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 …

Large sparse linear systems of equations are ubiquitous in science, engineering and
beyond. This open access monograph focuses on factorization algorithms for solving such …

This work discusses a general approach for preconditioning the block Jacobian matrix
arising from the discretization and linearization of coupled multiphysics problem. The …

Simulation of multiphase poromechanics involves solving a multiphysics problem in which
multiphase flow and transport are tightly coupled with the porous medium deformation. To …

In this study, we present an efficient thread-adaptive sparse approximate inverse
preconditioning algorithm on multiple GPUs, called GSPAI-Adaptive. For our proposed …

The sparse approximate inverse (SPAI) preconditioner has proven to be effective in
accelerating the convergence of iterative methods. Recently, accelerating it on the graphics …

Multiphase flow is a critical process in a wide range of applications, including oil and gas
recovery, carbon sequestration, and contaminant remediation. Numerical simulation of …

We focus on the fully implicit solution of the linear systems arising from a three-field mixed
finite element approximation of Biot's poroleasticity equations. The objective is to develop …

The dynamic sparse approximate inverse (SPAI) preconditioner has proven to be effective in
accelerating the convergence of iterative methods for large linear systems. Recently …

In this study, we present a new heuristic sparse approximate inverse (SPAI) preconditioning
algorithm on graphics processing unit (GPU), called HeuriSPAI. For the proposed …