Parallelization of finite element analysis of nonlinear magnetic fields using GPU

Takayuki Okimura, Teruyoshi Sasayama, Norio Takahashi, Soichiro Ikuno

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


The acceleration of a nonlinear magnetic field analysis by parallelizing the finite element method (FEM) is examined using the graphics processing unit (GPU). It is shown that the speedup of the magnetic field analysis is realized by parallelizing the variable preconditioned conjugate gradient (VPCG) method. The Jacobi over-relaxation (JOR) method, conjugate residual (CR) method and conjugate gradient (CG) method are also applied in the variable preconditioning. The results of computations demonstrate that VPCG using the GPU significantly improve the performance. Especially, CG applied by variable preconditioned on GPU is 39 times faster than ICCG on a CPU.

Original languageEnglish
Article number6514787
Pages (from-to)1557-1560
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number5
Publication statusPublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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