This book presents many theoretical and numerical accomplishments performed in collaboration with the following researchers:

Rémi Abgrall, Olivier Allain, Francoise Angrand, Paul Arminjon, Nicolas Barral, Anca Belme, Fayssal Benkhaldoun, Francois Beux, Gautier Brèthes, Véronique Billey, Alexandre Carabias, Romuald Carpentier, Giles Carré, Yves Coudière, Francois Courty, Didier Chargy, Paul-Henri Cournède, Christophe Debiez, Jean-Antoine Desideri, Gérard Fernandez, Loula Fezoui, Jérôme Francescatto, Loic Frazza, Pascal Frey, Paul-Louis George, Aurélien Goudjo, Nicolas Gourvitch, Damien Guégan, Hervé Guillard, Emmanuelle Itam, Marie-Hélène Lallemand, Stéphane Lanteri, Bernard Larrouturou, Anne-Cécile Lesage, David Leservoisier, Francoise Loriot, Mark Loriot, Laurent Loth, Nathalie Marco, Katherine Mer, Victorien Menier, Bijan Mohammadi, Eric Morano, Boniface Nkonga, Géraldine Olivier, Bernadette Palmerio, Gilbert Rogé, Bastien Sauvage, Éric Schall, Hervé Stève, Bruno Stoufflet, Francois Thomasset, Julien Vanharen, Ganesan Vijayasundaram, Cécile Viozat and Stephen Wornom; we also want to apologize to the people we forgot to mention.

Also we want to acknowledge our friends of INRIA and Lemma, and in particular Charles Leca, Olivier Allain, Nathalie and Philippe Boh, for their support. INRIA provided excellent conditions for research and writing of this book to the first three authors. Lemma permitted a rapid industrialization of our mesh adaptation methods.

The first author thanks his advisers, Jean Céa, Roland Glowinski and many thanks also to Charbel Farhat, Jacques Périaux and Roger Peyret.

This study is supported by fp6 and fp7 European progams (AEROSHAPE, HISAC, NODESIM, UMRIDA). The authors and their coworkers were granted access to the HPC resources of CINES/IDRIS under allocations made by GENCI (Grand Equipement National de Calcul Intensif).