Finite Element Hodge for spline discrete differential forms. Application to the Vlasov–Poisson system

Author:

Back Aurore,Sonnendrücker Eric

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference23 articles.

1. A. Back, E. Sonnendrücker, Discrete differential forms based on B-splines, Applications to Maxwell's equations, submitted for publication.

2. Etude théorique et numérique des équations de Vlasov–Maxwell dans le formalisme covariant;Back,2011

3. Mathematical Methods of Classical Mechanics;Arnold,1976

4. Finite element exterior calculus, homological techniques, and applications;Arnold;Acta Numer.,2006

5. Convergence of classes of high-order semi-Lagrangian schemes for the Vlasov–Poisson system;Besse;Math. Comput.,2008

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1. High Order Geometric Methods With Splines: An Analysis of Discrete Hodge-Star Operators;SIAM Journal on Scientific Computing;2022-11-22

2. Hamiltonian Particle-in-Cell methods for Vlasov–Poisson equations;Journal of Computational Physics;2022-10

3. Highly accurate monotonicity-preserving Semi-Lagrangian scheme for Vlasov-Poisson simulations;Journal of Computational Physics;2021-12

4. A review of some geometric integrators;Advanced Modeling and Simulation in Engineering Sciences;2018-06-13

5. Metriplectic integrators for the Landau collision operator;Physics of Plasmas;2017-10

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