Dmitri Kuzmin

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 45

Top Topics

Conservation Laws

Monte Carlo Simulation

Top Venues

J. Comput. Phys.

J. Comput. Appl. Math.

Publications

Ilya Timofeyev, Alexey Schwarzmann, Dmitri Kuzmin
Application of Machine Learning and Convex Limiting to Subgrid Flux Modeling in the Shallow-Water Equations. CoRR (2024)
Petr Knobloch, Dmitri Kuzmin, Abhinav Jha
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. J. Comput. Phys. 518 (2024)
Paul Moujaes, Dmitri Kuzmin
Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations. CoRR (2024)
Petr Knobloch, Dmitri Kuzmin, Abhinav Jha
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. CoRR (2024)
Joshua Vedral, Andreas Rupp, Dmitri Kuzmin
Strongly consistent low-dissipation WENO schemes for finite elements. CoRR (2024)
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 (2023)
Dmitri Kuzmin, Joshua Vedral
Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws. J. Comput. Phys. 487 (2023)
Dmitri Kuzmin, Mária Lukácová-Medvid'ová, Philipp Öffner
Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems. CoRR (2023)
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) (2023)
Andrés M. Rueda-Ramírez, Benjamin Bolm, Dmitri Kuzmin, Gregor J. Gassner
Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods. CoRR (2023)
Dmitri Kuzmin, Joshua Vedral
Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws. CoRR (2022)
Hennes Hajduk, Dmitri Kuzmin
Bound-preserving and entropy-stable algebraic flux correction schemes for the shallow water equations with topography. CoRR (2022)
Dmitri Kuzmin, Jan-Phillip Bäcker
An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces. J. Comput. Phys. 461 (2022)
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) (2022)
Hennes Hajduk, Andreas Rupp, Dmitri Kuzmin
Analysis of algebraic flux correction for semi-discrete advection problems. CoRR (2021)
Dmitri Kuzmin, Hennes Hajduk, Andreas Rupp
Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems. CoRR (2021)
Dmitri Kuzmin
Entropy stabilization and property-preserving limiters for ℙ1 discontinuous Galerkin discretizations of scalar hyperbolic problems. J. Num. Math. 29 (4) (2021)
Dmitri Kuzmin, Jan-Phillip Bäcker
An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces. CoRR (2021)
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 (2021)
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 (2021)
Abhinav Jha, Ondrej Pártl, Naveed Ahmed, Dmitri Kuzmin
An Assessment of Solvers for Algebraically Stabilized Discretizations of Convection-Diffusion-Reaction Equations. CoRR (2021)
Falko Ruppenthal, Dmitri Kuzmin
Optimal control using flux potentials: A way to construct bound-preserving finite element schemes for conservation laws. CoRR (2021)
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 (2020)
Dmitri Kuzmin, Manuel Quezada de Luna
Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws. CoRR (2020)
Dmitri Kuzmin
A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws. CoRR (2020)
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 (2020)
Dmitri Kuzmin, Nikita Klyushnev
Limiting and divergence cleaning for continuous finite element discretizations of the MHD equations. J. Comput. Phys. 407 (2020)
Dmitri Kuzmin
Entropy stabilization and property-preserving limiters for discontinuous Galerkin discretizations of nonlinear hyperbolic equations. CoRR (2020)
Dmitri Kuzmin, Manuel Quezada de Luna
Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws. CoRR (2020)
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 (2020)
Alexei Novikov, Dmitri Kuzmin, Omid Ahmadi
Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Appl. Math. Comput. 364 (2020)
Dmitri Kuzmin, Manuel Quezada de Luna
Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. CoRR (2019)
Hennes Hajduk, Dmitri Kuzmin, Vadym Aizinger
New directional vector limiters for discontinuous Galerkin methods. J. Comput. Phys. 384 (2019)
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) (2019)
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) (2019)
Manuel Quezada de Luna, Dmitri Kuzmin, Christopher E. Kees
A monolithic conservative level set method with built-in redistancing. J. Comput. Phys. 379 (2019)
