Dmitri Kuzmin

Orcid: 0000-0003-0084-9752

According to our database1, Dmitri Kuzmin authored at least 70 papers between 2006 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Efficient numerical solution of the Fokker-Planck equation using physics-conforming finite element methods.
J. Num. Math., September, 2024

Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations.
J. Comput. Phys., 2024

Locally energy-stable finite element schemes for incompressible flow problems: Design and analysis for equal-order interpolations.
CoRR, 2024

Application of Machine Learning and Convex Limiting to Subgrid Flux Modeling in the Shallow-Water Equations.
CoRR, 2024

Strongly consistent low-dissipation WENO schemes for finite elements.
CoRR, 2024

Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations.
CoRR, 2024

2023
Optimal control using flux potentials: A way to construct bound-preserving finite element schemes for conservation laws.
J. Comput. Appl. Math., December, 2023

An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations.
J. Num. Math., June, 2023

Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws.
J. Comput. Phys., 2023

Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems.
CoRR, 2023

Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods.
CoRR, 2023

2022
Bound-preserving Flux Limiting for High-Order Explicit Runge-Kutta Time Discretizations of Hyperbolic Conservation Laws.
J. Sci. Comput., 2022

An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces.
J. Comput. Phys., 2022

Bound-preserving and entropy-stable algebraic flux correction schemes for the shallow water equations with topography.
CoRR, 2022

2021
Entropy stabilization and property-preserving limiters for ℙ1 discontinuous Galerkin discretizations of scalar hyperbolic problems.
J. Num. Math., 2021

A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes.
J. Comput. Phys., 2021

Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics.
J. Comput. Phys., 2021

An Assessment of Solvers for Algebraically Stabilized Discretizations of Convection-Diffusion-Reaction Equations.
CoRR, 2021

Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems.
CoRR, 2021

Analysis of algebraic flux correction for semi-discrete advection problems.
CoRR, 2021

2020
A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations.
J. Comput. Phys., 2020

Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws.
J. Comput. Phys., 2020

Limiting and divergence cleaning for continuous finite element discretizations of the MHD equations.
J. Comput. Phys., 2020

Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws.
CoRR, 2020

A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws.
CoRR, 2020

Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws.
CoRR, 2020

Entropy stabilization and property-preserving limiters for discontinuous Galerkin discretizations of nonlinear hyperbolic equations.
CoRR, 2020

Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws.
CoRR, 2020

Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere.
Appl. Math. Comput., 2020

2019
A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds.
J. Num. Math., 2019

A monolithic conservative level set method with built-in redistancing.
J. Comput. Phys., 2019

New directional vector limiters for discontinuous Galerkin methods.
J. Comput. Phys., 2019

An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics.
Comput. Math. Appl., 2019

A partition of unity approach to adaptivity and limiting in continuous finite element methods.
Comput. Math. Appl., 2019

2018
Planar and Orthotropic Closures for Orientation Tensors in Fiber Suspension Flow Models.
SIAM J. Appl. Math., 2018

Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems.
J. Comput. Phys., 2018

Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations.
J. Comput. Phys., 2018

2017
Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements.
J. Comput. Phys., 2017

An FCT finite element scheme for ideal MHD equations in 1D and 2D.
J. Comput. Phys., 2017

High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation.
J. Comput. Phys., 2017

2016
Synchronized flux limiting for gas dynamics variables.
J. Comput. Phys., 2016

Embedded discontinuous Galerkin transport schemes with localised limiters.
J. Comput. Phys., 2016

2015
Analysis of a Combined CG1-DG2 Method for the Transport Equation.
SIAM J. Numer. Anal., 2015

Scale separation in fast hierarchical solvers for discontinuous Galerkin methods.
Appl. Math. Comput., 2015

2014
A conservative, positivity preserving scheme for reactive solute transport problems in moving domains.
J. Comput. Phys., 2014

Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods.
J. Comput. Phys., 2014

An optimization-based approach to enforcing mass conservation in level set methods.
J. Comput. Appl. Math., 2014

Finite element simulation of three-dimensional particulate flows using mixture models.
J. Comput. Appl. Math., 2014

The CG1-DG2 method for convection-diffusion equations in 2D.
J. Comput. Appl. Math., 2014

Optimal control for mass conservative level set methods.
J. Comput. Appl. Math., 2014

2013
A positivity-preserving finite element method for chemotaxis problems in 3D.
J. Comput. Appl. Math., 2013

An $$hp$$ -adaptive flux-corrected transport algorithm for continuous finite elements.
Computing, 2013

A minimization-based finite element formulation for interface-preserving level set reinitialization.
Computing, 2013

The Reference Solution Approach to Hp-Adaptivity in Finite Element Flux-Corrected Transport Algorithms.
Proceedings of the Large-Scale Scientific Computing - 9th International Conference, 2013

2012
A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions.
J. Comput. Appl. Math., 2012

Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes.
J. Comput. Appl. Math., 2012

2011
A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains.
J. Comput. Phys., 2011

Implicit finite element schemes for stationary compressible particle-laden gas flows.
J. Comput. Appl. Math., 2011

Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics.
Comput. Chem. Eng., 2011

2010
Goal-oriented a posteriori error estimates for transport problems.
Math. Comput. Simul., 2010

Failsafe flux limiting and constrained data projections for equations of gas dynamics.
J. Comput. Phys., 2010

Preface.
J. Comput. Appl. Math., 2010

Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems.
J. Comput. Appl. Math., 2010

A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods.
J. Comput. Appl. Math., 2010

Finite element simulation of compressible particle-laden gas flows.
J. Comput. Appl. Math., 2010

A Flux-Corrected Finite Element Method for Chemotaxis Problems.
Comput. Methods Appl. Math., 2010

2009
A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems.
J. Comput. Phys., 2009

Explicit and implicit FEM-FCT algorithms with flux linearization.
J. Comput. Phys., 2009

2007
On the implementation of the κ-ε turbulence model in incompressible flow solvers based on a finite element discretisation.
Int. J. Comput. Sci. Math., 2007

2006
On the design of general-purpose flux limiters for finite element schemes. I. Scalar convection.
J. Comput. Phys., 2006


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