The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

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

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 …

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 …

The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

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 book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …

Research in science and technology is progressing at lighting speed. Globalization of
matters of mind and intellect can dramatically reduce the time required to exploit emerging …

3.1 Introduction: boundary layers, instability of centered schemes.... 13 3.2 Stationary
convections: introduction, schemes based on the method of characteristics, upwind …

Acoustic black holes (ABHs) have been shown very efficient to reduce sound radiation in the
air. However, their underwater performance is not clear. In this paper, we consider a Mindlin …