Personne
Andrea Bartezzaghi
Cette personne n’est plus à l’EPFL
Publications associées (10)
Biomembrane modeling with isogeometric analysis
Alfio Quarteroni, Andrea Bartezzaghi
We consider the numerical approximation of lipid biomembranes at equilibrium described by the Canham-Helfrich model, according to which the bending energy is minimized under area and volume constraints. Energy minimization is performed via L-2-gradient flo ...
ELSEVIER SCIENCE SA2019Isogeometric Analysis for High Order Geometric Partial Differential Equations with Applications
In this thesis, we consider the numerical approximation of high order geometric Partial Differential Equations (PDEs). We first consider high order PDEs defined on surfaces in the 3D space that are represented by single-patch tensor product NURBS. Then, we ...
EPFL2017Isogeometric approximation of cardiac electrophysiology models on surfaces: An accuracy study with application to the human left atrium
Alfio Quarteroni, Toni Mikael Lassila, Andrea Bartezzaghi, Alessandro Samuele Patelli
We consider Isogeometric Analysis in the framework of the Galerkin method for the spatial approximation of cardiac electrophysiology models defined on NURBS surfaces; specifically, we perform a numerical comparison between basis functions of degree p >= 1 ...
Elsevier2017MATHICSE Technical Report : Biomembrane modeling with Isogeometric Analysis
Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi
We consider the numerical approximation of lipid biomembranes, including red blood cells, described through the Canham-Helfrich model, according to which the shape minimizes the bending energy under area and volume constraints. Energy minimization is perfo ...
MATHICSE2017Isogeometric Analysis of geometric partial differential equations
Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi
We consider the numerical approximation of geometric Partial Differential Equations (PDEs) defined on surfaces in the 3D space. In particular, we focus on the geometric PDEs deriving from the minimization of an energy functional by L2L2-gradient flow. We a ...
Elsevier2016MATHICSE Technical Report : Isogeometric analysis of geometric partial differential equations
Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi
We consider the numerical approximation of geometric Partial Differential Equations (PDEs) defined on surfaces in the 3D space. In particular, we focus on the geometric PDEs deriving from the minimization of an energy functional by L2-gradient ow. We analy ...
MATHICSE2016Isogeometric Analysis of high order Partial Differential Equations on surfaces
Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi
We consider the numerical approximation of high order Partial Differential Equations (PDEs) defined on surfaces in the three dimensional space, with particular emphasis on closed surfaces. We consider computational domains that can be represented by B-spli ...
Elsevier2015MATHICSE Technical Report : Isogeometric analysis of high order partial differential equations on surfaces
Alfio Quarteroni, Luca Dede', Andrea Bartezzaghi
We consider the numerical approximation of high order Partial Differential Equations (PDEs) defined on surfaces in the three dimensional space, with particular emphasis on closed surfaces. We consider computational domains that can be represented by B-spli ...
MATHICSE2015MATHICSE Technical Report : Isogeometric approximation of cardiac electrophysiology models on surfaces: an accuracy study with application to the human left atrium
Alfio Quarteroni, Luca Dede', Toni Mikael Lassila, Andrea Bartezzaghi, Alessandro Samuele Patelli
We consider Isogeometric Analysis in the framework of the Galerkin method for the spatial approximation of cardiac electrophysiology models defined on NURBS surfaces; specifically, we perform a numerical comparison between basis functions of degree p≥1and ...
MATHICSE2015An explicit dynamics GPU structural solver for thin shell finite elements
Nicola Parolini, Andrea Bartezzaghi
With the availability of user oriented software tools, dedicated architectures, such as the parallel computing platform and programming model CUDA (Compute Unified Device Architecture) released by NVIDIA, one of the main producers of graphics cards, and of ...
Elsevier2015