5 citations · 7 across the 3 of their papers we have counts for
6 papers
On the Choice of Continuous and Discontinuous Lagrange Multipliers in Fictitious-Domain Methods
Najwa Alshehri, Shumoua F. Alrzqi
This article examines the Fictitious-Domain approach using Distributed Lagrange Multipliers (FD-DLM), a method that handles elliptic interface problems with separate meshes without…
A Reduced Coupling-Space Multigrid Schur Preconditioner for Fictitious-Domain Interface Problems
Najwa Alshehri
We study a reduced multigrid Schur preconditioner for the fictitious-domain method with distributed Lagrange multipliers applied to elliptic interface problems. The method replaces…
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…
Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems
Najwa Alshehri, Daniele Boffi, Chayapol Chaoveeraprasit
We investigate the performance of multigrid preconditioners for solving linear systems arising from finite element discretizations of elliptic interface problems using the Fictitio…
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…
Unfitted mixed finite element methods for elliptic interface problems
Najwa Alshehri, Daniele Boffi, Lucia Gastaldi
In this paper, new unfitted mixed finite elements are presented for elliptic interface problems with jump coefficients. Our model is based on a fictitious domain formulation with d…