GENERALIZED FORMULATIONS OF MAXWELL'S EQUATIONS FOR NUMERICAL VLASOV–MAXWELL SIMULATIONS-Reference-Cited by-同舟云学术

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

Published:2007-05 Issue:05 Volume:17 Page:657-680
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BARTHELMÉ RÉGINE¹,CIARLET PATRICK²,SONNENDRÜCKER ERIC¹

Affiliation:

1. IRMA, 7, rue René Descartes, F-67084 Strasbourg Cedex, France

2. Laboratoire POEMS, UMR 2706 CNRS/ENSTA/INRIA, École Nationale Supérieure de Techniques Avancées, 32, boulevard Victor, 75739 Paris Cedex 15, France

Abstract

When solving numerically approximations of the Vlasov–Maxwell equations, the source terms in Maxwell's equations coming from the numerical solution of the Vlasov equation do not generally satisfy the continuity equation which is required for Maxwell's equations to be well-posed. Hence it is necessary to introduce generalized Maxwell's equations which remain well-posed when there are errors in the sources. Different such formulations have been introduced previously. The aim of this paper is to perform their mathematical analysis and verify the existence and uniqueness of the solution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202507002066

Reference12 articles.

1. Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain

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3. Plasma Physics via Computer Simulation

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