5 papers · 1 filter
Quadrature error estimates on non-matching grids in a fictitious domain framework for fluid-structure interaction problems
Daniele Boffi, Fabio Credali, Lucia Gastaldi
We consider a fictitious domain formulation for fluid-structure interaction problems based on a distributed Lagrange multiplier to couple the fluid and solid behaviors. How to deal…
Virtual element approximation of eigenvalue problems: is the stabilization of the right hand side necessary?
Daniele Boffi, Francesca Gardini, Lucia Gastaldi
The VEM approximation of eigenvalue problems usually involves the appropriate tuning of stabilization parameters, unless self-stabilizing or stabilization-free VEM are used. In thi…
On the stability and conditioning of a fictitious domain formulation for fluid-structure interaction problems
Daniele Boffi, Fabio Credali, Lucia Gastaldi
We consider a distributed Lagrange multiplier formulation for fluid-structure interaction problems in the spirit of the fictitious domain approach. This is an unfitted method, whic…
Advances on the finite element discretization of fluid-structure interaction problems
Najwa Alshehri, Daniele Boffi, Fabio Credali +1
We review the main features of an unfitted finite element method for interface and fluid-structure interaction problems based on a distributed Lagrange multiplier in the spirit of…
A posteriori error estimator for elliptic interface problems in the fictitious formulation
Najwa Alshehri, Daniele Boffi, Lucia Gastaldi
A posteriori error estimator is derived for an elliptic interface problem in the fictitious domain formulation with distributed Lagrange multiplier considering a discontinuous Lagr…