GIMC SIMAI Young 2026

Session

MS08 - Robust Preconditioning Techniques for Scientific Applications

4 Jun 2026, 16:30

Pisa

11. A Mixed Precision Preconditioner for a Runge–Kutta Discretization of Instationary Incompressible Viscous Fluid Flow Problems

Santolo Leveque (Charles University)

04/06/2026, 16:30

MS08 - Robust Preconditioning Techniques for Scientific Applications

The flow of a Newtonian incompressible viscous fluid is a fundamental problem in computational sciences and engineering. In this case, the governing equations are the incompressible Navier–Stokes equations. For decades, researches have focused their interest on devising numerical methods for the solution of this problem. The non-linearity of the incompressible Navier–Stokes equations requires...

29. An algebraic-geometric multilevel preconditioner for continuous finite element discretizations

Davide Polverino (Università di Pisa)

04/06/2026, 16:45

MS08 - Robust Preconditioning Techniques for Scientific Applications

In this talk, we introduce a new hybrid approach for building geometrically informed algebraic multigrid preconditioners. Classical geometric multigrid methods are well known to be optimal preconditioners for linear systems arising from elliptic partial differential equations (PDEs). However, for very fine or complex geometries, the generation of a hierarchy might be not feasible. This issue...

55. A non-overlapping Schwarz preconditioner for PolyDG methods in brain electrophysiology

Caterina B. Leimer Saglio

04/06/2026, 17:00

MS08 - Robust Preconditioning Techniques for Scientific Applications

Accurate, scalable numerical simulations are crucial for studying large-scale brain electrophysiology. We propose a massively parallel, two-level non-overlapping Schwarz preconditioner for the efficient solution of the algebraic systems arising from high-order polytopal Discontinuous Galerkin (PolyDG) discretizations of brain electrophysiology models. The study focuses on the monodomain...

75. Transforming smoothers for elliptic interface problems

Fabio Credali (King Abdullah University of Science and Technology)

04/06/2026, 17:15

MS08 - Robust Preconditioning Techniques for Scientific Applications

We consider the fictitious domain formulation for elliptic interface problems introduced in [1]. The linear system arising from the mixed finite element discretization exhibits a double saddle-point structure, which makes it challenging to solve.
In this talk, we discuss the application of transforming smoothers [2] as an effective preconditioning technique.

References
[1] D. Boffi, L....

99. Efficient solution of discontinuous Galerkin approximation of the non-linear thermo-poroelastic problem

Stefano Bonetti (stefano.bonetti@polimi.it)

04/06/2026, 17:30

MS08 - Robust Preconditioning Techniques for Scientific Applications

The efficient and accurate simulation of coupled multi-physics phenomena is a fundamental challenge in various scientific and engineering disciplines. Such problems, which involve the interplay of multiple physical processes, often result in large and potentially ill-conditioned linear systems. The computational demand associated with solving these systems can be prohibitively high. As a...

128. Efficient and Stable Dirichlet–Neumann Methods for Fluid–Structure Interaction with Large Added Mass

Francesca Renzi (Politecnico di Milano)

04/06/2026, 17:45

MS08 - Robust Preconditioning Techniques for Scientific Applications

Solving fluid-structure interaction problems when the fluid and structure densities are similar (large added mass), as in hemodynamics, is challenging because the stability and convergence properties of the adopted numerical scheme can be compromised. This is especially true for partitioned schemes, whose modularity is otherwise attractive, since it allows exploiting the favorable numerical...