199 citations · 431 across the 51 of their papers we have counts for
59 papers
Finite element exterior calculus for spectra and pseudospectra of advection-diffusion of differential forms
Daniele Boffi, Kaibo Hu, Yizhou Liang +1
Numerical investigations of dynamo action have remained active in fluid mechanics over the past decades, presenting numerous challenges and open problems. Meanwhile, the developmen…
Virtual element approximation of eigenvalue problems: is the stabilization of the right hand side necessary?
Daniele Boffi, Francesca Gardini, Lucia Gastaldi
The VEM approximation of eigenvalue problems usually involves the appropriate tuning of stabilization parameters, unless self-stabilizing or stabilization-free VEM are used. In thi…
On the stability and conditioning of a fictitious domain formulation for fluid-structure interaction problems
Daniele Boffi, Fabio Credali, Lucia Gastaldi
We consider a distributed Lagrange multiplier formulation for fluid-structure interaction problems in the spirit of the fictitious domain approach. This is an unfitted method, whic…
Advances on the finite element discretization of fluid-structure interaction problems
Najwa Alshehri, Daniele Boffi, Fabio Credali +1
We review the main features of an unfitted finite element method for interface and fluid-structure interaction problems based on a distributed Lagrange multiplier in the spirit of…
A posteriori error estimator for elliptic interface problems in the fictitious formulation
Najwa Alshehri, Daniele Boffi, Lucia Gastaldi
A posteriori error estimator is derived for an elliptic interface problem in the fictitious domain formulation with distributed Lagrange multiplier considering a discontinuous Lagr…
Quadrature error estimates on non-matching grids in a fictitious domain framework for fluid-structure interaction problems
Daniele Boffi, Fabio Credali, Lucia Gastaldi
We consider a fictitious domain formulation for fluid-structure interaction problems based on a distributed Lagrange multiplier to couple the fluid and solid behaviors. How to deal…
A nodal ghost method based on variational formulation and regular square grid for elliptic problems on arbitrary domains in two space dimensions
Clarissa Astuto, Daniele Boffi, Giovanni Russo +1
This paper focuses on the numerical solution of elliptic partial differential equations (PDEs) with Dirichlet and mixed boundary conditions, specifically addressing the challenges…
On the stabilization of a virtual element method for an acoustic vibration problem
Linda Alzaben, Daniele Boffi, Andreas Dedner +1
In this paper we introduce an abstract setting for the convergence analysis of the virtual element approximation of an acoustic vibration problem. We discuss the effect of the stab…
Adaptive Mixed FEM for the Stokes eigenvalue problem
Daniele Boffi, Arbaz Khan
In this paper we discuss the optimal convergence of a standard adaptive scheme based on mixed finite element approximation to the solution of the eigenvalue problem associated with…
Nitsche's prescription of Dirichlet conditions in the finite element approximation of Maxwell's problem
D. Boffi, R. Codina, Ö. Türk
In this paper we consider the finite element approximation of Maxwell's problem and analyse the prescription of essential boundary conditions in a weak sense using Nitsche's method…
Approximation of the Maxwell eigenvalue problem in a Least-Squares setting
Fleurianne Bertrand, Daniele Boffi, Lucia Gastaldi
We discuss the approximation of the eigensolutions associated with the Maxwell eigenvalues problem in the framework of least-squares finite elements. We write the Maxwell curl curl…
A comparison of non-matching techniques for the finite element approximation of interface problems
Daniele Boffi, Andrea Cangiani, Marco Feder +2
We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibl…
Finite element formulations for Maxwell's eigenvalue problem using continuous Lagrangian interpolations
Daniele Boffi, Ramon Codina, Önder Türk
We consider nodal-based Lagrangian interpolations for the finite element approximation of the Maxwell eigenvalue problem. The first approach introduced is a standard Galerkin metho…
On the effect of different samplings to the solution of parametric PDE Eigenvalue Problems
Daniele Boffi, Abdul Halim, Gopal Priyadarshi
In this article we apply reduced order techniques for the approximation of parametric eigenvalue problems. The effect of the choice of sampling points is investigated. Here we use…
A data-driven method for parametric PDE Eigenvalue Problems using Gaussian Process with different covariance functions
Moataz Alghamdi, Fleurianne Bertrand, Daniele Boffi +1
We use a Gaussian Process Regression (GPR) strategy that was recently developed [3,16,17] to analyze different types of curves that are commonly encountered in parametric eigenvalu…
Finite element discretization of a biological network formation system: a preliminary study
Clarissa Astuto, Daniele Boffi, Fabio Credali
A finite element discretization is developed for the Cai-Hu model, describing the formation of biological networks. The model consists of a non linear elliptic equation for the pre…
Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections
Daniele Boffi, Abdul Halim, Gopal Priyadarshi
In this paper we discuss reduced order models for the approximation of parametric eigenvalue problems. In particular, we are interested in the presence of intersections or clusters…
Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression
Fleurianne Bertrand, Daniele Boffi, Abdul Halim
In this article, we propose a data-driven reduced basis (RB) method for the approximation of parametric eigenvalue problems. The method is based on the offline and online paradigms…
Asymmetry and condition number of an elliptic-parabolic system for biological network formation
Clarissa Astuto, Daniele Boffi, Jan Haskovec +2
We present results of numerical simulations of the tensor-valued elliptic-parabolic PDE model for biological network formation. The numerical method is based on a non-linear finite…
A parallel solver for FSI problems with fictitious domain approach
Daniele Boffi, Fabio Credali, Lucia Gastaldi +1
We present and analyze a parallel solver for the solution of fluid structure interaction problems described by a fictitious domain approach. In particular, the fluid is modeled by…
A parallel solver for fluid structure interaction problems with Lagrange multiplier
Daniele Boffi, Fabio Credali, Lucia Gastaldi +1
The aim of this work is to present a parallel solver for a formulation of fluid-structure interaction (FSI) problems which makes use of a distributed Lagrange multiplier in the spi…
Unfitted mixed finite element methods for elliptic interface problems
Najwa Alshehri, Daniele Boffi, Lucia Gastaldi
In this paper, new unfitted mixed finite elements are presented for elliptic interface problems with jump coefficients. Our model is based on a fictitious domain formulation with d…
Comparison of two aspects of a PDE model for biological network formation
Clarissa Astuto, Daniele Boffi, Jan Haskovec +2
We compare the solutions of two systems of partial differential equations (PDE), seen as two different interpretations of the same model that describes formation of complex biologi…
A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs
Moataz M. Alghamdi, Daniele Boffi, Francesca Bonizzoni
In this paper we introduce an algorithm based on a sparse grid adaptive refinement, for the approximation of the eigensolutions to parametric problems arising from elliptic partial…