Zobrazeno 1 - 10
of 452
pro vyhledávání: '"Verani, Marco"'
The discretization of fluid-poromechanics systems is typically highly demanding in terms of computational effort. This is particularly true for models of multiphysics flows in the brain, due to the geometrical complexity of the cerebral anatomy - req
Externí odkaz:
http://arxiv.org/abs/2407.09659
Since infectious pathogens start spreading into a susceptible population, mathematical models can provide policy makers with reliable forecasts and scenario analyses, which can be concretely implemented or solely consulted. In these complex epidemiol
Externí odkaz:
http://arxiv.org/abs/2404.11130
Autor:
Ferro, Nicola, Micheletti, Stefano, Parolini, Nicola, Perotto, Simona, Verani, Marco, Antonietti, Paola Francesca
We propose a method to modify a polygonal mesh in order to fit the zero-isoline of a level set function by extending a standard body-fitted strategy to a tessellation with arbitrarily-shaped elements. The novel level set-fitted approach, in combinati
Externí odkaz:
http://arxiv.org/abs/2309.11389
We consider the solution to the biharmonic equation in mixed form discretized by the Hybrid High-Order (HHO) methods. The two resulting second-order elliptic problems can be decoupled via the introduction of a new unknown, corresponding to the bounda
Externí odkaz:
http://arxiv.org/abs/2308.10748
A novel space-time discretization for the (linear) scalar-valued dissipative wave equation is presented. It is a structured approach, namely, the discretization space is obtained tensorizing the Virtual Element (VE) discretization in space with the D
Externí odkaz:
http://arxiv.org/abs/2303.17391
In the context of SARS-CoV-2 pandemic, mathematical modelling has played a fundamental role for making forecasts, simulating scenarios and evaluating the impact of preventive political, social and pharmaceutical measures. Optimal control theory can b
Externí odkaz:
http://arxiv.org/abs/2210.17136
We consider the Virtual Element discretization of the Navier-Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We present the Virtual Element discretization of the coupled problem, show its well-posedness
Externí odkaz:
http://arxiv.org/abs/2205.00954
The stationary Navier-Stokes equations for a non-Newtonian incompressible fluid are coupled with the stationary heat equation and subject to Dirichlet type boundary conditions. The viscosity is supposed to depend on the temperature and the stress dep
Externí odkaz:
http://arxiv.org/abs/2202.13075
In this paper, we deal with the inverse problem of the shape reconstruction of cavities and inclusions embedded in a linear elastic isotropic medium from boundary displacement's measurements. For, we consider a constrained minimization problem involv
Externí odkaz:
http://arxiv.org/abs/2201.06554
We consider the $C^1$-Virtual Element Method (VEM) for the conforming numerical approximation of some variants of the Cahn-Hilliard equation on polygonal meshes. In particular, we focus on the discretization of the advective Cahn-Hilliard problem and
Externí odkaz:
http://arxiv.org/abs/2112.15405