A priori error estimate and control in the eigencurrent expansion method applied to linear embedding via Green´s operators (LEGO)

Linear embedding via Green´s operators (LEGO) [1,2] is a domain decomposition method in which the electromagnetic scattering by an aggregate of Np bodies (immersed in a homogeneous background medium) is tackled by enclosing each object within an arbitrarily-shaped bounded domain T>k (brick), k = 1,... ,Nd (e.g., see Fig. 1). The bricks are characterized electromagnetically by means of scattering operators Skk, which are subsequently combined to form the total inverse scattering operator S_1 of the structure [1]. Finally, we use the eigencurrent expansion method.