3 papers
math.NA2026
The Tempered Finite Element Method
Antoine Quiriny, Václav KuÄera, 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…
math.NA2026
DG = FEM + flat elements, Part I: Diffusion
JiÅà Szotkowski, Václav KuÄera, 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…
math.NA2026
Symplectic Error of Implicit Symplectic Integrators: A Qualitative Structural Analysis
MatÄj GajdoÅ¡, OndÅej Brichta, Václav KuÄera
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…