Dipartimento di Matematica - Sapienza Università di Roma

Seminario di Modellistica Differenziale Numerica    


     Keywords: Computational Fluid Dynamics, Differential Games, Front propagation, Hamilton-Jacobi equations, Image processing, Material Science, Optimal control, Sand piles      Keywords: Computational Fluid Dynamics, Differential Games, Front propagation, Hamilton-Jacobi equations, Image processing, Material Science, Optimal control, Sand piles      Keywords: Computational Fluid Dynamics, Differential Games, Front propagation, Hamilton-Jacobi equations, Image processing, Material Science, Optimal control, Sand piles      Keywords: Computational Fluid Dynamics, Differential Games, Front propagation, Hamilton-Jacobi equations, Image processing, Material Science, Optimal control, Sand piles

SELEZIONA ARCHIVIO:  

Calendario degli incontri a.a. 2019-2020


Martedì 24 settembre 2019, ore 14.15, Aula B

Serikbolsyn Duisembay
King Abdullah University of Science and Technology, Arabia Saudita
A convergent difference scheme for Hamilton-Jacobi equations with arbitrary domains

Abstract: In this presentation, we focus on stationary first-order Hamilton-Jacobi equations with arbitrary two-dimensional domains. Our aim is to implement a finite-difference scheme that satisfies monotonicity, consistency, and stability properties. Due to the Barles-Souganidis result, the scheme locally uniformly converges to a unique viscosity solution of the Hamilton-Jacobi equation. To solve the scheme numerically, we use the Euler map with some initial guess. We illustrate our numerical results in several examples.