This article surveys preconditioning techniques for the iterative solution of large linear
systems, with a focus on algebraic methods suitable for general sparse matrices. Covered …

The computational solution of problems can be restricted by the availability of solution
methods for linear (ized) systems of equations. In conjunction with iterative methods …

This book offers a comprehensive presentation of some of the most successful and popular
domain decomposition preconditioners for finite and spectral element approximations of …

This book is the first monograph providing an introduction to and an overview of numerical
methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations …

Before applying multigrid methods to a project, mathematicians, scientists, and engineers
need to answer questions related to the quality of convergence, whether a development will …

A parallel version of the algebraic recursive multilevel solver (ARMS) is developed for
distributed computing environments. The method adopts the general framework of …

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

The recent advances in microarchitectural bone imaging disclose the possibility to assess
both the apparent density and the trabecular microstructure of intact bones in a single …

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

Hierarchical (H-) matrices provide a data-sparse way to approximate fully populated
matrices. The two basic steps in the construction of an H-matrix are (a) the hierarchical …