The finite element (FE)-element free Galerkin (EFG) coupling method can make full use of the respective advantages of finite element method and element-free Galerkin method. In order to further improve the computational efficiency of FE-EFG coupling method in large-scale engineering application, Graphic processing unit parallel speedup algorithm of coupled FE-EFG method is presented. Nodes or integral points in the nodal influence field, and the nodes in the integral point definition field are found efficiently by using the local search method in the EFG domain. Based on the characteristics of compute unified device architecture (CUDA), the idea of interacting node pair is introduced to parallel assemble the total stiffness matrix and store it by compress sparse row storage format. The preconditioned conjugate gradient is used to solve the total discrete equations based on the CUDA library function. Two numerical examples verified the feasibility and computational accuracy of presented coupling method. The results show that computational efficiency of FE-EFG coupling method is improved remarkably, and its speedup ratio will increase with the increase of computing scale. Thus, a highly efficient coupling algorithm is offered to large-scale engineering computation.
GONG Shuguang
,
LIAO Yuli
,
XIE Guilan
,
ZHANG Jianping
. Study on GPU Parallel Speedup and Application of FE-EFG Coupling Method[J]. Journal of Mechanical Engineering, 2018
, 54(11)
: 197
-204
.
DOI: 10.3901/JME.2018.11.197
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