Publications by Francesca Bonizzoni

MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems

The present work concerns the approximation of the solution map S associated to the parametric Helmholtz boundary value problem, i.e., the map which associates to each (real) wavenumber belonging to a given interval of interest the corresponding solution o ...

MATHICSE2016

Finite element differential forms on curvilinear cubic meshes and their approximation properties

Francesca Bonizzoni

We study the approximation properties of a wide class of finite element differential forms on curvilinear cubic meshes in n dimensions. Specifically, we consider meshes in which each element is the image of a cubical reference element under a diffeomorphis ...

Springer Verlag2015

Perturbation analysis for the Darcy problem with log-normal permeability

Fabio Nobile, Francesca Bonizzoni

We study the single-phase flow in a saturated, bounded heterogeneous porous medium. We model the permeability as a log-normal random field. We perform a perturbation analysis, expanding the solution in Taylor series. The series is directly computable in th ...

2014

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We study the Darcy problem with log-normal permeability, modeling the fluid flow in a heterogeneous porous medium. A perturbation approach is adopted, expanding the solution in Taylor series around the nominal value of the permeability. The resulting recur ...

MATHICSE2014

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Fabio Nobile, Annalisa Buffa, Francesca Bonizzoni

We study the mixed formulation of the stochastic Hodge-Laplace problem dened on a

n

-dimensional domain

D (n ≥ 1)

, with random forcing term. In particular, we focus on the magnetostatic problem and on the Darcy problem in the three dimensional case. We ...

2014

,

We study the single-phase flow in a saturated, bounded heterogeneous porous medium. We model the permeability as a log-normal random field. We perform a perturbation analysis, expanding the solution in Taylor series. The series is directly computable in th ...

MATHICSE2013

MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data

Fabio Nobile, Annalisa Buffa, Francesca Bonizzoni

We study the mixed formulation of the stochastic Hodge-Laplace problem defined on a n-dimensional domain D (

n \geq 1

), with random forcing term. In particular, we focus on the magnetostatic problem and on the Darcy problem in the three dimensional case. ...

MATHICSE2012

Francesca Bonizzoni

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MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems

Finite element differential forms on curvilinear cubic meshes and their approximation properties

Perturbation analysis for the Darcy problem with log-normal permeability

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data

Perturbation analysis for the Darcy problem with log-normal permeability

MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems

MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data

Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

Finite element differential forms on curvilinear cubic meshes and their approximation properties