About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …

In this review we discuss bifurcation theory in a Banach space setting using the singularity
theory developed by Golubitsky and Schaeffer to classify bifurcation points. The numerical …

A new finite element formulation for convection dominated flows is developed. The basis of
the formulation is the streamline upwind concept, which provides an accurate …

The material covered by this book has been taught by one of the authors in a post-graduate
course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an …

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 …

The purpose and organisation of this book are described in the preface to the first edition
(1988). In preparing this edition minor changes have been made, par ticularly to Chap. 1 …

A new formulation is introduced for enforcing incompressibility in Smoothed Particle
Hydrodynamics (SPH). The method uses a fractional step with the velocity field integrated …

This is the first part of a work dealing with the rigorous error analysis of finite element
solutions of the nonstationary Navier–Stokes equations. Second-order error estimates are …

Stabilized methods are proposed and analyzed for a linearized form of the incompressible
Navier-Stokes equations. The methods are extended and tested for the nonlinear model …

The pressure is a somewhat mysterious quantity in incompressible flows. It is not a
thermodynamic variable as there is no 'equation of state'for an incompressible fluid. It is in …