3 papers
math.NA2026
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…
math.NA2025
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…
math.NA2024
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…