| Budget Amount *help |
¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
A preconditioner for the conjugate gradient method based on a multigrid (MG) method (the fiber coarse grid MG method) is proposed for the finite element analysis of framed structures modeled by a fine mesh of solid elements. A frame model of beam elements (beam model) is used as a coarse grid of the fine mesh of solid elements. The degenerated Timoshenko beam element is used for the beam model. The proposed method is a kind of two grid method. The methods of the restriction and prolongation for the proposed MG method are derived. Good convergence property compared to a simple diagonal scaling preconditioner is attained by the proposed MG preconditioner. A prototype of analysis framework for the proposed method, which consists of I/O system, pre- and post- systems is also developed.
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