I. Scalar convection. J. Comput. Phys. 219(2): 513-531 (2006)
Coauthor Index
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