Research on EBE-FEM Realized by CUDA Applying to Electromagnetic Field Analysis

The utilization of Graphical Processing Units (GPUs) for element by element (EBE) finite element method (FEM) is demonstrated in this paper. Different from the conventional FEM, the iterative solution scheme of EBE can be entirely decomposed into computations on the element level without assembling the global system matrix, and the computations can be executed parallel. GPUs are programmable stream processors designed for intensive, highly parallelized computations, and the many-core nature can support computation element by element in parallel. In this paper, the EBE-FEM combined with Jacobi preconditioned technology is derived. The CPU+GPU cooperative computation model of EBE finite element method based on Compute Unified Device Architecture (CUDA) platform is proposed. The corresponding FEM program are developed and implemented on the magnetic field calculations which produced by straight conductor carrying current and single phase power transformer respectively. The validity and accuracy of the method have been verified by comparing the result with the analytical solution. Compared with the serial EBE-FEM, the higher computational efficiency can be obtained by parallel EBE computation on CUDA. The proposed method can be applied to electromagnetic field analysis of transformer and motor, which may refer large scale numerical computation.