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High-order Discontinuous Galerkin methods on polytopic grids for the numerical modelling of earthquake ground motion

Presented by: 
Paola Francesca Antonietti Politecnico di Milano
Monday 8th July 2019 - 16:00 to 17:00
INI Seminar Room 1
A number of challenging geophysical applications requires a flexible representation of the geometry and an accurate approximation of the solution field. Paradigmatic examples include seismic wave propagation and fractured reservoir simulations. The main challenges are i) the complexity of the physical domain, due to the presence of localized geological irregularities, alluvial basins, faults and fractures; ii) the heterogeneities in the medium, with significant and sharp contrasts; and iii) the coexistence of different physical models. The discontinuous Galerkin FEM on polytopic grids (PolyDG) possesses the built-in flexibility to naturally accommodate both polytopic meshes and high-order approximations in any space dimension. In this talk I will discuss recent advances in the development and analysis of high-order PolyDG methods for the numerical approximation of seismic wave propagation phenomena. I will analyse the stability and the theoretical properties of the scheme and present some simulations of real large-scale seismic events in three-dimensional complex media.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons