Numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods

28 Xuñ 2023
En liña

"Numerical modelling of multiphysics wave propagation with polytopal Discontinuous Galerkin methods"organizado por CITMAga. Será impartido por Ilario Mazzieri (MOX - Laboratory for Modeling and Scientific Computing Dipartimento di Matematica, Politecnico di Milano)

Data: mércores 28 de xuño

Hora: 11:00 h.

Duración: 40 min

Lugar: En liña (MS Teams)


In this work we present discontinuous Galerkin finite element methods on polytopal grids (PolydG) for the numerical simulation of multiphysics wave propagation phenomena in heterogeneous media. In particular, we address wave phenomena in coupled poroelastic-elastic-acoustic media. Wave propagation is modeled by using either the elastodyanmics equation, in the elastic domain, the
acoustics equations in the acoustic domain and the low-frequency Biot's equations in the poroelastic one. The coupling between different models is realized by means of (physically consistent) transmission conditions, weakly imposed on the interface between the domains. For all models configuration, we introduce and analyse the PolydG semi-discrete formulation, which is then coupled with suitable time marching schemes. For the semi-discrete problem, we present the stability analysis and derive a-priori error estimates in a suitable energy norm. A wide set of verification tests with manufactured solutions are presented in order to validate the error analysis. Examples of physical interest are also shown to demonstrate the capability of the proposed methods.

Joint work with Paola F. Antonietti and Michele Botti.