| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
In our research, we focused on the error analysis of the 3-dimensional finite element method and its application to the numerical verification method. The analysis of the interpolation error is particularly important for the error analysis of the finite element methods. In the preceding researches, the error analysis of the interpolation is done under the geometric assumptions such as the shape regularity or the generalized maximum angle condition. On the other hand, we present a new type of error estimation for the Lagrange interpolation which requires no geometric condition on tetrahedrons. This result would be applied to the numerical verification for the partial differential equation in the 3-dimensional problems based on the finite element method.
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