Theory and Practice of Finite Elements: 159 (Applied Mathematical Sciences) - Tapa blanda

Ern, Alexandre; Guermond, Jean-Luc

 
9781441919182: Theory and Practice of Finite Elements: 159 (Applied Mathematical Sciences)
Tapa blanda
ISBN 10: 144191918X ISBN 13: 9781441919182
Editorial: Springer, 2010

Sinopsis

This book presents a mathematical theory of finite elements. Recent developments are covered in detail. Several reading paths are proposed, allowing for a readership with diverse interests. Engineers and applications-oriented researchers will find it useful. It can also be used as a graduate-level textbook.

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De la contraportada

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.

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Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
144191918X
ISBN 13 
9781441919182
Encuadernación
Tapa blanda
Número de páginas
544
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9780387205748: Theory and Practice of Finite Elements: 159 (Applied Mathematical Sciences, 159)

Edición Destacada

ISBN 10:  0387205748 ISBN 13:  9780387205748
Editorial: Springer, 2004
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