| 会議略称 | NOLTA |
|---|---|
| 国際会議名称 | Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications |
| 開催年 | 2012 |
| セッション番号 | D1L-D |
| セッション名 | Special Session: Verified Numerical Computations for Linear and Nonlinear Problems I |
| 講演番号 | 809 |
| 開催日(セッション) | 2012/10/26 |
| タイトル | On the Interpolation Constants over Triangular Elements |
|---|---|
| 著者名 | Kenta Kobayashi, |
| Vo.No. 開始ページ.終了ページ |
Vol.1, No.809, pp.809-811 |
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| 要旨 | We present remarkable formulas which give sharp upper bounds for the interpolation constants on the triangles. These constants play an important role in the interpolation theory, in an a priori error estimation in the finite element analysis and in many other areas. The proposed formulas provide better upper bounds than the former ones. Moreover, they are convenient in practical calculations. In the proof of the formulas, we employ numerical verification method. |
| DOI | 10.15248/proc.1.809 |
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