83 citations · 224 across the 37 of their papers we have counts for
6 papers · 2 filters
A structure-preserving Lagrangian discontinuous Galerkin method using flux and slope limiting
Joshua Vedral, Nathaniel Morgan, Dmitri Kuzmin +1
We introduce a Lagrangian nodal discontinuous Galerkin (DG) cell-centered hydrodynamics method for solving multi-dimensional hyperbolic systems. By incorporating an adaptation of Z…
Asymptotic-preserving conservative semi-Lagrangian discontinuous Galerkin schemes for the Vlasov-Poisson system in the quasi-neutral limit
Xiaofeng Cai, Linghui Kong, Dmitri Kuzmin +1
We discretize the Vlasov-Poisson system using conservative semi-Lagrangian (CSL) discontinuous Galerkin (DG) schemes that are asymptotic preserving (AP) in the quasi-neutral limit.…
Realizability-preserving monolithic convex limiting in continuous Galerkin discretizations of the M1 model of radiative transfer
Paul Moujaes, Dmitri Kuzmin, Christian Bäumer
We discretize the model of radiative transfer using continuous finite elements and propose a tailor-made monolithic convex limiting (MCL) procedure for enforcing physical rea…
An element-based convex limiting framework for continuous Galerkin methods with nonlinear stabilization
Dmitri Kuzmin, Hennes Hajduk, Joshua Vedral
We equip a high-order continuous Galerkin discretization of a general hyperbolic problem with a nonlinear stabilization term and introduce a new methodology for enforcing preservat…
A Chimera domain decomposition method with weak Dirichlet-Robin coupling for finite element simulation of particulate flows
Raphael Münster, Otto Mierka, Dmitri Kuzmin +1
We introduce a new multimesh finite element method for direct numerical simulation of incompressible particulate flows. The proposed approach falls into the category of overlapping…
Projected gradient stabilization of sharp and diffuse interface formulations in unfitted Nitsche finite element methods
Maxim Olshanskii, Jan-Phillip Bäcker, Dmitri Kuzmin
We introduce an unfitted Nitsche finite element method with a new ghost-penalty stabilization based on local projection of the solution gradient. The proposed ghost-penalty operato…