We investigate the performance of multigrid preconditioners for solving linear systems arising from finite element discretizations of elliptic interface problems using the Fictitious Domain with Distributed Lagrange Multipliers (FD-DLM) formulation. Numerical experiments are conducted using continuous and discontinuous finite element spaces for the Lagrange multiplier. Results indicate that multigrid is a promising preconditioner for problems in the FD-DLM formulation.
@article{arxiv.2503.00146,
title = {Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems},
author = {Najwa Alshehri and Daniele Boffi and Chayapol Chaoveeraprasit},
journal= {arXiv preprint arXiv:2503.00146},
year = {2025}
}