An optimized magnetostatic field solver on GPU using open computing language

Abstract

Summary Recent graphic processing units (GPUs) have remarkable raw computing power, which can be used for very computationally challenging problems. Like in micromagnetic simulations, where the magnetostatic field computation to analyze the magnetic behavior at very small time and space scale demands a huge computation time. This paper presents a multidimensional FFT‐based parallel implementation of a magnetostatic field computation on GPUs. We have developed a specialized 3D FFT library for magnetostatic field calculation on GPUs. This made it possible to fully exploit the symmetries inherent in the field calculation and other optimizations specific to the GPUs architecture. We have compared our results with the widely used CPU‐based parallel OOMMF program and with an equivalent serial implementation on CPU. The results have shown a speedup of up to 95x and 8.7x for single and 66x and 4.6x for double precision floating point accuracy against equivalent serial implementation and OOMMF, respectively.

Fast micromagnetic simulations on GPU—recent advances made with $\mathsf{mumax}^3$

“…All three are built using the Nvidia CUDA toolkit, which keeps them locked to the corresponding GPU vendor. This was addressed by Grace [58] and the code pre sented by Khan et al [65] that employs vendorneutral C++ accelerated massive parallelism (C++ AMP) and open com pute language (OpenCL) frameworks, respectively. GPU accelerated versions of widespread CPUbased codes, LLG micromagnetics simulator and OOMMF, were also recently reported [45].…”