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CISM International Centre for Mechanical Sciences
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Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics

Editors: Stein, Erwin (Ed.)

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About this book

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 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, con­ tact 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 quan­ tities 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, consider­ ing 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-discretizati- error estimates; (v) The coupling of error-controlled adaptive discretizations and the mathemat­ ical modeling in related subdomains, such as boundary layers. The main goals of adaptivity are reliability and efficiency, combined with in­ sight and access to controls which are independent of the applied discretization methods. By these efforts, new paradigms in Computational Mechanics should be realized, namely verifications and even validations of engineering models.

Table of contents (6 chapters)

Table of contents (6 chapters)
  • Duality Techniques for Error Estimation and Mesh Adaptation in Finite Element Methods

    Pages 1-58

    Rannacher, Rolf

  • Hierarchical Model and Solution Adaptivity of Thin-walled Structures by the Finite-Elements-Method

    Pages 59-147

    Stein, Erwin (et al.)

  • Three Lectures on Error Estimation and Adaptivity

    Pages 149-193

    Hansbo, Peter

  • Hierarchic Modelling in Elasticity by generalized p- and hp-FEM

    Pages 195-256

    Schwab, C.

  • Constitutive Relation Error Estimators and Adaptivity in Structural Engineering

    Pages 257-319

    Ladevèze, Pierre

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-211-38060-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.99
price for USA in USD
  • ISBN 978-3-211-26975-6
  • with online files
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics
Editors
  • Erwin Stein
Series Title
CISM International Centre for Mechanical Sciences
Series Volume
416
Copyright
2005
Publisher
Springer-Verlag Wien
Copyright Holder
CISM Udine
eBook ISBN
978-3-211-38060-4
DOI
10.1007/3-211-38060-4
Softcover ISBN
978-3-211-26975-6
Series ISSN
0254-1971
Edition Number
1
Number of Pages
VII, 363
Topics

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