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

On the implementation of the κ-ε turbulence model in incompressible flow solvers based on a finite element discretisation. - Dmitri Kuzmin; Otto Mierka; Stefan Turek (Int. J. Comput. Sci. Math., 2007)

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

A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. - Dmitri Kuzmin; Mikhail J. Shashkov; Daniil Svyatskiy (J. Comput. Phys., 2009)

A Flux-Corrected Finite Element Method for Chemotaxis Problems. - Robert Strehl; Andriy Sokolov; Dmitri Kuzmin; Stefan Turek (Comput. Methods Appl. Math., 2010)

Finite element simulation of compressible particle-laden gas flows. - Marcel Gurris; Dmitri Kuzmin; Stefan Turek (J. Comput. Appl. Math., 2010)

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

Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems. - Dmitri Kuzmin; Matthias Möller (J. Comput. Appl. Math., 2010)

Preface. - Pavel Solín; Dmitri Kuzmin; Daniil Svyatskiy; Marián Slodicka (J. Comput. Appl. Math., 2010)

Failsafe flux limiting and constrained data projections for equations of gas dynamics. - Dmitri Kuzmin; Matthias Möller; John N. Shadid; Mikhail Yu. Shashkov (J. Comput. Phys., 2010)

Goal-oriented a posteriori error estimates for transport problems. - Dmitri Kuzmin; Sergey Korotov (Math. Comput. Simul., 2010)

Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics. - Evren Bayraktar; Otto Mierka; F. Platte; Dmitri Kuzmin; Stefan Turek (Comput. Chem. Eng., 2011)

Implicit finite element schemes for stationary compressible particle-laden gas flows. - Marcel Gurris; Dmitri Kuzmin; Stefan Turek (J. Comput. Appl. Math., 2011)

A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains. - Oleg Boiarkine; Dmitri Kuzmin; Suncica Canic; Giovanna Guidoboni; Andro Mikelic (J. Comput. Phys., 2011)

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

A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions. - Dmitri Kuzmin; Yuliya Gorb (J. Comput. Appl. Math., 2012)

The Reference Solution Approach to Hp-Adaptivity in Finite Element Flux-Corrected Transport Algorithms. - Melanie Bittl; Dmitri Kuzmin (LSSC, 2013)

A minimization-based finite element formulation for interface-preserving level set reinitialization. - Christopher Basting; Dmitri Kuzmin (Computing, 2013)

An $$hp$$ -adaptive flux-corrected transport algorithm for continuous finite elements. - Melanie Bittl; Dmitri Kuzmin (Computing, 2013)

A positivity-preserving finite element method for chemotaxis problems in 3D. - Robert Strehl; Andriy Sokolov; Dmitri Kuzmin; Dirk Horstmann; Stefan Turek (J. Comput. Appl. Math., 2013)

Optimal control for mass conservative level set methods. - Christopher Basting; Dmitri Kuzmin (J. Comput. Appl. Math., 2014)

The CG1-DG2 method for convection-diffusion equations in 2D. - Melanie Bittl; Dmitri Kuzmin; Roland Becker (J. Comput. Appl. Math., 2014)

Finite element simulation of three-dimensional particulate flows using mixture models. - Yuliya Gorb; Otto Mierka; Liudmila Rivkind; Dmitri Kuzmin (J. Comput. Appl. Math., 2014)

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

Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods. - Dmitri Kuzmin (J. Comput. Phys., 2014)

A conservative, positivity preserving scheme for reactive solute transport problems in moving domains. - Sibusiso Mabuza; Dmitri Kuzmin; Suncica Canic; Martina Bukac (J. Comput. Phys., 2014)

Scale separation in fast hierarchical solvers for discontinuous Galerkin methods. - Vadym Aizinger; Dmitri Kuzmin; Lukas Korous (Appl. Math. Comput., 2015)

Analysis of a Combined CG1-DG2 Method for the Transport Equation. - Roland Becker; Melanie Bittl; Dmitri Kuzmin (SIAM J. Numer. Anal., 2015)

Embedded discontinuous Galerkin transport schemes with localised limiters. - Colin J. Cotter; Dmitri Kuzmin (J. Comput. Phys., 2016)

Synchronized flux limiting for gas dynamics variables. - Christoph Lohmann; Dmitri Kuzmin (J. Comput. Phys., 2016)

High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation. - Robert W. Anderson; Veselin Dobrev; Tzanio V. Kolev; Dmitri Kuzmin; Manuel Quezada de Luna; Robert N. Rieben; Vladimir Z. Tomov (J. Comput. Phys., 2017)

An FCT finite element scheme for ideal MHD equations in 1D and 2D. - Steffen Basting; Dmitri Kuzmin (J. Comput. Phys., 2017)

Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements. - Christoph Lohmann; Dmitri Kuzmin; John N. Shadid; Sibusiso Mabuza (J. Comput. Phys., 2017)

Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations. - Veselin Dobrev; Tzanio V. Kolev; Dmitri Kuzmin; Robert N. Rieben; Vladimir Z. Tomov (J. Comput. Phys., 2018)

Local bounds preserving stabilization for continuous Galerkin discretization of hyperbolic systems. - Sibusiso Mabuza; John N. Shadid; Dmitri Kuzmin (J. Comput. Phys., 2018)

Planar and Orthotropic Closures for Orientation Tensors in Fiber Suspension Flow Models. - Dmitri Kuzmin (SIAM J. Appl. Math., 2018)

A partition of unity approach to adaptivity and limiting in continuous finite element methods. - Dmitri Kuzmin; Manuel Quezada de Luna; Christopher E. Kees (Comput. Math. Appl., 2019)

