Fast Finite Element Analysis Method Using Multiple GPUs for Crustal Deformation and its Application to Stochastic Inversion Analysis with Geometry Uncertainty

Fast Finite Element Analysis Method Using Multiple GPUs for Crustal Deformation and its Application to Stochastic Inversion Analysis with Geometry Uncertainty
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多GPU地壳变形快速有限元分析方法及其在几何不确定性随机反演分析中的应用

DOI:
10.1016/j.procs.2017.05.223
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发表时间:
2017
期刊:
Procedia Computer Science (International Conference on Computational Science, ICCS 2017)
影响因子:
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通讯作者:
Wijerathne Lalith
Wijerathne Lalith
中科院分区:
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文献类型:
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作者:
Yamaguchi Takuma;Fujita Kohei;Ichimura Tsuyoshi;Hori Takane;Hori Muneo;Wijerathne Lalith

文献摘要

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随着观测资料的积累,对利用三维高精度模型计算地壳形变的需求越来越大。这种方法计算量大,在蒙特卡罗模拟、随机反分析和优化等应用中,需要105次以上的重复计算。为了处理大量的计算成本,我们开发了一种快速有限元(FE)分析方法,使用多GPU的地壳形变。我们使用适合GPU的算法,并加速计算,如稀疏矩阵向量积。通过减少计算时间,我们能够在可行的时间范围内进行多次地壳形变计算。作为应用实例,我们对2011年日本东北大地震进行了考虑几何不确定性的随机反演分析,并利用所提出的方法对不同的8 × 107自由度有限元模型进行了36万次地壳形变计算,估算了同震滑动分布。
Crustal deformation computation using 3-D high-fidelity models has been in heavy demand due to accumulation of observational data. This approach is computationally expensive and more than 105repetitive computations are required for various application including Monte Carlo simulation, stochastic inverse analysis, and optimization. To handle the massive computation cost, we develop a fast Finite Element (FE) analysis method using multi-GPUs for crustal deformation. We use algorithms appropriate for GPUs and accelerate calculations such as sparse matrix-vector product. By reducing the computation time, we are able to conduct multiple crustal deformation computations in a feasible timeframe. As an application example, we conduct stochastic inverse analysis considering uncertainties in geometry and estimate coseismic slip distribution in the 2011 Tohoku Earthquake, by performing 360,000 crustal deformation computations for different 8 × 107DOF FE models using the proposed method.