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Award Finalist/Winner |
SC Conference - Activity Details
Linear Scaling Divide-and-conquer Electronic Structure Calculations for Thousand Atom Nanostructures
Authors:
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Lin-Wang Wang
(Lawrence Berkeley National Laboratory)
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Byounghak Lee
(Lawrence Berkeley National Laboratory)
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Hongzhang Shan
(Lawrence Berkeley National Laboratory)
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Zhengji Zhao
(Lawrence Berkeley National Laboratory)
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Juan Meza
(Lawrence Berkeley National Laboratory)
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Erich Strohmaier
(Lawrence Berkeley National Laboratory)
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David Bailey
(Lawrence Berkeley National Laboratory)
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ACM Gordon Bell Finalists Session
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Thursday, 11:30AM - 12:00PM
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Room Ballroom G
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Abstract:
We present a new linearly scaling three-dimensional fragment (LS3DF)
method for large scale ab initio electronic structure
calculations. LS3DF is based on a divide-and-conquer approach, which
incorporates a novel patching scheme that effectively cancels out the
artificial boundary effects due to the subdivision of the system. As
a consequence, the LS3DF program yields essentially the same results
as direct density functional theory (DFT) calculations. After code optimization, we were
able to achieve 60.3~Tflop/s, which is 23.4% of the theoretical peak speed on
30,720 Cray XT4 processor cores. In a separate run on a BlueGene/P
system, we achieved 107.5 Tflop/s on 131,072 cores, or 24.2% of peak.
Our 13,824-atom ZnTeO alloy
calculation runs 400 times faster than a direct DFT calculation, even
presuming that the direct DFT calculation can scale well up to 17,280
processor cores. These results demonstrate the
potential for petascale computation using the LS3DF method.
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