11 citations · 11 across the 3 of their papers we have counts for
4 papers
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…
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…
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…