抄録
We provide a rigorous interpretation of the level set approach to certain nonlocal geometric motions modelling etching effects in manufacture. The shadowing of certain parts of a surface by other parts gives rise to a nonlocal Hamilton-Jacobi type PDE, with a multivalued Hamiltonian. We also show that deposition effects do not fall within the conventional level set framework, and accordingly must be reinterpreted for numerical implementation.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 1153-1186 |
| ページ数 | 34 |
| ジャーナル | Mathematical Models and Methods in Applied Sciences |
| 巻 | 7 |
| 号 | 8 |
| 出版ステータス | Published - 1997 12月 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学
- モデリングとシミュレーション