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Error-Controlled Adaptive Finite Elements in Solid Mechanics
Contributor(s): Stein, Erwin (Editor), Ramm, Ekkehard (Author), Rank, E. (Author)
ISBN: 0471496502     ISBN-13: 9780471496502
Publisher: Wiley
OUR PRICE:   $250.75  
Product Type: Hardcover - Other Formats
Published: December 2002
Qty:
Temporarily out of stock - Will ship within 2 to 5 weeks
Annotation: This book contains the numerical methods, mathematical analysis, algorithms, software aspects and comparative results of a six year joint project of nine German University institutes, supported by the German National Science Foundation (DFG).

It covers new progress for efficient and reliable error estimates mainly of the Finite Element Method for non-linear problems in solid mechanics, as well as efficient re-meshing techniques and solution algorithms.

Topics covered include:

  • Elastoplastic deformations and contact problems

  • Shear localization of inelastic deformations

  • Thin-walled structures

  • Elastodynamics
The authors, all experts in computational mechanics, provide a wealth of new ideas for the next generation of software for adaptive finite elements, which will be of great interest to industry. Each chapter includes the state of the art, comparisons between different methods and the mechanical and mathematical background of the methods addressed. Practising engineers, researchers and students in engineering, applied mathematicians and computer scientists will find new material for developing, maintaining and applying finite element algorithms which reach new heights of approximation quality.
Additional Information
BISAC Categories:
- Technology & Engineering | Materials Science - General
- Technology & Engineering | Mechanical
Dewey: 620.1
LCCN: 2002072168
Physical Information: 1.22" H x 6.89" W x 9.96" (2.04 lbs) 426 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
Zur numerischen Lösung partieller Differentialgleichungen greift man in der Technik häufig auf finite Elemente zurück. Seitdem Computer mit Millionen benötigter Variabler zurechtkommen, ist es zunehmend wichtig, Fehler automatisch abzuschätzen und die Methoden entsprechend anzupassen. Neun Wissenschaftler haben sich in einem sechsjährigen Forschungsprojekt der DFG mit diesem Thema befasst und geben in diesem Band ihre Erfahrungen an weiter. Jedes Kapitel ist in sich geschlossen mit theoretischen und algorithmischen Informationen, Angaben zur Software und durchgerechneten Übungsaufgaben. Besonders interessant sind mehrere sorgfältig erarbeitete Benchmarks von 2D- und 3D-Anwendungen.