199 citations · 431 across the 51 of their papers we have counts for
11 papers · 2 filters
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…