The Mathematical Theory of Finite Element ...

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Sprache: Englisch

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Beschreibung

This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by researchers in the field but not previously published. The book is ideal for mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes.

Zusammenfassung

Inhaltsverzeichnis

Preface(3rdEd).- Preface(2ndEd).- Preface(1stED).- Basic Concepts.- Sobolev Spaces.- Variational Formulation of Elliptic Boundary Value Problems.- The Construction of a Finite Element of Space.- Polynomial Approximation Theory in Sobolev Spaces.- n-Dimensional Variational Problems.- Finite Element Multigrid Methods.- Additive Schwarz Preconditioners.- Max-norm Estimates.- Adaptive Meshes.- Variational Crimes.- Applications to Planar Elasticity.- Mixed Methods.- Iterative Techniques for Mixed Methods.- Applications of Operator-Interpolation Theory.- References.- Index.

Details

Erscheinungsjahr:	2010
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Texts in Applied Mathematics
Inhalt:	xviii 400 S. 50 s/w Illustr.
ISBN-13:	9781441926111
ISBN-10:	1441926119
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Brenner, Susanne Scott, Ridgway
Auflage:	Third Edition 2008
Hersteller:	Springer Springer US, New York, N.Y. Texts in Applied Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 23 mm
Von/Mit:	Susanne Brenner (u. a.)
Erscheinungsdatum:	29.11.2010
Gewicht:	0,633 kg