Discontinuous Galerkin Methods for Hamilton-Jacobi Equations
Fengyan Li, RPI

Abstract: 

Hamilton-Jacobi equations provide important mathematical models for many areas
such as optimal control, image processing, computer vision, and geometric
optics. To ensure the existence and uniqueness of the physically relevant
solution, the concept of viscosity solution was introduced for such equations
in the early eighties. In this presentation, we will discuss our recent
progress in developing the numerical methods for solving the viscosity
solutions of Hamilton-Jacobi equations based on discontinuous Galerkin
discretizations.