CUDA-MPI Implementation of Fast Multipole Method on GPU Clusters for Dielectric Objects

─This paper investigates the Fast Multipole Method (FMM) for large-scale electromagnetics scattering problems for dielectric objects. The algorithm is implemented on a Graphical Processing Unit (GPU) cluster using CUDA programming and Message Passing Interface (MPI). Its performance is investigated in terms of accuracy, speedup, and scalability. The details of the implementation and the performance achievements are shown and analyzed, demonstrating a scalable parallelization while maintaining a good degree of accuracy. Index Terms ─ Dielectric objects, Fast Multipole Method (FMM), Graphics Processing Unit (GPU), Message Passing Interface (MPI).