Research on high accuracy computing and numerical verification for Finite Element Method solution in a non-convex domain
| Project/Area Number |
19740052
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kanazawa University |
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Principal Investigator |
KOBAYSHI Kenta Kanazawa University, 数物科学系, 准教授 (60432902)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,800,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥600,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2007: ¥1,200,000 (Direct Cost: ¥1,200,000)
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| Keywords | 精度保証 / 有限要素法 / 誤差評価 / 非凸領域 / ポアソン方程式 / 重調和方程式 / Navier-Stokes方程式 / ボアソン方程式 |
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| Research Abstract |
In solving partial differential equation by Finite Element Method in a non-convex domain, it is known that the convergent rate could be improved by adding singularity functions to the Finite Element basis or using mesh refinement. In our research, we have obtained explicit error estimations for these problems. These results can be applied for computer-assisted proof for non-linear problems.
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Report
(4 results)
Research Products
(35 results)
