Parallel adaptive cross approximation for accelerating time-domain method of moments

In this paper, the parallel Adaptive Cross Approximation (ACA) algorithm is introduced to reduce the memory and CPU time requirements for solving the Time-Domain Integral Equation (TDIE). Marching-On-in-Degree (MOD) is selected to be the equation solver so as to avoid the late-time oscillation in Marching-On-in-Time (MOT); ACA is a purely algebraic algorithm whose formulation and implementation are independent of the integral kernel (Green´s function) so that it can be easily applied to TDIE to reduce the memory requirement. Meanwhile, parallel technique based on partitioning the octree´s group is employed either to accelerate the computation. Through some numerical examples, the proposed method is proven feasible and efficient.