Theory and practice of finite elements

Alexandre Ern, Jean-Luc Guermond - Collection Applied Mathematical Sciences

526 pages, parution le 23/06/2004

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Résumé

This book presents the mathematical theory of finite elements, starting from basic results on approximation theory and finite element interpolation and building up to more recent research topics, such as Discontinuous Galerkin, subgrid viscosity stabilization, and a posteriori error estimation.

The body of the text is organized into three parts plus two appendices collecting the functional analysis results used in the book. The first part develops the theoretical basis for the finite element method and emphasizes the fundamental role of inf-sup conditions. The second part addresses various applications encompassing elliptic PDEs, mixed formulations, first-order PDEs, and the time-dependent versions of these problems. The third part covers implementation issues and should provide readers with most of the practical details needed to write or understand a finite element code.

Written at the graduate level, the text contains numerous examples and exercises and is intended to serve as a graduate textbook. Depending on one's interests, several reading paths can be followed, emphasizing either theoretical results, numerical algorithms, code efficiency, or applications in the engineering sciences.

The book will be useful to researchers and graduate students in mathematics, computer science, and engineering.

L'auteur - Alexandre Ern

Alexandre Ern : Professeur à l'Ecole nationale des Ponts et Chaussées

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Sommaire

Theoretical foundations
Approximation of PDEs
Implementation

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Alexandre Ern, Jean-Luc Guermond
Collection	Applied Mathematical Sciences
Parution	23/06/2004
Nb. de pages	526
Format	16 x 24
Couverture	Relié
Poids	878g
Intérieur	Noir et Blanc
EAN13	9780387205748
ISBN13	978-0-387-20574-8