Since the early 1990s, there has been a strongly increasing demand for more efficient
methods to solve large sparse, unstructured linear systems of equations. For practically …

This chapter surveys the techniques that are necessary for constructing computationally
efficient parallel multigrid solvers. Both geometric and algebraic methods are considered …

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 …

Abstract hypre is a software library for the solution of large, sparse linear systems on
massively parallel computers. Its emphasis is on modern powerful and scalable …

Driven by the need to solve linear systems arising from problems posed on extremely large,
unstructured grids, there has been a recent resurgence of interest in algebraic multigrid …

The hypre software library provides high performance preconditioners and solvers for the
solution of large, sparse linear systems on massively parallel computers. One of its attractive …

Algebraic multigrid (AMG) is a very efficient iterative solver and preconditioner for large
unstructured sparse linear systems. Traditional coarsening schemes for AMG can, however …

Efficient numerical solvers for sparse linear systems are crucial in science and engineering.
One of the fastest methods for solving large-scale sparse linear systems is algebraic …

The development of high performance, massively parallel computers and the increasing
demands of computationally challenging applications have necessitated the development of …

Large sparse linear systems of equations are ubiquitous in science and engineering, such
as those arising from discretizations of partial differential equations. Algebraic multigrid …