Unified construction of preconditioners in ultra-large-scale domain decomposition analysis
| Project/Area Number |
24560075
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Japan Women's University (2014)
Toyo University (2013)
Kyushu University (2012) |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2014: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 超大規模計算 / 領域分割法 / 高速化手法 / 前処理 / 統一的構築 / インターフェース問題 / 前処理つき共役勾配法 / 大規模領域分割解析 / 高速化 / 並列処理 |
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| Outline of Final Research Achievements |
Theoretical part of implementation of the Balancing Domain Decomposition (BDD) preconditioner for the interface problem in magnetostatic analysis has almost been completed in the first 2012 FY of this research. During 2013 FY and 2014 FY, we have tried to perform real implementation of the preconditioner. In the final 2014 FY, we have concentrated our attention to one core implementation only and confirmed the future possibility of this preconditioner, leaving some unsolved matters.
Power-up of thermal convection weak coupling analysis code (ADVENTURE_sFlow Version 1.0) has mainly been done for thermal analysis, producing the open publicity of the code during 2014 FY. The characteristic curve method (the Lagrange-Galerkin method) is effectively used to have the resultant symmetric coefficient matrices for each time step, which makes the symmetric solvers like the Conjugate Gradient (CG) method or the MINimal RESidual (MINRES) method useful.
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Report
(4 results)
Research Products
(28 results)
