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.
|Number of pages||34|
|Journal||Mathematical Models and Methods in Applied Sciences|
|Publication status||Published - 1997 Dec|
ASJC Scopus subject areas
- Applied Mathematics
- Modelling and Simulation