The application of Discontinuous Petrov-Galerkin method for time-dependent Partial Differential Equations

Título:  The application of Discontinuous Petrov-Galerkin method for time-dependent Partial Differential Equations

Ponente: Judit Muñoz Matute, BCAM – Basque Center for Applied Mathematics

Organizador: José Valero

Fecha: Lunes 14 de diciembre de 2020 a las 12:00 horas.

Lugar:  Online. meet.google.com/xpc-yivb-xze

Abstract: The Discontinuous Petrov-Galerkin (DPG) method with optimal test functions is a numerical method for approximating the solution of Partial Differential equations. It was proposed 10 years ago and since then, it has been applied to the simulation of a wide variety of problems including convection-dominated diffusion, Maxwell’s equations, linear elasticity, Stoke’s flow and Helmholtz equation, among many others. The key idea of the DPG method is to construct optimal test functions in such a way that the discrete stability is inherited from the continuous problem. In this talk, I will show how to apply the DPG method in the time variable for transient PDEs and its relation with exponential time integrators.