2013 Fiscal Year Final Research Report
Construction of a high quality characteristics finite element method
| Project/Area Number |
23740090
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Waseda University |
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Principal Investigator |
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| Project Period (FY) |
2011 – 2013
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| Keywords | 流れ問題 / 有限要素法 / 特性曲線法 / 安定性 / 収束性 |
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| Research Abstract |
Recently we have developed a stabilized characteristics finite element scheme for the Navier-Stokes equations. It is a combined scheme with the characteristics method and a pressure-stabilization method. The matrix of the derived system of linear equations is symmetric and a cheap P1/P1 element is employed. The scheme is, therefore, efficient especially three-dimensional problems.
Stability and convergence of the scheme have been proved. The error estimates are optimal. Consequently, the scheme has mathematical reliability in addition to the computational advantages.
Some other numerical and theoretical results related to the characteristics method have been obtained in this research period.
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Research Products
(56 results)
