An approximation scheme for a Hamilton–Jacobi equation defined on a network

In this paper we study approximation of Hamilton–Jacobi equations defined on a network. We introduce an appropriate notion of viscosity solution on networks which satisfies existence, uniqueness and stability properties. Then we define an approximation scheme of semi-Lagrangian type by discretizing...

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Veröffentlicht in:	Applied numerical mathematics 2013-11, Vol.73, p.33-47
Hauptverfasser:	Camilli, Fabio, Festa, Adriano, Schieborn, Dirk
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Approximation Convergence Discretization Hamilton-Jacobi equation Mathematical analysis Mathematical models Mathematics Network Networks Numerical Analysis Viscosity Viscosity solution
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