8 citations · 8 across the 4 of their papers we have counts for
4 papers
DG = FEM + flat elements, Part I: Diffusion
Jiří Szotkowski, Václav Kučera, Chi-Wang Shu +4
We establish a simple, rigorous, and easy to implement connection between the classical continuous finite element method (FEM) and the discontinuous Galerkin (DG) method for Poisso…
Symplectic Error of Implicit Symplectic Integrators: A Qualitative Structural Analysis
Matěj Gajdoš, Ondřej Brichta, Václav Kučera
We study how inexact nonlinear solvers lead to a loss of exact symplecticity in the Symplectic Euler (SE) and Stormer-Verlet (SV) schemes when applied to general nonseparable Hamil…
The Tempered Finite Element Method
Antoine Quiriny, Václav Kučera, Jonathan Lambrechts +2
In this paper, we propose a new approach -- the Tempered Finite Element Method (TFEM) -- that extends the Finite Element Method (FEM) to classes of meshes that include zero-measure…
On necessary and sufficient conditions for finite element convergence
Václav Kučera
In this paper we derive a necessary condition for finite element method (FEM) convergence in as well as generalize known sufficient conditions. We deal with the piecewise…