Title :
Adaptive integral method for hybrid FE/BI modeling of 3D doubly periodic structures
Author :
Eibert, Thomas F. ; Volakis, J.L.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Abstract :
The application of hybrid finite element/boundary integral methods to infinite periodic structures (antennas or frequency selective surfaces) is very attractive. For large unit cell apertures there is a CPU and memory bottleneck. To alleviate this we present an acceleration and memory reduction scheme for the boundary integral (BI) portion of the hybrid FE/BI method. The approach is based on the adaptive integral method (AIM) and is adapted here to periodic structures. For the given problem, AIM results in low O(n/sub s/) storage and O(n/sub s/ logns) CPU time requirements for the execution of the matrix vector products in the applied iterative solver (n/sub s/=number of surface unknowns). The paper focuses especially on AIM issues related to infinite periodic structures. Also, we present CPU time and storage comparisons with the more conventional implementation of the FE/BI method.
Keywords :
antenna theory; boundary integral equations; electromagnetic wave reflection; finite element analysis; frequency selective surfaces; iterative methods; matrix algebra; periodic structures; 3D doubly periodic structures; CPU bottleneck; acceleration; adaptive integral method; antennas; frequency selective surfaces; hybrid FE/BI modeling; hybrid finite element/boundary integral methods; infinite periodic structures; iterative solver; large unit cell apertures; matrix vector products; memory bottleneck; memory reduction scheme; Acceleration; Bismuth; Finite element methods; Integral equations; Iron; Laboratories; Periodic structures; Phased arrays; Tiles; Transmission line matrix methods;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1998. IEEE
Conference_Location :
Atlanta, GA, USA
Print_ISBN :
0-7803-4478-2
DOI :
10.1109/APS.1998.690907