Affiliation:
1. Laboratoire d'ingénierie Mathématiques LIM et Faculté des Sciences Ecole Polytechnique de Tunisie Bizerte Tunisia
2. Département de Mathématiques Université des Sciences de Bizerte Tunis Tunisia
Abstract
AbstractIn this paper, we derive high‐order terms in the asymptotic expansions of the boundary perturbations for the electric field by taking into account of highly oscillating perturbations of an inhomogeneity with regular boundary. We show then that the asymptotic expansions depend on some parameter γ, that describes the depth of irregularity. Our study is rigorous and is founded on Field expansion method.
Subject
Applied Mathematics,Computational Mechanics