Preconditioning for sparse linear systems at the dawn of the 21st century: History, current developments, and future perspectives

M Ferronato - International Scholarly Research Notices, 2012 - Wiley Online Library
Iterative methods are currently the solvers of choice for large sparse linear systems of
equations. However, it is well known that the key factor for accelerating, or even allowing for …

Performance models for CPU-GPU data transfers

B Van Werkhoven, J Maassen… - 2014 14th IEEE/ACM …, 2014 - ieeexplore.ieee.org
Many GPU applications perform data transfers to and from GPU memory at regular intervals.
For example because the data does not fit into GPU memory or because of internode …

A parallel hill-climbing refinement algorithm for graph partitioning

D LaSalle, G Karypis - 2016 45th International Conference on …, 2016 - ieeexplore.ieee.org
Graph partitioning is important in distributing workloads on parallel compute systems,
computing sparse matrix re-orderings, and designing VLSI circuits. Refinement algorithms …

Adaptive pattern research for block FSAI preconditioning

C Janna, M Ferronato - SIAM Journal on Scientific Computing, 2011 - SIAM
An adaptive algorithm is presented to generate automatically the nonzero pattern of the
block factored sparse approximate inverse (BFSAI) preconditioner. It is demonstrated that in …

A block FSAI-ILU parallel preconditioner for symmetric positive definite linear systems

C Janna, M Ferronato, G Gambolati - SIAM Journal on Scientific Computing, 2010 - SIAM
A novel parallel preconditioner for symmetric positive definite matrices is developed
coupling a generalized factored sparse approximate inverse (FSAI) with an incomplete LU …

An octree pattern-based massively parallel PCG solver for elasto-static and dynamic problems

A Ankit, J Zhang, S Eisenträger, C Song - Computer Methods in Applied …, 2023 - Elsevier
In this paper, an octree pattern-based massively parallel preconditioned conjugate gradient
(PCG) solver is developed for large-scale elastostatic and implicit elastodynamic …

Mixed constraint preconditioning in computational contact mechanics

M Ferronato, C Janna, G Gambolati - Computer Methods in Applied …, 2008 - Elsevier
Contact mechanics can be addressed numerically by finite elements using either a penalty
formulation or the Lagrange multipliers. The penalty approach leads to a linearized …

FP16 Acceleration in Structured Multigrid Preconditioner for Real-World Applications

Y Zong, P Yu, H Huang, W Xue - … of the 53rd International Conference on …, 2024 - dl.acm.org
Half-precision hardware support is now almost ubiquitous. In contrast to its active use in AI,
half-precision is less commonly employed in scientific and engineering computing. The …

Enhanced block FSAI preconditioning using domain decomposition techniques

C Janna, M Ferronato, G Gambolati - SIAM Journal on Scientific Computing, 2013 - SIAM
Adaptive block factorized sparse approximate inverse (FSAI)(ABF) is a novel algebraic
preconditioner for the cost-effective parallel solution of symmetric positive definite linear …

The role of preconditioning in the solution to FE coupled consolidation equations by Krylov subspace methods

M Ferronato, G Pini, G Gambolati - International journal for …, 2009 - Wiley Online Library
The repeated solution in time of the linear system arising from the finite element integration
of coupled consolidation equations is a major computational effort. This system can be …