11 citations · 12 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
Splitting schemes for a Lagrange multiplier formulation of FSI with immersed thin-walled structure: stability and convergence analysis
Michele Annese, Miguel A. Fernández, Lucia Gastaldi
The numerical approximation of incompressible fluid-structure interaction problems with Lagrange multiplier is generally based on strongly coupled schemes. This delivers unconditio…
Approximation of PDE eigenvalue problems involving parameter dependent matrices
Daniele Boffi, Francesca Gardini, Lucia Gastaldi
We discuss the solution of eigenvalue problems associated with partial differential equations that can be written in the generalized form $\m{A}x=λ\m{B}x$, where the matrices $\m{A…
Analysis of finite element approximations of Stokes equations with non-smooth data
Ricardo G. Durán, Lucia Gastaldi, Ariel L. Lombardi
In this paper we analyze the finite element approximation of the Stokes equations with non-smooth Dirichlet boundary data. To define the discrete solution, we first approximate the…
Higher-order time-stepping schemes for fluid-structure interaction problems
Daniele Boffi, Lucia Gastaldi, Sebastian Wolf
We consider a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain m…