| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
In this research, we considered about the numerical method to get a high accurate approximated solutions to the initial-boundary value problem in scalar wave equation. We apply the lattice-free finite difference method and the spectral collocation method with the Gauss-Lobatto points to the discretization in space and time direction, respectively. We show the effectiveness of our method by some numerical experiments.
Moreover, we consider a high accurate method for SIMP type topology optimization problem. We adopt the H1 gradient method to solve our problem. In order to get high accurate solution of the partial differential equation in our algorithm, we use the lattice-free finite difference method. By the numerical experiments, we check the effectiveness, stability, and convergency of our algorithm.
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