Applied Mathematics

Faculty of Mathematics

TU Dortmund University

Email: Dmitri Kuzmin

Tel. +49 0231 755 3461

Personal Website

Research field: Modelling & Simulation

- An FCT finite element scheme for ideal MHD equations in 1D and 2D
Basting, M. and Kuzmin, D.

JOURNAL OF COMPUTATIONAL PHYSICS Volume: 338 (2017) - Anisotropic slope limiting for discontinuous Galerkin methods
Aizinger, V. and Kosík, A. and Kuzmin, D. and Reuter, B.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2017) - Gradient-based nodal limiters for artificial diffusion operators in finite element schemes for transport equations
Kuzmin, D. and Shadid, J.N.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2017) - High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation
Anderson, R. and Dobrev, V. and Kolev, T. and Kuzmin, D. and Quezada de Luna, M. and Rieben, R. and Tomov, V.

JOURNAL OF COMPUTATIONAL PHYSICS Volume: 334 (2017) - Embedded discontinuous Galerkin transport schemes with localised limiters
Cotter, C.J. and Kuzmin, D.

JOURNAL OF COMPUTATIONAL PHYSICS Volume: 311 (2016) - Optimal control for reinitialization in finite element level set methods
Basting, C. and Kuzmin, D. and Shadid, J.N.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2016) - Synchronized flux limiting for gas dynamics variables
Lohmann, C. and Kuzmin, D.

JOURNAL OF COMPUTATIONAL PHYSICS Volume: 326 (2016) - Analysis of a combined CG1-DG2 method for the transport equation
Becker, R. and Bittl, M. and Kuzmin, D.

SIAM JOURNAL ON NUMERICAL ANALYSIS Volume: 53 (2015) - Scale separation in fast hierarchical solvers for discontinuous Galerkin methods
Aizinger, V. and Kuzmin, D. and Korous, L.

APPLIED MATHEMATICS AND COMPUTATION Volume: 266 (2015) - A conservative, positivity preserving scheme for reactive solute transport problems in moving domains
Mabuza, S. and Kuzmin, D. and Čanić, S. and Bukač, M.

JOURNAL OF COMPUTATIONAL PHYSICS Volume: 276 (2014) - A nonlinear ALE-FCT scheme for non-equilibrium reactive solute transport in moving domains
Mabuza, S. and Kuzmin, D.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Volume: 76 (2014) - An optimization-based approach to enforcing mass conservation in level set methods
Kuzmin, D.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 258 (2014) - Finite element simulation of three-dimensional particulate flows using mixture models
Gorb, Y. and Mierka, O. and Rivkind, L. and Kuzmin, D.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 270 (2014) - Hierarchical slope limiting in explicit and implicit discontinuous Galerkin methods
Kuzmin, D.

JOURNAL OF COMPUTATIONAL PHYSICS Volume: 257 (2014) - Optimal control for mass conservative level set methods
Basting, C. and Kuzmin, D.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 270 (2014) - The CG1-DG2 method for convection-diffusion equations in 2D
Bittl, M. and Kuzmin, D. and Becker, R.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 270 (2014) - The reference solution approach to hp-adaptivity in finite element flux-corrected transport algorithms
Bittl, M. and Kuzmin, D.

LECTURE NOTES IN COMPUTER SCIENCE (INCLUDING SUBSERIES LECTURE NOTES IN ARTIFICIAL INTELLIGENCE AND LECTURE NOTES IN BIOINFORMATICS) Volume: 8353 LNCS (2014) - A minimization-based finite element formulation for interface-preserving level set reinitialization
Basting, C. and Kuzmin, D.

COMPUTING Volume: 95 (2013) - A parameter-free smoothness indicator for high-resolution finite element schemes
Kuzmin, D. and Schieweck, F.

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS Volume: 11 (2013) - A positivity-preserving finite element method for chemotaxis problems in 3D
Strehl, R. and Sokolov, A. and Kuzmin, D. and Horstmann, D. and Turek, S.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 239 (2013) - An hp-adaptive flux-corrected transport algorithm for continuous finite elements
Bittl, M. and Kuzmin, D.

COMPUTING Volume: 95 (2013) - Numerical study of a high order 3D FEM-level set approach for immiscible flow simulation
Turek, S. and Mierka, O. and Hysing, S. and Kuzmin, D.

COMPUTATIONAL METHODS IN APPLIED SCIENCES Volume: 27 (2013) - Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis
Kuzmin, D.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Volume: 71 (2013) - A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions
Kuzmin, D. and Gorb, Y.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 236 (2012) - Implicit finite element schemes for the stationary compressible Euler equations
Gurris, M. and Kuzmin, D. and Turek, S.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Volume: 69 (2012) - Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes
Kuzmin, D.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 236 (2012) - A Newton-like finite element scheme for compressible gas flows
Gurris, M. and Kuzmin, D. and Turek, S.

COMPUTERS AND FLUIDS Volume: 46 (2011) - A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains
Boiarkine, O. and Kuzmin, D. and Čanić, S. and Guidoboni, G. and Mikelić, A.

JOURNAL OF COMPUTATIONAL PHYSICS Volume: 230 (2011) - Erratum: Particle behavior during the arc spraying process with cored wires (Journal of Thermal Spray Technology DOI: 10.1007/s11666-008-9272-3)
Tillmann, W. and Vogli, E. and Abdulgader, M. and Gurris, M. and Kuzmin, D. and Turek, S.

JOURNAL OF THERMAL SPRAY TECHNOLOGY Volume: 20 (2011) - Implicit finite element schemes for stationary compressible particle-laden gas flows
Gurris, M. and Kuzmin, D. and Turek, S.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 235 (2011) - Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics
Bayraktar, E. and Mierka, O. and Platte, F. and Kuzmin, D. and Turek, S.

COMPUTERS AND CHEMICAL ENGINEERING Volume: 35 (2011) - A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods
Kuzmin, D.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 233 (2010) - Failsafe flux limiting and constrained data projections for equations of gas dynamics
Kuzmin, D. and Möller, M. and Shadid, J.N. and Shashkov, M.

JOURNAL OF COMPUTATIONAL PHYSICS Volume: 229 (2010) - Finite element simulation of compressible particle-laden gas flows
Gurris, M. and Kuzmin, D. and Turek, S.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 233 (2010) - Goal-oriented a posteriori error estimates for transport problems
Kuzmin, D. and Korotov, S.

MATHEMATICS AND COMPUTERS IN SIMULATION Volume: 80 (2010) - Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems
Kuzmin, D. and Möller, M.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 233 (2010) - Preface
Solin, P. and Kuzmin, D. and Svyatskiy, D. and Slodička, M.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS Volume: 233 (2010)