Efficient Parallel Preconditioned Conjugate Gradient Solver on GPU for FE Modeling of Electromagnetic Fields in Highly Dissipative Media

Efficient Parallel Preconditioned Conjugate Gradient Solver on GPU for FE Modeling of Electromagnetic Fields in Highly Dissipative Media
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GPU 上的高效并行预条件共轭梯度求解器,用于高耗散介质中电磁场的有限元建模

DOI:
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发表时间:
2014
影响因子:
2.1
通讯作者:
G. Munier
G. Munier
中科院分区:
工程技术4区
文献类型:
--
作者:
Ana Flávia Peixoto de Camargos;V. C. Silva;J. Guichon;G. Munier

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我们给出了一种使用图形处理单元和计算统一设备体系结构编程模型并行实现预条件共轭梯度求解器的性能分析。通过对稳态和时间简谐电流激励下地下电流扩散过程中电磁现象的有限元分析,对稀疏方程组的求解进行了优化。我们同时使用移位不完全Cholesky分解和不完全LU分解作为预条件。结果表明,与串行CPU实现相比,使用图形处理单元可以显著加快速度。
We present a performance analysis of a parallel implementation of preconditioned conjugate gradient solvers using graphic processing units with compute unified device architecture programming model. The solvers were optimized for the solution of sparse systems of equations arising from finite-element analysis of electromagnetic phenomena involved in the diffusion of underground currents in both steady state and under time-harmonic current excitation. We used both shifted incomplete Cholesky factorization and incomplete LU factorization as preconditioners. The results show a significant speedup using the graphics processing unit compared with a serial CPU implementation.