000 03801nam a22004575i 4500
001 978-3-211-38060-4
003 DE-He213
005 20161121231017.0
007 cr nn 008mamaa
008 100715s2005 au | s |||| 0|eng d
020 _a9783211380604
_9978-3-211-38060-4
024 7 _a10.1007/3-211-38060-4
_2doi
050 4 _aQ342
072 7 _aUYQ
_2bicssc
072 7 _aCOM004000
_2bisacsh
082 0 4 _a006.3
_223
245 1 0 _aAdaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics
_h[electronic resource] /
_cedited by Erwin Stein.
264 1 _aVienna :
_bSpringer Vienna,
_c2005.
300 _aVII, 363 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCISM International Centre for Mechanical Sciences, Courses and Lectures ;
_v416
505 0 _aDuality Techniques for Error Estimation and Mesh Adaptation in Finite Element Methods -- Hierarchical Model and Solution Adaptivity of Thin-walled Structures by the Finite-Elements-Method -- Three Lectures on Error Estimation and Adaptivity -- Hierarchic Modelling in Elasticity by generalized p- and hp-FEM -- Constitutive Relation Error Estimators and Adaptivity in Structural Engineering -- Adaptive Methods for Contact Problems.
520 _aThis 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.
650 0 _aEngineering.
650 0 _aNumerical analysis.
650 0 _aComputational intelligence.
650 1 4 _aEngineering.
650 2 4 _aComputational Intelligence.
650 2 4 _aNumerical Analysis.
700 1 _aStein, Erwin.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783211269756
830 0 _aCISM International Centre for Mechanical Sciences, Courses and Lectures ;
_v416
856 4 0 _uhttp://dx.doi.org/10.1007/3-211-38060-4
912 _aZDB-2-ENG
950 _aEngineering (Springer-11647)
999 _c507246
_d507246