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) (2019)
Dmitri Kuzmin
Planar and Orthotropic Closures for Orientation Tensors in Fiber Suspension Flow Models. SIAM J. Appl. Math. 78 (6) (2018)
Sibusiso Mabuza, John N. Shadid, Dmitri Kuzmin
Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. J. Comput. Phys. 361 (2018)
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 (2018)
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 (2017)
Steffen Basting, Dmitri Kuzmin
An FCT finite element scheme for ideal MHD equations in 1D and 2D. J. Comput. Phys. 338 (2017)
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 (2017)
Colin J. Cotter, Dmitri Kuzmin
Embedded discontinuous Galerkin transport schemes with localised limiters. J. Comput. Phys. 311 (2016)
Christoph Lohmann, Dmitri Kuzmin
Synchronized flux limiting for gas dynamics variables. J. Comput. Phys. 326 (2016)
Vadym Aizinger, Dmitri Kuzmin, Lukas Korous
Scale separation in fast hierarchical solvers for discontinuous Galerkin methods. Appl. Math. Comput. 266 (2015)
Roland Becker, Melanie Bittl, Dmitri Kuzmin
Analysis of a Combined CG1-DG2 Method for the Transport Equation. SIAM J. Numer. Anal. 53 (1) (2015)
Dmitri Kuzmin
Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods. J. Comput. Phys. 257 (2014)
Yuliya Gorb, Otto Mierka, Liudmila Rivkind, Dmitri Kuzmin
Finite element simulation of three-dimensional particulate flows using mixture models. J. Comput. Appl. Math. 270 (2014)
Melanie Bittl, Dmitri Kuzmin, Roland Becker
The CG1-DG2 method for convection-diffusion equations in 2D. J. Comput. Appl. Math. 270 (2014)
Dmitri Kuzmin
An optimization-based approach to enforcing mass conservation in level set methods. J. Comput. Appl. Math. 258 (2014)
Christopher Basting, Dmitri Kuzmin
Optimal control for mass conservative level set methods. J. Comput. Appl. Math. 270 (2014)
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 (2014)
Christopher Basting, Dmitri Kuzmin
A minimization-based finite element formulation for interface-preserving level set reinitialization. Computing 95 (S1) (2013)
Melanie Bittl, Dmitri Kuzmin
An $$hp$$ -adaptive flux-corrected transport algorithm for continuous finite elements. Computing 95 (S1) (2013)
Melanie Bittl, Dmitri Kuzmin
The Reference Solution Approach to Hp-Adaptivity in Finite Element Flux-Corrected Transport Algorithms. LSSC (2013)
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 (2013)
Dmitri Kuzmin, Yuliya Gorb
A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions. J. Comput. Appl. Math. 236 (18) (2012)
Dmitri Kuzmin
Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes. J. Comput. Appl. Math. 236 (9) (2012)
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) (2011)
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) (2011)
Marcel Gurris, Dmitri Kuzmin, Stefan Turek
Implicit finite element schemes for stationary compressible particle-laden gas flows. J. Comput. Appl. Math. 235 (17) (2011)
Dmitri Kuzmin, Matthias Möller
Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems. J. Comput. Appl. Math. 233 (12) (2010)
Marcel Gurris, Dmitri Kuzmin, Stefan Turek
Finite element simulation of compressible particle-laden gas flows. J. Comput. Appl. Math. 233 (12) (2010)
Dmitri Kuzmin
A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods. J. Comput. Appl. Math. 233 (12) (2010)
Pavel Solín, Dmitri Kuzmin, Daniil Svyatskiy, Marián Slodicka
Preface. J. Comput. Appl. Math. 233 (12) (2010)
Robert Strehl, Andriy Sokolov, Dmitri Kuzmin, Stefan Turek
A Flux-Corrected Finite Element Method for Chemotaxis Problems. Comput. Methods Appl. Math. 10 (2) (2010)
Dmitri Kuzmin, Sergey Korotov
Goal-oriented a posteriori error estimates for transport problems. Math. Comput. Simul. 80 (8) (2010)
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) (2010)
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) (2009)
Dmitri Kuzmin
Explicit and implicit FEM-FCT algorithms with flux linearization. J. Comput. Phys. 228 (7) (2009)
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) (2007)
Dmitri Kuzmin
On the design of general-purpose flux limiters for finite element schemes. I. Scalar convection. J. Comput. Phys. 219 (2) (2006)