ECCOMAS 2024

Convergence Analysis of an Algorithm for the Critical Value of Eikonal Equations Posed on Networks

  • Pozza, Marco (University of Rome ``Tor Vergata'')
  • Coscetti, Valentina (University of Rome ``La Sapienza'')

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An algorithm for the approximation of the Mañé critical value of eikonal equations posed on networks is proposed. It is based on the large time behavior of the solutions to the corresponding evolutive problem and a semi--Lagrangian approximation scheme for this problem. We illustrate the convergence order and an estimate of the error for this numerical method. This is a joint work with Valentina Coscetti.