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Mathematical tools for electromagnetic modelling under realistic assumptions (Articolo in rivista)

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Mathematical tools for electromagnetic modelling under realistic assumptions (Articolo in rivista) (literal)

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Fernandes P. (1) (2002)
Mathematical tools for electromagnetic modelling under realistic assumptions
in IEEE transactions on magnetics
(literal)

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Il lavoro descrive strumenti di analisi funzionale appositamente generalizzati per poter dare una trattazione rigorosa sotto ipotesi realistiche ai modelli matematici usati in elettromagnetismo computazionale, senza dover far ricorso, come spesso avviene, a ipotesi eccessivamente restrittive che rendono poi il risultato non applicabile nella maggior parte delle situazioni di reale intersse applicativo. La correttezza matematica degli strumenti in questione e della loro applicazione ai modelli dellelettromagnetismo computazionale è supportata dalla loro precedente pubblicazione su quotate riviste matematiche (vedi references [7-10]). Nel presente lavoro se ne vuole evidenziare limpatto applicativo in un intento di cross-fertilization tra i settori matematico e ingegneristico, costantemente perseguita dallautore. La sede di pubblicazione e tra le più quotate del settore. Impact Factor rivista: 1.016 (literal)

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Orthogonal decompositions and related results provide the framework in which electromagnetics naturally fits but are proved under restrictive assumptions that often are not fulfilled in real applications. Hence, only in fairly simple situations, a sound theoretical basis can be given to the mathematical models of computational electromagnetics, even though they are used in general applications. In this paper, similar mathematical tools that hold under more realistic assumptions, tuned to cover very many cases of practical interest, are given. These tools provide a suitable framework for models involving different inhomogeneous anisotropic materials, boundary and interfaces with edges and vertices, mixed boundary conditions, and topologically nontrivial configurations. How easily the proposed tools can be applied to rigorously prove the correctness of some basic models of electromagnetics under realistic assumptions is also shown. (literal)

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Titolo

Mathematical tools for electromagnetic modelling under realistic assumptions (literal)

Abstract

Orthogonal decompositions and related results provide the framework in which electromagnetics naturally fits but are proved under restrictive assumptions that often are not fulfilled in real applications. Hence, only in fairly simple situations, a sound theoretical basis can be given to the mathematical models of computational electromagnetics, even though they are used in general applications. In this paper, similar mathematical tools that hold under more realistic assumptions, tuned to cover very many cases of practical interest, are given. These tools provide a suitable framework for models involving different inhomogeneous anisotropic materials, boundary and interfaces with edges and vertices, mixed boundary conditions, and topologically nontrivial configurations. How easily the proposed tools can be applied to rigorously prove the correctness of some basic models of electromagnetics under realistic assumptions is also shown. (literal)

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