Top-level heading

Analysis and approximation of Hamilton-Jacobi equations with irregular data

Categoria
Seminari di Modellistica Differenziale Numerica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker

A. Festa, SAPIENZA Università di Roma

We will present some numerical schemes for some non classical Hamilton-Jacobi equations. We will consider an Eikonal equation with discontinuous coefficients. In this case, through a particular condition on the discontinuities we can preserve a comparison principle for the solutions. We will introduce and study a semi Lagrangian numerical scheme also deriving error bounds. Another case which we will present is an eikonal equation on a graph. We will briefly present the notion of viscosity solution in this situation introduced by Camilli and al. in 2010 and we will build a numerical approximation for it. Some numerical solutions for the Shape-from-Shading problem and for an optimal control problem on a domain with constraints will be presented.