83 citations · 224 across the 37 of their papers we have counts for
5 papers · 2 filters
Bound-preserving and entropy stable enriched Galerkin methods for nonlinear hyperbolic equations
Dmitri Kuzmin, Sanghyun Lee, Yi-Yung Yang
In this paper, we develop monolithic limiting techniques for enforcing nonlinear stability constraints in enriched Galerkin (EG) discretizations of nonlinear scalar hyperbolic equa…
Locally energy-stable finite element schemes for incompressible flow problems: Design and analysis for equal-order interpolations
Hennes Hajduk, Dmitri Kuzmin, Gert Lube +1
We show that finite element discretizations of incompressible flow problems can be designed to ensure preservation/dissipation of kinetic energy not only globally but also locally.…
Strongly consistent low-dissipation WENO schemes for finite elements
Joshua Vedral, Andreas Rupp, Dmitri Kuzmin
We propose a way to maintain strong consistency and facilitate error analysis in the context of dissipation-based WENO stabilization for continuous and discontinuous Galerkin discr…
Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations
Paul Moujaes, Dmitri Kuzmin
In this work, we use the monolithic convex limiting (MCL) methodology to enforce relevant inequality constraints in implicit finite element discretizations of the compressible Eule…
Well-balanced convex limiting for finite element discretizations of steady convection-diffusion-reaction equations
Petr Knobloch, Dmitri Kuzmin, Abhinav Jha
We address the numerical treatment of source terms in algebraic flux correction schemes for steady convection-diffusion-reaction (CDR) equations. The proposed algorithm constrains…