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020			_a9783030061739
024	7		_a10.1007/978-3-030-06173-9 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQA372 _b2019 EB
100	1		_aRüter, Marcus Olavi _eautor _4aut _9672580
245	1	0	_aError Estimates for Advanced Galerkin Methods _cby Marcus Olavi Rüter.
250			_a1st ed. 2019.
264		1	_aCham _bSpringer International Publishing : _bImprint: Springer _c2019.
300			_a1 recurso en línea (XIV, 496 páginas) _b766 ilustraciones, 179 ilustraciones a color
336			_2rdacontent _aTexto _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
347			_atext file _bPDF
490	0		_aLecture Notes in Applied and Computational Mechanics _x1613-7736 _v88
505	0		_aIntroduction -- Newtonian and Eshelbian Mechanics -- Boundary Value Problems -- Galerkin Methods -- Numerical Integration -- Energy Norm A Posteriori Error Estimates -- Goal-oriented A Posteriori Error Estimates in Linearized Elasticity -- Goal-oriented A Posteriori Error Estimates in Finite Hyperelasticity -- Numerical Examples -- The Nonstandard Dyadic Product Operators -- Push-forward and Pull-back Operations -- Tensor derivatives -- A Generalized Nitsche Method -- The J-integral in Elastic FractureMechanics -- Linearizations -- Materials investigated in this monograph -- Functional Analysis-A Synopsis.
520	3		_aThis monograph provides a compendium of established and novel error estimation procedures applied in the field of Computational Mechanics. It also includes detailed derivations of these procedures to offer insights into the concepts used to control the errors obtained from employing Galerkin methods in finite and linearized hyperelasticity. The Galerkin methods introduced are considered advanced methods because they remedy certain shortcomings of the well-established finite element method, which is the archetypal Galerkin (mesh-based) method. In particular, this monograph focuses on the systematical derivation of the shape functions used to construct both Galerkin mesh-based and meshfree methods. The mesh-based methods considered are the (conventional) displacement-based, (dual-)mixed, smoothed, and extended finite element methods. In addition, it introduces the element-free Galerkin and reproducing kernel particle methods as representatives of a class of Galerkin meshfree methods. Including illustrative numerical examples relevant to engineering with an emphasis on elastic fracture mechanics problems, this monograph is intended for students, researchers, and practitioners aiming to increase the reliability of their numerical simulations and wanting to better grasp the concepts of Galerkin methods and associated error estimation procedures.
988			_aPrimersemestre_2020_Engineering
650		7	_2embne _aEcuaciones diferenciales _9139227
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783030061722
776	0	8	_iPrinted edition: _z9783030061746
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-06173-9 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE _n0
998			_b03/2020 _dz _ea _zSI