1 citations · 2 across the 5 of their papers we have counts for
12 papers
Virtual element approximation of eigenvalue problems
Daniele Boffi, Francesca Gardini, Lucia Gastaldi
We discuss the approximation of eigenvalue problems associated with elliptic partial differential equations using the virtual element method. After recalling the abstract theory, w…
DPG approximation of eigenvalue problems
Fleurianne Bertrand, Daniele Boffi, Henrik Schneider
In this paper, the discontinuous Petrov--Galerkin approximation of the Laplace eigenvalue problem is discussed. We consider in particular the primal and ultra weak formulations of…
On the existence and the uniqueness of the solution to a fluid-structure interaction problem
Daniele Boffi, Lucia Gastaldi
In this paper we consider the linearized version of a system of partial differential equations arising from a fluid-structure interaction model. We prove the existence and the uniq…
Convergence analysis of the scaled boundary finite element method for the Laplace equation
Fleurianne Bertrand, Daniele Boffi, Gonzalo G. de Diego
The scaled boundary finite element method (SBFEM) is a relatively recent boundary element method that allows the approximation of solutions to PDEs without the need of a fundamenta…
An adaptive finite element scheme for the Hellinger--Reissner elasticity mixed eigenvalue problem
Fleurianne Bertrand, Daniele Boffi, Rui Ma
In this paper we study the approximation of eigenvalues arising from the mixed Hellinger--Reissner elasticity problem by using the simple finite element using partial relaxation of…
Convergence of Lagrange finite elements for the Maxwell Eigenvalue Problem in 2D
Daniele Boffi, Johnny Guzman, Michael Neilan
We consider finite element approximations of the Maxwell eigenvalue problem in two dimensions. We prove, in certain settings, convergence of the discrete eigenvalues using Lagrange…