Concept
Poisson manifold
Related publications (71)
FENNECS: a novel particle-in-cell code for simulating the formation of magnetized non-neutral plasmas trapped by electrodes of complex geometries
Stefano Alberti, Jean-Philippe Hogge, Joaquim Loizu Cisquella, Jérémy Genoud, Francesco Romano
This paper presents the new 2D electrostatic particle-in-cell code FENNECS de- veloped to study the formation of magnetized non-neutral plasmas in geometries with azimuthal symmetry. This code has been developed in the domain of gy- rotron electron gun des ...
2024High-order geometric integrators for the variational Gaussian approximation
Jiri Vanicek, Roya Moghaddasi Fereidani
Among the single-trajectory Gaussian-based methods for solving the time-dependent Schrödinger equation, the variational Gaussian approximation is the most accurate one. In contrast to Heller’s original thawed Gaussian approximation, it is symplectic, conse ...
2023Homogenization results for the generator of multiscale Langevin dynamics in weighted Sobolev spaces
We study the homogenization of the Poisson equation with a reaction term and of the eigenvalue problem associated to the generator of multiscale Langevin dynamics. Our analysis extends the theory of two-scale convergence to the case of weighted Sobolev spa ...
OXFORD UNIV PRESS2023Rank-adaptive structure-preserving model order reduction of Hamiltonian systems
Jan Sickmann Hesthaven, Nicolò Ripamonti, Cecilia Pagliantini
This work proposes an adaptive structure-preserving model order reduction method for finite-dimensional parametrized Hamiltonian systems modeling non-dissipative phenomena. To overcome the slowly decaying Kolmogorov width typical of transport problems, the ...
EDP SCIENCES S A2022Analysis-aware defeaturing of complex geometries
Pablo Antolin Sanchez, Ondine Gabrielle Chanon
Local modifications of a computational domain are often performed in order to simplify the meshing process and to reduce computational costs and memory requirements. However, removing geometrical features of a domain often introduces a non-negligible error ...
2022Generalised Howe duality and injectivity of induction: the symplectic case
We study the symplectic Howe duality using two new and independent combinatorial methods: via determinantal formulae on the one hand, and via (bi)crystals on the other hand. The first approach allows us to establish a generalised version where weight multi ...
2022Analysis-aware defeaturing: Problem setting and a posteriori estimation
Annalisa Buffa, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon
Defeaturing consists in simplifying geometrical models by removing the geometrical features that are considered not relevant for a given simulation. Feature removal and simplification of computer-aided design models enables faster simulations for engineeri ...
2022Structure-Preserving Reduced Basis Methods For Poisson Systems
Jan Sickmann Hesthaven, Cecilia Pagliantini
We develop structure-preserving reduced basis methods for a large class of nondissipative problems by resorting to their formulation as Hamiltonian dynamical systems. With this perspective, the phase space is naturally endowed with a Poisson manifold struc ...
AMER MATHEMATICAL SOC2021Scattering Map for the Vlasov–Poisson System
We construct (modified) scattering operators for the Vlasov–Poisson system in three dimensions, mapping small asymptotic dynamics as t→−∞ to asymptotic dynamics as t→+∞. The main novelty is the construction of modified wave operators, but we also obtain a ...
2021Stability of a Point Charge for the Vlasov–Poisson System: The Radial Case
We consider the Vlasov–Poisson system with repulsive interactions. For initial data a small, radial, absolutely continuous perturbation of a point charge, we show that the solution is global and disperses to infinity via a modified scattering along traject ...
2021