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001 978-3-319-20553-3
003 DE-He213
005 20220801221949.0
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008 150805s2016 sz | s |||| 0|eng d
020 _a9783319205533
_9978-3-319-20553-3
024 7 _a10.1007/978-3-319-20553-3
_2doi
050 4 _aTA349-359
072 7 _aTGB
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGB
_2thema
082 0 4 _a620.1
_223
245 1 0 _aVerifying Calculations - Forty Years On
_h[electronic resource] :
_bAn Overview of Classical Verification Techniques for FEM Simulations /
_cedited by Ludovic Chamoin, Pedro Díez.
250 _a1st ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aVII, 94 p. 20 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-5318
505 0 _aPreface, by Ludovic Chamoin and Pedro Díez -- Explicit Residual Methods, by Yvon Maday -- Residual type error estimators, by Antonio Huerta and Pedro Díez -- Fundaments of recovery-based error estimation and bounding, by E. Nadal and J.J. Ródenas -- The Constitutive Relation Error Method: a general verification tool, by Pierre Ladevèze and Ludovic Chamoin.
520 _aThis work provides an overview of a posteriori error assessment techniques for Finite Element (FE) based numerical models. These tools aim at estimating and controlling the discretization error in scientific computational models, being the basis for the numerical verification of the FE solutions. The text discusses the capabilities and limitations of classical methods to build error estimates which can be used to control the quality of numerical simulations and drive adaptive algorithms, with a focus on Computational Mechanics engineering applications. Fundamentals principles of residual methods, smoothing (recovery) methods, and constitutive relation error (duality based) methods are thus addressed along the manuscript. Attention is paid to recent advances and forthcoming research challenges on related topics.  The book constitutes a useful guide for students, researchers, or engineers wishing to acquire insights into state-of-the-art techniques for numerical verification.
650 0 _aMechanics, Applied.
_93253
650 0 _aComputer simulation.
_95106
650 0 _aMathematics—Data processing.
_931594
650 1 4 _aEngineering Mechanics.
_931830
650 2 4 _aComputer Modelling.
_958963
650 2 4 _aComputational Science and Engineering.
_958964
700 1 _aChamoin, Ludovic.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_958965
700 1 _aDíez, Pedro.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_958966
710 2 _aSpringerLink (Online service)
_958967
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319205526
776 0 8 _iPrinted edition:
_z9783319205540
830 0 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-5318
_958968
856 4 0 _uhttps://doi.org/10.1007/978-3-319-20553-3
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c80250
_d80250