| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
|
|---|
| Outline of Final Research Achievements |
An optimization problem with respect to boundary shape of domain in which boundary value problem of partial differential equation is defined is called the shape optimization problem. In the previous study, defining the problem in an appropriate function space and solving it by the gradient and Newton methods had been presented. In this study, remaining theoretical and practical problems were resolved. As the theoretical problems, the existence theorems of the optimum solutions and the computation method of the second derivative of a cost function with respect to domain variation were revealed. As the practical problems, not only design problems in engineering, but also problems related to medical support and elucidation of biological functions were solved.
|
