Author_Institution :
Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA
Abstract :
The paper presents an efficient finite element based domain decomposition method (DDM) (Benamou, J-D and Despre`s, B., J Comput. Phys., vol.136, p.68-82. 1997; Stupfel, B. and Mognot, M., IEEE Trans. Antennas Propagat., vol.48, p.653-60, 2000) for the analysis of large electromagnetic problems with a finite number of different building blocks. Such problems arise in important engineering applications such as antenna arrays, frequency selective surfaces, photonic crystals and metamaterials. The method is general enough to analyze arbitrary geometries. The proposed method is based on three key ingredients: (a) the optimized Robin transmission condition across interfaces; (b) the new mortar method for nonconforming triangulations; (c) a fast dual-primal finite element tearing and interconnecting (DP-FETI) algorithm similar to that of Wolfe, C.T. et al. (see IEEE Trans. Antennas Propagat., vol.48, no.2, p.278-84, 2000).
Keywords :
computational electromagnetics; finite element analysis; FEM; Robin transmission condition; antenna arrays; dual-primal finite element tearing-and-interconnecting algorithm; finite element based method; frequency selective surfaces; large EM problems; large electromagnetic problems; metamaterials; mortar method; nonconforming domain decomposition method; nonconforming triangulation; photonic crystals; Antenna arrays; Antennas and propagation; Distributed decision making; Electromagnetic analysis; Electromagnetic propagation; Finite element methods; Frequency selective surfaces; Geometry; Metamaterials; Photonic crystals;
