Heterogeneous time-harmonic Maxwell equations in bidimensional domains

This note deals with the low-frequency time-harmonic Maxwell equations for a het erogeneous media in bidimensional bounded domains, We propose a three step method to solve this problem. First, we construct an extension of the boundary data solving a scalar Neumann problem for the Laplace operator. S econd, we solve a problem in the conductor with all unusual boundary condit ion of nonlocal type. Third, we solve a boundary value problem in the insul ator using the solution calculated in the conductor. Also, this third probl em can be reduced to a Neumann problem for the Laplace operator. (C) 2001 E lsevier Science Ltd. Ail rights reserved.