ECCOMAS 2024

A numerical scheme for the critical value approximation of eikonal Hamilton–Jacobi equations on networks

Coscetti, Valentina (University of Rome “La Sapienza”)
Pozza, Marco (University of Rome “Tor Vergata”)

In session: MS238A - Differential Problems on Heterogeneous Structures and Networks: Modelling, Numerics and Applications I

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A numerical scheme for the critical value approximation of eikonal Hamilton–Jacobi equations on networks is presented. The proposed method is based on the long time approximation of the corresponding evolutive problem, which is solved numerically with a semi-Lagrangian scheme. More specifically, some numerical tests are shown, to illustrate the convergence of the algorithm. This is a joint work with Marco Pozza.