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math.NA2026
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…
math.NA2026
-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…