69 citations · 229 across the 40 of their papers we have counts for
45 papers
Hypocoercivity-preserving space-time Galerkin methods for kinetic Fokker-Planck equations
Zhaonan Dong, Emmanuil H. Georgoulis
We design and analyse a family of hypocoercivity-preserving fully discrete Galerkin methods for the (inhomogeneous) kinetic Fokker--Planck (kFP) equations, a class of evolution PDE…
-Version robust interior penalty discontinuous Galerkin methods for the -Laplacian on simplicial and on essentially arbitrarily-shaped element meshes
Emmanuil H. Georgoulis, Panagiotis Paraschis
We consider the discretization of the -Laplacian equation with an interior penalty discontinuous Galerkin method. We prove novel trace-type inverse estimates, leading to uncondi…
A nodally bound-preserving composite discontinuous Galerkin method on polytopic meshes
Abdolreza Amiri, Gabriel R. Barrenechea, Emmanuil H. Georgoulis +1
We introduce a nodally bound-preserving Galerkin method for second-order elliptic problems on general polygonal/polyhedral, henceforth collectively termed as \emph{polytopic}, mesh…
A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation
Zhaonan Dong, Emmanuil H. Georgoulis, Lorenzo Mascotto +1
We establish rigorous \emph{a posteriori} error bounds for a space-time finite element method of arbitrary order discretising linear wave problems in second order formulation. The…
Parallel Nodal Interior-Penalty Discontinuous Galerkin Methods for the Subsonic Compressible Navier-Stokes Equations: Applications to Vortical Flows and VIV Problems
Spiros Zafeiris, Emmanuil H. Georgoulis, George Papadakis
We present a Discontinuous Galerkin (DG) solver for the compressible Navier-Stokes system, designed for applications of technological and industrial interest in the subsonic region…
Space-time finite element methods for nonlinear wave equations via elliptic regularisation
Lehel Banjai, Emmanuil H. Georgoulis, Brian Hennessy
We present and analyse a new conforming space-time Galerkin discretisation of a semi-linear wave equation, based on a variational formulation derived from De Giorgi's elliptic regu…