| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
In this research project,we considered a variational crack propagation model which the principal investigator proposed and some related moving boundary problems. We tried to establish the foundations of mathematical tools and mathematical modeling using their variational structure such as the gradient flow structure. Some efficient numerical schemes for them are also proposed. Additionally, we also studied related other topics: an elastic spring-block system, a phase field model of dislocation dynamics, a shape optimization approach to free boundary problems, a snow flake growth model by variational crystalline method, from the viewpoints of mathematical and numerical analysis and mathematical modeling based on their variational structures.
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