4 citations · 5 across the 7 of their papers we have counts for
8 papers
A unified variational framework for augmented Lagrangian preconditioning of saddle point systems: applications to mixed-dimensional and fictitious domain methods
Michele Benzi, Marco Feder, Luca Heltai +1
We present a general framework to derive augmented Lagrangian preconditioners for saddle point systems arising from mixed finite element discretizations. Our approach is based on a…
R3MG-C: a high-order algebraic-geometric multilevel preconditioner for continuous finite element discretizations
Davide Polverino, Marco Feder, Luca Heltai
Algebraic multigrid (AMG) methods are robust and efficient black-box preconditioners for linear systems arising from low-order discretizations of elliptic partial differential equa…
Augmented Lagrangian preconditioners for fictitious domain formulations of elliptic interface problems
Michele Benzi, Marco Feder, Luca Heltai +1
We present a novel augmented Lagrangian (AL) preconditioner for the solution of linear systems arising from finite element discretizations of elliptic interface problems with jump…
An agglomeration-based multigrid solver for the discontinuous Galerkin discretization of cardiac electrophysiology
Marco Feder, Pasquale Claudio Africa
This work presents a novel agglomeration-based multilevel preconditioner designed to accelerate the convergence of iterative solvers for linear systems arising from the discontinuo…
Scalable augmented Lagrangian preconditioners for fictitious domain problems
Michele Benzi, Marco Feder, Luca Heltai +1
We present preconditioning techniques to solve linear systems of equations with a block two-by-two and three-by-three structure arising from finite element discretizations of the f…
Matrix-free implementation of the non-nested multigrid method
Marco Feder, Luca Heltai, Martin Kronbichler +1
Traditionally, the geometric multigrid method is used with nested levels. However, the construction of a suitable hierarchy for very fine and unstructured grids is, in general, hig…
R3MG: R-tree based agglomeration of polytopal grids with applications to multilevel methods
Marco Feder, Andrea Cangiani, Luca Heltai
We present a novel approach to perform agglomeration of polygonal and polyhedral grids based on spatial indices. Agglomeration strategies are a key ingredient in polytopal methods…
A comparison of non-matching techniques for the finite element approximation of interface problems
Daniele Boffi, Andrea Cangiani, Marco Feder +2
We perform a systematic comparison of various numerical schemes for the approximation of interface problems. We consider unfitted approaches in view of their application to possibl…