Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics

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indgår i serie CISM International Centre for Mechanical Sciences


Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics
  • Leveringstid 2-4 uger
  • Forventet levering 17-12-2019
Format:
Bog, paperback
Udgivelsesdato:
03-08-2005
Sprog:
Engelsk
Udgave:
2005 ed..
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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.

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Udgivelsesdato:
03-08-2005
ISBN13:
9783211269756
Vægt:
641 g
Dybde:
20 mm
Bredde:
170 mm
Højde:
244 mm
Nummer i serien:
416
Nummer i serien:
416
Format:
Paperback
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  • Bibliotekernes beskrivelse

    Deals with a systematic theoretical and problem-oriented treatment of fundamental topics in the wide area of error-controlled adaptive finite element methods for analyzing engineering structures with elastic and inelastic material behavior applied to engineering structures. 1 Paperback / softback VII, 363 p. With online files/update.

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