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Acceleration of an Element-by-Element Preconditioned Conjugate Gradient Solver for Three-Dimensional Tetrahedral Finite Elements using Field Programmable Gate Arrays

机译：使用现场可编程栅极阵列加速三维四面体有限元的元素预先配置的缀合物梯度溶剂

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The complexity of Field Programmable Gate Arrays has continuously increased in the last few years, and, FPGAs are now capable of efficiently implementing large scale scientific applications involving floating point computations. In this paper, an element-by-element (EBE) preconditioned Conjugate Gradient (PCG) iterative solver has been implemented into an FPGA-based 32-bit floating-point reconfigurable computer. The performance of the resulting system is capable of giving a speed-up of about 40 times for a single FPGA board compared to an optimised 64-bit floating-point software version running on a fast microprocessor.

机译：领域可编程门阵列的复杂性在过去几年中持续增加，而且，FPGA现在能够有效地实现涉及浮点计算的大规模科学应用。在本文中，通过元素（EBE）预处理的共轭梯度（PCG）迭代解器已经实现为基于FPGA的32位浮点可重新配置计算机。与在快速微处理器上运行的优化的64位浮点软件版本相比，所得系统的性能能够为单个FPGA板提供约40次的加速。

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《International Conference on Engineering Computational Technology》|2008年||共11页
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J. Hu; S. F. Quigley; A. H. C. Chan;
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中图分类 TB11-53;
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Reconfigurable computing; Hardware acceleration; Field programmable gate arrays (FPGAs); Finite element method (FEM); Preconditioned conjugate gradient;

机译：可重新配置计算;硬件加速;现场可编程门阵列（FPGA）;有限元方法（FEM）;预处理的共轭梯度;

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1. Capacitance Extraction of Three-Dimensional Interconnects Using Element-by-Element Finite Element Method (EBE-FEM) and Preconditioned Conjugate Gradient (PCG) Technique [J] . Jianfeng XU, Hong LI, Wen-Yan YIN, IEICE Transactions on Electronics . 2007,第1期

机译：使用逐元素有限元方法（EBE-FEM）和预处理共轭梯度（PCG）技术提取三维互连的电容
2. Paralleization Strategies for Element-by-Element Proconditioned Conjugate Gradient Solver Using High-Performance Fortran for Unstructured Finite-Element Applications on Linux Clusters [J] . Ganesh Thiagarajan, Vibhas Aravamuthan Journal of Computing in Civil Engineering . 2002,第1期

机译：针对Linux集群上非结构化有限元应用的高性能Fortran逐元素预处理共轭梯度求解器的并行化策略
3. Efficient CUDA Polynomial Preconditioned Conjugate Gradient Solver for Finite Element Computation of Elasticity Problems [J] . Zhang Jianfei, Zhang Lei Mathematical Problems in Engineering . 2013,第pta13期

机译：用于弹性问题有限元计算的高效CUDA多项式预处理共轭梯度求解器
4. Acceleration of an Element-by-Element Preconditioned Conjugate Gradient Solver for Three-Dimensional Tetrahedral Finite Elements using Field Programmable Gate Arrays [C] . J. Hu, S. F. Quigley, A. H. C. Chan International Conference on Engineering Computational Technology . 2008

机译：使用现场可编程栅极阵列加速三维四面体有限元的元素预先配置的缀合物梯度溶剂
5. Element-by-element preconditioning techniques for large-scale, vectorized finite element analysis in nonlinear solid and structural mechanics [D] . Ferencz, Robert Mark 1989

机译：非线性实体和结构力学中大规模矢量化有限元分析的逐元素预处理技术
6. Deflated preconditioned conjugate gradient method for solving single-step BLUP models efficiently [O] . Jérémie Vandenplas, Herwin Eding, Mario P. L. Calus, 2018

机译：紧缩预处理共轭梯度法可有效求解单步BLUP模型
7. Efficient CUDA Polynomial Preconditioned Conjugate Gradient Solver for Finite Element Computation of Elasticity Problems [O] . Jianfei Zhang, Lei Zhang 2013

机译：高效的CUDA多项式预处理共轭梯度求解器，用于弹性问题的有限元计算
8. JAC3D -- A three-dimensional finite element computer program for the nonlinear quasi-static response of solids with the conjugate gradient method. Yucca Mountain Site Characterization Project. [R] . Biffle, J. H. 1993

机译：JaC3D - 用共轭梯度法求解固体非线性准静态响应的三维有限元计算机程序。丝兰山遗址特征项目。

Acceleration of an Element-by-Element Preconditioned Conjugate Gradient Solver for Three-Dimensional Tetrahedral Finite Elements using Field Programmable Gate Arrays

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