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

Springer Verlag; New York, 2004. Hardcover. A Very Good, binding sturdy and intact, some handling/scuffing to boards, cocked, mild crimping to spine edges, small dent top front board edge, slightly bowed boards, without Dust wrapper. A nice, clean and unmarked copy. 4to[quarto or approx. 11.5 x 13.5 inches], 524pp., nomenclature, references, indexed. We pack securely and ship daily with delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.Please note: Oversized books/sets MAY require additional postage then what is quoted for 2.2lb book. Bestandsnummer des Verkäufers SKU1043856

Bibliografische Details

Titel: Theory and Practice of Finite Elements (...

Verlag: Springer

Erscheinungsdatum: 2004

Einband: hardcover

Zustand: Very Good

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.

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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.