Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics
This course with 6 lecturers intends to present a systematic survey of recent re search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for
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SpringerWienNewYork
CISM COURSES AND LECTURES
Series Editors: The Rectors Giulio Maier - Milan Jean Salen^on - Palaiseau Wilhelm Schneider - Wien
The Secretary General Bemhard Schrefler - Padua
Executive Editor Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 416
ADAPTIVE FINITE ELEMENTS IN LINEAR AND NONLINEAR SOLID AND STRUCTURAL MECHANICS EDITED BY ERWIN STEIN UNIVERSITY OF HANNOVER, GERMANY
SpringerWien NewYork
This volume contains 214 illustrations
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 2005 by CISM, Udine Printed in Italy SPIN 11509127
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN-10 3-211-26975-4 SpringerWienNewYork ISBN-13 978-3-211-26975-6 SpringerWienNewYork
PREFACE
This course with 6 lecturers intends to present a systematic survey of recent research results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and p-adaptive refinement techniques including meshing and remeshing. Challenging applications are of equal importance, including elastic and elastoplastic deformations of solids, contact problems and thin-walled structures. Some major topics should be pointed out, namely: (i) The growing importance of goal-oriented and local error estimates for quantities of interest—in comparison with global error estimates—based on dual finite element solutions; (a) The importance of the p-version of the finite element method in conjunction with parameter-dependent hierarchical approximations of the mathematical model, for example in boundary layers of elastic plates; (Hi) The choice of problem-oriented error measures in suitable norms, considering residual, averaging and hierarchical error estimates in conjunction with the efficiency of the associated adaptive computations; (iv) The importance of implicit local postprocessing with enhanced test spaces in order to get constant-free, i.e. absolute-not only relative-discretizationerror estimates; (v) The coupling of error-controlled adaptive discretizations and the mathematical modeling in related subdomains, such as boundary layers. Th
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