A primary challenge for a new generation of reservoir simulators is the accurate description
of multiphase flow in highly heterogeneous media and very complex geometries. However …

Algebraic multigrid (AMG) is one of the most effective iterative methods for the solution of
large, sparse linear systems obtained from the discretization of second-order scalar elliptic …

Linear systems arising from discretizations of systems of partial differential equations can be
challenging for algebraic multigrid (AMG), as the design of AMG relies on assumptions …

The combination of iterative Krylov-based eigenvalue algorithms and direct numerical
simulations (DNS) has proven itself an effective and robust tool in solving complex global …

The numerical solution of strongly coupled systems of partial differential equations (PDE
systems) is commonplace in many simulation codes. Typically, large sparse matrix …

The experience with the implicitly coupled pressure–velocity solver has proven that multigrid
methods are the most robust and efficient in solving the system. Until now the usual choice …

The research on multigrid in the 1970s opened revolutionary perspectives for the efficient
solution of discretized elliptic partial differential equations. In spite of this, it took nearly three …

In a sequence of papers, the author examined several statistical affinity measures for
selecting the coarse degrees of freedom (CDOFs) or coarse nodes (Cnodes) in algebraic …

This study investigates multiphysics block preconditioners that are critical in devising
scalable Newton–Krylov iterative solvers for longer time-scale fully implicit fluid plasma …

We present a parallel algebraic multigrid (AMG) algorithm for the implicit solution of the
Darcy problem discretized by the discontinuous Galerkin (DG) method that scales optimally …