The Trilinos Project is an effort to facilitate the design, development, integration, and
ongoing support of mathematical software libraries within an object-oriented framework for …

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 …

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

Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …

This book describes why and how to do Scientific Computing for fundamental models of fluid
flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely …

This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …

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 …

IFISS is a graphical Matlab package for the interactive numerical study of incompressible
flow problems. It includes algorithms for discretization by mixed finite element methods and …

We describe an effective solver for the discrete Oseen problem based on an augmented
Lagrangian formulation of the corresponding saddle point system. The proposed method is …

This paper introduces a strategy for automatically generating a block preconditioner for
solving the incompressible Navier--Stokes equations. We consider the" pressure convection …