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Minimizzazione di funzionali energia attraverso un’adattazione anisotropa della mesh

In questa presentazione ci focalizziamo su due diversi tipi di fenomeni che possono essere modellati attraverso la minimizzazione di un opportuno funzionale energia, ovvero la propagazione di fratture...

Numerical methods for compressible Navier-Stokes equations

We review numerical methods for direct numerical simulation of turbulent compressible flow in the presence of shock waves. Ideal numerical methods should be accurate and free from numerical dissipatio...

Chorin’s approaches revisited: Particle Vortex Method vs Finite Volume Method

In this work a Vortex Particle Method is combined with a Boundary Element Method for the study of viscous incompressible planar flow around solid bodies. The method is based on Chorin’s operator split...

Modelling reaction-diffusion beyond the Fourier law

The classical modelling of diffusion processes posits that the flux is proportional to the gradient of the density, with the final output that the resulting equation is parabolic. Such description has...

Tensor Finite Element Methods for the Spectral Fractional Laplacian

In this talk we discuss the analysis and fast implementation of numerical algorithms for the solution of fractional linear elliptic problems on a bounded domain with a homogeneous Dirichlet boundary c...

Some high order filtered schemes for parabolic Hamilton-Jacobi-Bellman equations

We consider high order numerical schemes for second order Hamilton-Jacobi-Bellman (HJB) equations. For high order approximation schemes (where "high" stands for greater than one), the inevitable loss ...

Degenerate Parabolic Models for Sand Slides

Four phenomena contribute to wind-induced sand movement and eventually to the formation and evolution of dunes: erosion from the sand bed, transport by the wind, sedimentation due to gravity, and sand...

Smooth B-spline construction on meshes with polar singularities

Representing arbitrary surfaces with a finite number of polynomial patches requires the introduction of polar points for high-valence neighborhoods in quadrilateral meshes. Such holes can be filled by...

Problemi di route planning e controllo ibrido

Nella sua formulazione piu' semplice, il problema di "route planning" per imbarcazioni a vela consiste nel minimizzare il tempo medio di arrivo a un dato target in un campo di vento con una componente...

Acoustic and electromagnetic transmission problems: wavenumber-explicit bounds and resonance-free regions

We consider the Helmholtz and the time-harmonic Maxwell transmission problems with one penetrable star-shaped Lipschitz obstacle. Under a natural assumption about the ratio of the wavenumbers, we prov...

Mathematical modelling and methods in drug delivery systems

Si offre una panoramica della ricerca svolta su alcuni problemi di reazione-diffusione in ambito biomedico. In particolare si presentano alcuni modelli matematici per il trasporto del farmaco che diff...

Alcuni problemi teorici sul Reinforcement Learning

Il Reinforcement Learning ha attirato l’attenzione in numerose discipline per via della sua velocità nel risolvere problemi computazionalmente costosi. Anche nella teoria del controllo, vari esperti h...