The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain

Franck Assous; Patrick Ciarlet; Emmanuelle Garcia

doi:10.1016/s0764-4442(00)00159-2

The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain

Titre traduit de la contribution: Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel

Franck Assous
, Patrick Ciarlet
, Emmanuelle Garcia

Centre d'Etudes de Limeil-Valenton

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

8 Citations (Scopus)

Résumé

In [3] and [2], we considered the numerical solution to the time-dependent Maxwell equations in the absence of charges in a 2D non-convex domain, using the so-called singular complement method (SCM), for which the computed fields are continuous. In this paper, we present an extension of the SCM, which allows to solve efficiently the time-dependent Maxwell equations with charges, with almost no additional computational cost. Thus, the numerical solution to the Vlasov-Maxwell system of equations can be achieved by coupling the SCM to a particle solver.

Titre traduit de la contribution	Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel
langue originale	Anglais
Pages (de - à)	391-396
Nombre de pages	6
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	330
Numéro de publication	5
Les DOIs	https://doi.org/10.1016/s0764-4442(00)00159-2
état	Publié - 1 mars 2000

Accès au document

10.1016/s0764-4442(00)00159-2

Contient cette citation

@article{8890d0f24f324e95af9aa31f374e66bc,

title = "The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain",

abstract = "In [3] and [2], we considered the numerical solution to the time-dependent Maxwell equations in the absence of charges in a 2D non-convex domain, using the so-called singular complement method (SCM), for which the computed fields are continuous. In this paper, we present an extension of the SCM, which allows to solve efficiently the time-dependent Maxwell equations with charges, with almost no additional computational cost. Thus, the numerical solution to the Vlasov-Maxwell system of equations can be achieved by coupling the SCM to a particle solver.",

author = "Franck Assous and Patrick Ciarlet and Emmanuelle Garcia",

year = "2000",

month = mar,

day = "1",

doi = "10.1016/s0764-4442(00)00159-2",

language = "English",

volume = "330",

pages = "391--396",

journal = "Comptes Rendus de l'Academie des Sciences - Series I: Mathematics",

issn = "0764-4442",

publisher = "Elsevier B.V.",

number = "5",

}

TY - JOUR

T1 - The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain

AU - Assous, Franck

AU - Ciarlet, Patrick

AU - Garcia, Emmanuelle

PY - 2000/3/1

Y1 - 2000/3/1

N2 - In [3] and [2], we considered the numerical solution to the time-dependent Maxwell equations in the absence of charges in a 2D non-convex domain, using the so-called singular complement method (SCM), for which the computed fields are continuous. In this paper, we present an extension of the SCM, which allows to solve efficiently the time-dependent Maxwell equations with charges, with almost no additional computational cost. Thus, the numerical solution to the Vlasov-Maxwell system of equations can be achieved by coupling the SCM to a particle solver.

AB - In [3] and [2], we considered the numerical solution to the time-dependent Maxwell equations in the absence of charges in a 2D non-convex domain, using the so-called singular complement method (SCM), for which the computed fields are continuous. In this paper, we present an extension of the SCM, which allows to solve efficiently the time-dependent Maxwell equations with charges, with almost no additional computational cost. Thus, the numerical solution to the Vlasov-Maxwell system of equations can be achieved by coupling the SCM to a particle solver.

U2 - 10.1016/s0764-4442(00)00159-2

DO - 10.1016/s0764-4442(00)00159-2

M3 - Article

AN - SCOPUS:0034147860

SN - 0764-4442

VL - 330

SP - 391

EP - 396

JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 5

ER -

The solution to the time-dependent Maxwell equations with charges in a 2D nonsmooth domain

Résumé

Accès au document

Empreinte digitale

Contient cette citation