This monograph is the first to provide a comprehensive, self-contained and rigorous
presentation of some of the most powerful preconditioning methods for solving finite element …

We consider multigrid (MG) cycles based on the recursive use of a two‐grid method, in
which the coarse‐grid system is solved by µ⩾ 1 steps of a Krylov subspace iterative method …

The demand for accurate and efficient simulation of geomechanical effects is widely
increasing in the geoscience community. High resolution characterizations of the …

This paper deals with an efficient technique for computing high-quality approximations of
Schur complement matrices to be used in various preconditioners for the iterative solution of …

We analyze a possibility of turning off post-smoothing (relaxation) in geometric multigrid
when used as a preconditioner in preconditioned conjugate gradient (PCG) linear and …

This paper presents a novel class of preconditioners for the iterative solution of the
sequence of symmetric positive‐definite linear systems arising from the numerical …

A hybrid Schwarz/multigrid method for spectral element solvers to the Poisson equation in
R^ 2 R 2 is presented. It extends the additive Schwarz method studied by Lottes and Fischer …

The contribution deals with the development of a 3-D finite-element package called GEM
and its aspirations in demanding mathematical modelling and simulations arising in …

The paper is devoted to Krylov type modifications of the Uzawa method on the operator level
for the Stokes problem in order to accelerate convergence. First block preconditioners and …

This paper uses the general framework of space decomposition—subspace correction for
providing an overview of Schwarz-type preconditioners. The considered preconditioners are …