Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646371 | Applied Numerical Mathematics | 2006 | 16 Pages |
Abstract
We consider the propagation of a front in a two-dimensional striated medium. In the case of a front that can be written as a graph over the real line we are led to an Eikonal equation for the height function which contains a possibly discontinuous coefficient. We prove existence and uniqueness of a viscosity solution in the sense of Ishii. Furthermore, we obtain an -error bound for a monotone and consistent finite difference scheme. We conclude with some numerical tests.
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