I am part of the development and maintenance team of the MPMApplication within the KratosMultiphysics framework. show more I am part of the development and maintenance team of the MPMApplication within the KratosMultiphysics framework. This application implements the Material Point Method (MPM) to simulate complex non-linear phenomena involving large deformations, such as free-surface flows, geomechanical processes, and extreme events like impact, penetration, and failure evolution. The application also supports coupled simulations with other numerical methods, including the Finite Element Method (FEM) and the Discrete Element Method (DEM), broadening its range of engineering and scientific applications. show less

Development of a mathematical and numerical model for simulating the propagation of waves on linear viscoelastic and heterogeneous materials of Kelvin-Voigt type. show more Development of a mathematical and numerical model for simulating the propagation of waves on linear viscoelastic and heterogeneous materials of Kelvin-Voigt type. Existence, uniqueness and regularity results for the solution of the initial-boundary value problem describing the phenomenon have been obtained by relying on the standard theory of linear evolution equations in Hilbert spaces. Then, the numerical solution has been computed by means of two approaches: the Spectral Galerkin method, which is based on boundary-adapted Legendre polynomials, and the Finite Element Method, which uses piecewise linear Lagrangian basis functions defined on an unstructured triangulation. show less