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 …

Algebraic multigrid methods for large, sparse linear systems are a necessity in many
computational simulations, yet parallel algorithms for such solvers are generally …

We introduce a novel approach to measure the behavior of a geometric operator before and
after coarsening. By comparing eigenvectors of the input operator and its coarsened …

Algebraic multigrid (AMG) is an O(n) solution process for many large sparse linear systems.
A hierarchy of progressively coarser grids which utilize complementary relaxation and …

This paper provides a unified and detailed presentation of root-node--style algebraic
multigrid (AMG). AMG is a popular and effective iterative method for solving large, sparse …

Algebraic multigrid methods solve sparse linear systems Ax=b by automatic construction of a
multilevel hierarchy. This hierarchy is defined by grid transfer operators that must accurately …

A multigrid method is proposed that combines ideas from matrix dependent multigrid for
structured grids and algebraic multigrid for unstructured grids. It targets problems where a …

Multilevel techniques are efficient approaches for solving the large linear systems that arise
from discretized partial differential equations and other problems. While geometric multigrid …

We develop a smoothed aggregation-based algebraic multigrid solver for high-order
discontinuous Galerkin discretizations of the Poisson problem. Algebraic multigrid is a …

SUMMARY A smoothed aggregation‐based algebraic multigrid solver for anisotropic
diffusion problems is presented. Algebraic multigrid is a popular and effective method for …