Adaptive integral method for hybrid FE/BI modelling of 3-D doubly periodic structures

The adaptive integral method (AIM) is applied to accelerate the boundary integral (BI) portion of a hybrid finite element BI approach for the electromagnetic analysis of three-dimensional doubly periodic structures. Starting from the conventional mixed potential integral equation formulation, AIM is derived using Taylor series expansions for the involved coupling integrals. Implementation issues are discussed that relate to the periodic formulation, and central processing unit timings/memory requirements are given and compared to the conventional BI implementation