Eikonal equations with discontinuities: uniqueness and numerical approximation

  • Klaus Deckelnick (Otto-von-Guericke-Universität Magdeburg, Institut für Analysis und Numerik, Germany)
A3 01 (Sophus-Lie room)


We study the wellposedness of an eikonal equation with a discontinuous right hand side. Under suitable assumptions on the data we obtain a unique solution, which satisfies the equation in the (suitably extended) viscosity sense. We also analyze a finite difference scheme for approximating this solution.

Anne Dornfeld

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