Theory and Practice of Finite Elements (Applied Mathematical Sciences, 159)

Ern, Alexandre; Guermond, Jean-Luc

ISBN 10: 0387205748 / ISBN 13: 9780387205748

Verlag: Springer, 2004

Beschreibung

Bestandsnummer des Verkäufers ABLIING23Feb2215580170775

Bibliografische Details

• Titel: Theory and Practice of Finite Elements (Applied Mathematical Sciences, 159)
• Verlag: Springer
• Erscheinungsjahr: 2004
• Sprache: Englisch
• ISBN-10: 0387205748
• ISBN-13: 9780387205748
• Einband: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

This text presenting the mathematical theory of finite elements is organized into three main sections. The first part develops the theoretical basis for the finite element methods, emphasizing inf-sup conditions over the more conventional Lax-Milgrim paradigm. The second and third parts address various applications and practical implementations of the method, respectively. It contains numerous examples and exercises.

Von der hinteren Coverseite

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 and 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 party addresses various applications encompassing elliptic PDE's, 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.