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

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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.