A MATHEMATICAL JUSTIFICATION OF THE LOW-FREQUENCY HETEROGENEOUS TIME-HARMONIC MAXWELL EQUATIONS-Reference-Cited by-同舟云学术

A MATHEMATICAL JUSTIFICATION OF THE LOW-FREQUENCY HETEROGENEOUS TIME-HARMONIC MAXWELL EQUATIONS

Published:1999-04 Issue:03 Volume:09 Page:475-489
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

ALONSO ANA¹

Affiliation:

1. Dipartimento di Matematica, Università di Trento, via Sommarive, 38050 Povo (Trento), Italy

Abstract

This paper deals with the low-frequency model for the time-harmonic Maxwell equations in a heterogeneous medium which behaves like a conductor in one part and a perfect insulator in the other. The model is justified comparing the solution with the one given by the high-frequency heterogeneous model. A bound for the norm of the difference in terms of the frequency is given. It is also proven that the solution of the heterogeneous problem is the limit of the solutions of problems in a conductor with conductivity that tends to zero in a part of the medium.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202599000245

Reference6 articles.

1. Some remarks on the characterization of the space of tangential traces ofH(rot;Ω) and the construction of an extension operator

2. A domain decomposition approach for heterogeneous time-harmonic Maxwell equations

3. A variational approach for the vector potential formulation of the Stokes and Navier-Stokes problems in three dimensional domains

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