改进的稀疏网格配点法对EIT电导率分布的不确定性量化
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李颖,王冠雄,闫伟,赵营鸽,马重蕾
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Improved sparse grid collocation method for uncertainty quantification of EIT conductivity distribution
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Ying LI,Guan-xiong WANG,Wei YAN,Ying-ge ZHAO,Chong-lei MA
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| 表 3 不同不确定性量化方法下各电极电位的统计信息 |
| Tab.3 Statistical information of each electrode potential under different uncertainty quantification methods |
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| UQ方法 | 1号电极 | | 2号电极 | | 3号电极 | | 4号电极 | N | | $\mu/{\rm{mV}}$ | s | $\mu/{\rm{mV}}$ | s | $\mu/{\rm{mV}}$ | s | $\mu/{\rm{mV}}$ | s | | MC | 28.892 9 | 2.407 8 | | 22.401 0 | 1.818 2 | | 18.842 3 | 1.535 2 | | 16.400 6 | 1.359 2 | 100 000 | | PCE | 28.867 3 | 2.332 2 | 22.374 0 | 1.745 4 | 18.809 5 | 1.445 7 | 16.372 0 | 1.273 1 | 512 | | 稀疏网格配点法，K = [4,4,4,4] | | 28.880 7 | 2.348 0 | 22.394 6 | 1.764 6 | 18.826 5 | 1.474 1 | 16.389 0 | 1.296 3 | 401 | | 稀疏网格配点法，K = [5,5,5,5] | | 28.884 6 | 2.367 2 | 22.402 2 | 1.776 9 | 18.833 7 | 1.485 4 | 16.394 3 | 1.305 8 | 1 105 | | 改进稀疏网格配点法，K = [3,3,4,4] | | 28.878 3 | 2.347 9 | 22.390 6 | 1.762 7 | 18.824 2 | 1.470 2 | 16.386 1 | 1.295 6 | 385 | | 改进稀疏网格配点法，K = [3,2,4,5] | | 28.882 2 | 2.361 2 | 22.395 6 | 1.765 5 | 18.831 7 | 1.482 2 | 16.393 2 | 1.301 0 | 845 |
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