6 papers
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…
Adaptive Mixed FEM for the Stokes eigenvalue problem
Daniele Boffi, Arbaz Khan
In this paper we discuss the optimal convergence of a standard adaptive scheme based on mixed finite element approximation to the solution of the eigenvalue problem associated with…
A nodal ghost method based on variational formulation and regular square grid for elliptic problems on arbitrary domains in two space dimensions
Clarissa Astuto, Daniele Boffi, Giovanni Russo +1
This paper focuses on the numerical solution of elliptic partial differential equations (PDEs) with Dirichlet and mixed boundary conditions, specifically addressing the challenges…