http://www.cnr.it/ontology/cnr/individuo/prodotto/ID30970

Weak and strong formulations for the time-harmonic eddy-current problem in general domains (Articolo in rivista)

Type

Label

Weak and strong formulations for the time-harmonic eddy-current problem in general domains (Articolo in rivista) (literal)

Anno

Alternative label

Alonso Rodriguez A. (1), Fernandes P. (2), Valli A. (3) (2003)
Weak and strong formulations for the time-harmonic eddy-current problem in general domains
in European journal of applied mathematics (Print)
(literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

Pagina inizio

Pagina fine

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#altreInformazioni

Il lavoro mostra per la prima volta che in presenza di conduttori molteplicemente connessi la classica formulazione forte in termini del campo magnetico H dei problemi di eddy currents deve essere integrata con una nuova ulteriore condizione di interfaccia in forma integrale che è essenziale per lesistenza di un campo elettrico che soddisfi contemporaneamente la legge di Ampère nel conduttore e la legge di Faraday ovunque. Viene anche mostrato che tale condizione risulta automaticamente soddisfatta se nella formulazione forte classica vengono introdotti potenziali vettori o se si usa la formulazione debole. Il risultato rimane comunque rilevante per i metodi che fanno direttamente uso della formulazione forte in campo magnetico. CIT Articolo = 1 - Impact Factor rivista: 0.985 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

Rivista

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#descrizioneSinteticaDelProdotto

The eddy-current problem for the time-harmonic Maxwell equations in domains and with conductors of general topology is considered. The existence of a unique magnetic field is proved for a suitable weak formulation. An equivalent strong formulation is then derived, where the conditions related to the specific geometry of the domain are made explicit. In particular, a new condition that must be satisfied by the magnetic field on the interface between a multiply-connected conductor and the non-conducting region is determined. Finally, the strong formulation of the problem for the electric field in the non-conducting region is derived, and the existence of a unique solution is proved. In conclusion, this leads to the determination of the complete set of equations describing the eddy-current problem in terms of the magnetic and the electric fields. Whether some commonly-used formulations satisfy the additional condition on the interface is also checked. (literal)

Note

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

Titolo

Weak and strong formulations for the time-harmonic eddy-current problem in general domains (literal)

Abstract

The eddy-current problem for the time-harmonic Maxwell equations in domains and with conductors of general topology is considered. The existence of a unique magnetic field is proved for a suitable weak formulation. An equivalent strong formulation is then derived, where the conditions related to the specific geometry of the domain are made explicit. In particular, a new condition that must be satisfied by the magnetic field on the interface between a multiply-connected conductor and the non-conducting region is determined. Finally, the strong formulation of the problem for the electric field in the non-conducting region is derived, and the existence of a unique solution is proved. In conclusion, this leads to the determination of the complete set of equations describing the eddy-current problem in terms of the magnetic and the electric fields. Whether some commonly-used formulations satisfy the additional condition on the interface is also checked. (literal)

Prodotto di