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 sixth editions of these seminal books deliver the most up to date and comprehensive
reference yet on the finite element method for all engineers and mathematicians. Renowned …

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

The FETI method and its two‐level extension (FETI‐2) are two numerically scalable domain
decomposition methods with Lagrange multipliers for the iterative solution of second‐order …

The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

A preconditioner for substructuring based on constrained energy minimization concepts is
presented. The preconditioner is applicable to both structured and unstructured meshes and …

Solving optimization problems in complex systems often requires the implementation of
advanced mathematical techniques. Quadratic programming (QP) is one technique that …

We blend dual and primal domain decomposition approaches to construct a fast iterative
method for the solution of large-scale systems of equations arising from the finite element …

We prove an abstract convergence estimate for the Algebraic Multigrid Method with
prolongator defined by a disaggregation followed by a smoothing. The method input is the …

The modern design of industrial structures leads to very complex simulations characterized
by nonlinearities, high heterogeneities, tortuous geometries... Whatever the modelization …