Numerical approximation of 3D particle beams by multi-scale paraxial Vlasov-Maxwell equations

DOI10.1016/j.jcp.2023.112186OpenAlexW4367672231MaRDI QIDQ6162851

Yevgeni Furman, Franck Assous

Publication date: 16 June 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112186

zbMATH Keywords

asymptotic methodsVlasov-Maxwell equationsparaxial approximationparticle-in-cell numerical schemes

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) General topics in optics and electromagnetic theory (78Axx)

Cites Work

• Numerical paraxial approximation for highly relativistic beams
• A PIC method for solving a paraxial model of highly relativistic beams
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• On a finite-element method for solving the three-dimensional Maxwell equations
• Paraxial approximation of ultrarelativistic intense beams
• Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space
• Mathematical foundations of computational electromagnetism
• The ARCTIC charged particle beam propagation code
• A finite element formulation of the Darwin PIC model for use on unstructured grids
• A hierarchy of approximate models for the Maxwell equations
• Multi-scale paraxial models to approximate Vlasov-Maxwell equations
• Conservative semi-Lagrangian schemes for Vlasov equations
• A paraxial asymptotic model for the coupled Vlasov-Maxwell problem in electromagnetics
• ON THE PARAXIAL APPROXIMATION OF THE STATIONARY VLASOV-MAXWELL SYSTEM
• An analysis of the Darwin model of approximation to Maxwell’s equations
• PARAXIAL APPROXIMATION OF THE VLASOV-MAXWELL SYSTEM: LAMINAR BEAMS
• New development in freefem++
• MODELING AND NUMERICAL SIMULATION OF SPACE CHARGE DOMINATED BEAMS IN THE PARAXIAL APPROXIMATION
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical approximation of 3D particle beams by multi-scale paraxial Vlasov-Maxwell equations