Analysis of 3D scattering problems using finite elements and exact boundary conditions

Abstract

Presents a new method to compute simultaneously the near and the far field in electromagnetic 3D scattering problems. In this approach a bounded spherical domain contains all the inhomogeneous objects and divides the whole space into two different regions. In both regions the field is expressed as a linear expansion with the same unknown coefficients. Gives the field as an exact infinite expansion of vector spherical harmonics in the outer region. Computes the basis functions using finite elements in the inner region. Finally, obtains the coefficients of the two expansions by matching the inner and the outer fields on the spherical interface.

Citation

Saadi, A. and Pichon, L. (1996), "Analysis of 3D scattering problems using finite elements and exact boundary conditions", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 15 No. 4, pp. 48-62. https://doi.org/10.1108/03321649610154212