Finite-Element Domain Decomposition Methods for Analysis of Large-Scale Electromagnetic Problems

This paper presents an overview of our recent development of domain decomposition methods for finite element analysis of large-scale electromagnetic problems. More specifically, it presents several domain decomposition algorithms based on the Dual-Primal Finite Element Tearing Interconnecting (FETI-DP) method for solving vector wave equations. These algorithms expand the capability and improve the performance of the FETI-DP method by: (1) lifting the requirement of conformal meshes on subdomain interfaces, (2) speeding up the convergence of the iterative solution of the global interface problem, and (3) incorporating appropriate truncation boundaries for more accurate simulation. Numerical results are presented to demonstrate the application, accuracy, efficiency, and capability of these algorithms.