This survey paper is based on three talks given by the second author at the London
Mathematical Society Durham Symposium on Computational Linear Algebra for Partial …

Incompressible flow problems appear in many models of physical processes and
applications. Their numerical simulation requires in particular a spatial discretization. Finite …

In this paper we introduce a new preconditioner for linear systems of saddle point type
arising from the numerical solution of the Navier–Stokes equations. Our approach is based …

A novel iterative algorithm, called the bi-partitioned method, is introduced for efficiently
solving the system of linear equations that arises from the stabilized finite element …

Abstract The MOOSE Navier–Stokes module solves mass, momentum, energy, and passive
scalar conservation equations in the context of fluid flow. The module supports solution of …

This paper concerns an iterative technique for solving discretized Stokes-type equations
with varying viscosity coefficient. We build a special block preconditioner for the discrete …

We analyze a class of modified augmented Lagrangian-based preconditioners for both
stable and stabilized finite element discretizations of the steady incompressible Navier …

Boundary conditions are analyzed for a class of preconditioners used for the incompressible
Navier-Stokes equations. We consider pressure convection-diffusion preconditioners [SIAM …

We present a parallelized geometric multigrid (GMG) method, based on the cell-based
Vanka smoother, for higher order space-time finite element methods (STFEM) to the …

In this paper, we discuss various techniques for solving the system of linear equations that
arise from the discretization of the incompressible Stokes equations by the finite‐element …