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Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue Problem in 3D
Daniele Boffi, Sining Gong, Johnny Guzmán +1
We prove convergence of the Maxwell eigenvalue problem using quadratic or higher Lagrange finite elements on Worsey-Farin splits in three dimensions. To do this, we construct two F…
On the spectrum of the finite element approximation of a three field formulation for linear elasticity
Linda Alzaben, Daniele Boffi
We continue the investigation on the spectrum of operators arising from the discretization of partial differential equations. In this paper we consider a three field formulation re…
Existence, uniqueness, and approximation of a fictitious domain formulation for fluid-structure interactions
Daniele Boffi, Lucia Gastaldi
In this paper we describe a computational model for the simulation of fluid-structure interaction problems based on a fictitious domain approach. We summarize the results presented…
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…
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…