MATHEMATICAL STUDY OF A HYPERBOLIC REGULARIZATION TO ENSURE GAUSS' LAW CONSERVATION IN MAXWELL–VLASOV APPLICATIONS

DOI10.1142/S0218202511500205zbMath1251.35160OpenAlexW2103695095MaRDI QIDQ2905296

Vincent Mouysset, Á. D. Rodríguez-Arós, Bruno Fornet

Publication date: 27 August 2012

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

Full work available at URL: https://doi.org/10.1142/s0218202511500205

zbMATH Keywords

asymptotic behaviorboundary conditionscharge conservationhyperbolic regularizationaugmented formulation of Maxwell's equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Vlasov equations (35Q83) Maxwell equations (35Q61)

Related Items (1)

Initial and boundary conditions for hyperbolic divergence cleaning for Maxwell's solvers

Cites Work

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• 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
• Maxwell's equations when the charge conservation is not satisfied
• GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV–MAXWELL SIMULATIONS

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