Abstract
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.
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© 2001 Springer Basel AG
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Bagnerini, P., Hoch, P., Rascle, M. (2001). The Eikonal Equation on a Manifold. Applications to Grid Generation or Refinement. In: Freistühler, H., Warnecke, G. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 140. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8370-2_12
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DOI: https://doi.org/10.1007/978-3-0348-8370-2_12
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