AN ASYMPTOTIC EXPANSION FOR LARGE CONDUCTIVITY OF THE ELECTRICAL FIELD AND ITS CONVERGENCE
OSPINO PORTILLO JORGE ELIECER *
Divisi´on de Ciencias B´asicas, Departamento de Matem´aticas y Estad´ıstica, Universidad del Norte, Barranquilla, Colombia.
*Author to whom correspondence should be addressed.
The object of this work consists in calculating the terms of an asymptotic expansion of the electrical field and its convergence, to solve the electromagnetic transmission problem. Here we use the techniques of multi-scale expansion, coupled with a process of resolution of the transmission problems.
Keywords: Asymptotic expansion, large conductivity, electric field, convergence