The Eikonal Equation on a Manifold. Applications to Grid Generation or Refinement
Patrizia Bagnerini, Ph. Hoch, Michel Rascle · Birkhäuser Basel eBooks · 2001
The aim of this work is the generation of anisotropic meshes which are automatically refined in some regions, typically where we want to solve numerically a PDE whose solution is singular. The basic idea is to consider an initial closed curve and to move this curve by the Hamilton-Jacobi equation on a manifold. Similar ideas could also be useful in image processing, in particular for the active contours method. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.