This paper provides an overview of AMG methods for solving large-scale systems of
equations, such as those from discretizations of partial differential equations. AMG is often …

Linear solvers for reservoir simulation applications are the objective of this review.
Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set …

This article has two main objectives: one is to describe some extensions of an adaptive
Algebraic Multigrid (AMG) method of the form previously proposed by the first and third …

The numerical simulation of modern engineering problems can easily incorporate millions or
even billions of unknowns. In several applications, sparse linear systems with symmetric …

In this paper, we consider a classical algebraic multigrid (AMG) form of optimal interpolation
that directly minimizes the two-grid convergence rate and compare it with a so-called ideal …

The numerical simulation of structural mechanics applications via finite elements usually
requires the solution of large-size linear systems, especially when accurate results are …

A preconditioning framework for the coupled problem of frictional contact mechanics and
fluid flow in the fracture network is presented. We focus on a blended finite element/finite …

Coarsening is a crucial component of algebraic multigrid (AMG) methods for iteratively
solving sparse linear systems arising from scientific and engineering applications. Its …

This book provides a thorough understanding of fluid dynamics and heat and mass transfer.
The Second Edition contains new chapters on mesh generation and computational …

This paper proposes improving the solve time of a bootstrap algebraic multigrid (AMG)
designed previously by the authors. This is achieved by incorporating the information, a set …