Parallel FETI-DP for Efficient EM Analysis of General Objects and Antenna Arrays

An efficient parallelization of the dual-primal finite-element tearing and interconnecting algorithm (FETI-DP) is presented for large-scale electromagnetic simulations. To reduce global reductions, iterative solvers with an iterating classical Gram-Schmidt (ICGS) scheme and a communication-avoiding (CA) approach are respectively implemented for the interface problem and the coarse corner problem. Based on the sparse pattern of the coarse system, a sparse preconditioner is developed to improve the convergence rate of the iterative solution. Two numerical examples are presented to demonstrate the scalability and capability of the method for modeling of general objects and antenna arrays.