Low occupancy high performance elemental products in assembly free FEM on GPU

Pikle, Nileshchandra K.; Sathe, S. R.; Vyavahare, Arvind Y.

doi:10.1007/s00366-021-01350-6

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2024

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“…In the implicit calculation, the GPU-based parallel algorithm is developed to solve linear equations such as stiffness matrix assembly, 23 , 26 the matrix-free method, 27 , 28 and conjugate gradient (CG) methods based on element by element (EBE). 22 , 29 , 30 For explicit FEM, it can directly map different nodes or elements to different threads without solving linear equations. Hence, the explicit FEM is more suitable for fine-grained GPU parallel calculation.…”

Section: Introductionmentioning

confidence: 99%

High-efficiency computation for electromagnetic forming process: An explicit-implicit GPU approach

Pei,

Tang,

et al. 2024

iScience

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Section: Introductionmentioning

confidence: 99%

High-efficiency computation for electromagnetic forming process: An explicit-implicit GPU approach

Pei,

Tang,

et al. 2024

iScience

View full text Add to dashboard Cite

GPU parallel computation strategy for electrothermal coupling problems using improved assembly-free FEM

Wu,

Wang,

Hou

et al. 2024

Journal of Computational Design and Engineering

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The analysis of electrothermal coupling problems finds extensive application in engineering. However, for large-scale electrothermal coupling problems, the time cost and storage requirements for solving them using the Finite Element Method (FEM) are substantial. We optimise the finite element electrothermal coupling computation from two aspects: computational speed and storage usage. Based on the assembly-free FEM, we explore the symmetry of element matrices to reduce storage for second-order tetrahedral elements and propose a GPU parallel algorithm to improve computational speed. At the same time, we allocate the parallel parts of an electrothermal coupling problem to two GPUs to improve the speed further. In addition, for the three types of boundary conditions in electrothermal coupling problems, we design parallel application methods suitable for assembly-free FEM. Finally, we compare our strategy with methods from other literature through the numerical experiment. Our method reduces the element matrices’ storage by 45%. Compared with the solution process using the element level method and degree of freedom(DoF) level method, our strategy achieves average acceleration ratios of 5.83 and 1.38, respectively.

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Low occupancy high performance elemental products in assembly free FEM on GPU

Cited by 2 publications

References 26 publications

High-efficiency computation for electromagnetic forming process: An explicit-implicit GPU approach

High-efficiency computation for electromagnetic forming process: An explicit-implicit GPU approach

GPU parallel computation strategy for electrothermal coupling problems using improved assembly-free FEM

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