GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV–MAXWELL SIMULATIONS

DOI10.1142/S0218202507002066zbMath1134.35103MaRDI QIDQ5297211

Régine Barthelmé, Eric Sonnendrücker, Patrick~jun. Ciarlet

Publication date: 18 July 2007

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessMaxwell's equationsVlasov-Maxwell equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Motion of charged particles (78A35) Boundary value problems for linear first-order PDEs (35F15)

Related Items (10)

Convergence analysis of Nédélec finite element approximations for a stationary Maxwell’s system ⋮ MATHEMATICAL STUDY OF A HYPERBOLIC REGULARIZATION TO ENSURE GAUSS' LAW CONSERVATION IN MAXWELL–VLASOV APPLICATIONS ⋮ Asymptotic-preserving methods and multiscale models for plasma physics ⋮ Asymptotic-preserving particle-in-cell methods for the Vlasov-Maxwell system in the quasi-neutral limit ⋮ An asymptotic-preserving and energy-conserving particle-in-cell method for Vlasov–Maxwell equations ⋮ On a connection between the Maxwell system, the extended Maxwell system, the Dirac operator and gravito-electromagnetism ⋮ A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem ⋮ Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries ⋮ Handling the divergence constraints in Maxwell and Vlasov-Maxwell simulations ⋮ NUMERICAL ANALYSIS OF THE GENERALIZED MAXWELL EQUATIONS (WITH AN ELLIPTIC CORRECTION) FOR CHARGED PARTICLE SIMULATIONS

Cites Work

• A method for incorporating Gauss' law into electromagnetic PIC codes
• On a finite-element method for solving the three-dimensional Maxwell equations
• Divergence correction techniques for Maxwell solvers based on a hyperbolic model
• Finite Element Methods for Navier-Stokes Equations
• Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
• Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain
• Maxwell's equations when the charge conservation is not satisfied

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