An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. - Tong Wu 005; Mikhail J. Shashkov; Nathaniel R. Morgan; Dmitri Kuzmin; H. Luo (Comput. Math. Appl., 2019)

New directional vector limiters for discontinuous Galerkin methods. - Hennes Hajduk; Dmitri Kuzmin; Vadym Aizinger (J. Comput. Phys., 2019)

A monolithic conservative level set method with built-in redistancing. - Manuel Quezada de Luna; Dmitri Kuzmin; Christopher E. Kees (J. Comput. Phys., 2019)

A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. - Andriy Sokolov; Oleg Davydov; Dmitri Kuzmin; Alexander Westermann; Stefan Turek (J. Num. Math., 2019)

Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. - Alexei Novikov; Dmitri Kuzmin; Omid Ahmadi (Appl. Math. Comput., 2020)

Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws. - Dmitri Kuzmin; Manuel Quezada de Luna (CoRR, 2020)

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

Entropy conservation property and entropy stabilization of high-order continuous Galerkin approximations to scalar conservation laws. - Dmitri Kuzmin; Manuel Quezada de Luna (CoRR, 2020)

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

Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws. - Dmitri Kuzmin; Manuel Quezada de Luna; David I. Ketcheson; Johanna Grüll (CoRR, 2020)

Limiting and divergence cleaning for continuous finite element discretizations of the MHD equations. - Dmitri Kuzmin; Nikita Klyushnev (J. Comput. Phys., 2020)

Subcell flux limiting for high-order Bernstein finite element discretizations of scalar hyperbolic conservation laws. - Dmitri Kuzmin; Manuel Quezada de Luna (J. Comput. Phys., 2020)

A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations. - Sibusiso Mabuza; John N. Shadid; Eric C. Cyr; Roger P. Pawlowski; Dmitri Kuzmin (J. Comput. Phys., 2020)

Analysis of algebraic flux correction for semi-discrete advection problems. - Hennes Hajduk; Andreas Rupp; Dmitri Kuzmin (CoRR, 2021)

Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems. - Dmitri Kuzmin; Hennes Hajduk; Andreas Rupp (CoRR, 2021)

An Assessment of Solvers for Algebraically Stabilized Discretizations of Convection-Diffusion-Reaction Equations. - Abhinav Jha; Ondrej Pártl; Naveed Ahmed; Dmitri Kuzmin (CoRR, 2021)

Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics. - Mack Kenamond; Dmitri Kuzmin; Mikhail J. Shashkov (J. Comput. Phys., 2021)

A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes. - Mack Kenamond; Dmitri Kuzmin; Mikhail J. Shashkov (J. Comput. Phys., 2021)

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

Bound-preserving and entropy-stable algebraic flux correction schemes for the shallow water equations with topography. - Hennes Hajduk; Dmitri Kuzmin (CoRR, 2022)

An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces. - Dmitri Kuzmin; Jan-Phillip Bäcker (J. Comput. Phys., 2022)

Bound-preserving Flux Limiting for High-Order Explicit Runge-Kutta Time Discretizations of Hyperbolic Conservation Laws. - Dmitri Kuzmin; Manuel Quezada de Luna; David I. Ketcheson; Johanna Grüll (J. Sci. Comput., 2022)

Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods. - Andrés M. Rueda-Ramírez; Benjamin Bolm; Dmitri Kuzmin; Gregor J. Gassner (CoRR, 2023)

Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems. - Dmitri Kuzmin; Mária Lukácová-Medvid'ová; Philipp Öffner (CoRR, 2023)

Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws. - Dmitri Kuzmin; Joshua Vedral (J. Comput. Phys., 2023)

An assessment of solvers for algebraically stabilized discretizations of convection-diffusion-reaction equations. - Abhinav Jha; Ondrej Pártl; Naveed Ahmed 004; Dmitri Kuzmin (J. Num. Math., 2023)

Optimal control using flux potentials: A way to construct bound-preserving finite element schemes for conservation laws. - Falko Ruppenthal; Dmitri Kuzmin (J. Comput. Appl. Math., 2023)

Strongly consistent low-dissipation WENO schemes for finite elements. - Joshua Vedral; Andreas Rupp; Dmitri Kuzmin (CoRR, 2024)

Locally energy-stable finite element schemes for incompressible flow problems: Design and analysis for equal-order interpolations. - Hennes Hajduk; Dmitri Kuzmin; Gert Lube; Philipp Öffner (CoRR, 2024)

Bound-preserving and entropy stable enriched Galerkin methods for nonlinear hyperbolic equations. - Dmitri Kuzmin; Sanghyun Lee; Yi-Yung Yang (CoRR, 2024)

Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations. - Petr Knobloch; Dmitri Kuzmin; Abhinav Jha (J. Comput. Phys., 2024)

Efficient numerical solution of the Fokker-Planck equation using physics-conforming finite element methods. - Katharina Wegener; Dmitri Kuzmin; Stefan Turek (J. Num. Math., 2024)

Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations. - Paul Moujaes; Dmitri Kuzmin (J. Comput. Phys., 2025)

Application of machine learning and convex limiting to subgrid flux modeling in the shallow-water equations. - Ilya Timofeyev; Alexey Schwarzmann; Dmitri Kuzmin (Math. Comput. Simul., 2025)

Gradient-penalty stabilization of sharp and diffuse interface formulations in unfitted Nitsche finite element methods. - Maxim A. Olshanskii; Jan-Phillip Bäcker; Dmitri Kuzmin (CoRR, 2025)

A Chimera domain decomposition method with weak Dirichlet-Robin coupling for finite element simulation of particulate flows. - Raphael Münster; Otto Mierka; Dmitri Kuzmin; Stefan Turek (CoRR, 2025)