5 citations · 13 across the 3 of their papers we have counts for
3 papers
math.NA2023★ 4 cited
Monolithic Convex Limiting for Legendre-Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods
Andrés M Rueda-Ramírez, Benjamin Bolm, Dmitri Kuzmin +1
We extend the monolithic convex limiting (MCL) methodology to nodal discontinuous Galerkin spectral element methods (DGSEM). The use of Legendre-Gauss-Lobatto (LGL) quadrature endo…
math.NA2022★ 5 cited
Bound-preserving and entropy-stable algebraic flux correction schemes for the shallow water equations with topography
Hennes Hajduk, Dmitri Kuzmin
A well-designed numerical method for the shallow water equations (SWE) should ensure well-balancedness, nonnegativity of water heights, and entropy stability. For a continuous fini…
math.NA2021★ 4 cited
An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces
Dmitri Kuzmin, Jan-Phillip Bäcker
We explore a new way to handle flux boundary conditions imposed on level sets. The proposed approach is a diffuse interface version of the shifted boundary method (SBM) for continu…