Publications by Anna Tagliabue

Fluid dynamics of an idealized left ventricle: the extended Nitsche's method for the treatment of heart valves as mixed time varying boundary conditions

In this work, we study the blood flow dynamics in idealized left ventricles (LV) of the human heart modelled by the Navier-Stokes equations with mixed time varying boundary conditions. The latter are introduced for simulating the functioning of the aortic ...

Wiley2017

Complex blood flow patterns in an idealized left ventricle: A numerical study

Alfio Quarteroni, Anna Tagliabue

In this paper, we study the blood flow dynamics in a three-dimensional (3D) idealized left ventricle of the human heart whose deformation is driven by muscle contraction and relaxation in coordination with the action of the mitral and aortic valves. We pro ...

American Institute of Physics2017

Nitsche's method for parabolic Partial Differential Equations with mixed time varying boundary conditions

Alfio Quarteroni, Luca Dede', Anna Tagliabue

We investigate a finite element approximation of an initial boundary value problem associated with parabolic Partial Differential Equations endowed with mixed time varying boundary conditions, switching from essential to natural and vice versa. The switchi ...

EDP Sciences2016

Modelling blood flows in the heart: extended Nitsche's method for the treatment of the valves as generalized boundary conditions

Alfio Quarteroni, Luca Dede', Anna Tagliabue

We investigate the blood flow inside idealized left ventricles with prescribed wall movement by defining a formulation of boundary conditions for the Navier-Stokes equations accounting for the valves. Specifically, we consider an extended Nitsche’s method ...

CMBE, Zeta Computational Resources Ltd.2015

Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics

Alfio Quarteroni, Luca Dede', Anna Tagliabue

In this paper, we consider the numerical approximation of high order Partial Differential Equations (PDEs) by means of NURBS-based Isogeometric Analysis (IGA) in the framework of the Galerkin method, for which global smooth basis functions with degree of c ...

Elsevier2014