Error Estimates for Advanced Galerkin Methods (Record no. 76837)
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| 000 -LEADER | |
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| fixed length control field | 03971nam a22005415i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-030-06173-9 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801214850.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 191107s2019 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030061739 |
| -- | 978-3-030-06173-9 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.105 |
| 100 1# - AUTHOR NAME | |
| Author | Rüter, Marcus Olavi. |
| 245 10 - TITLE STATEMENT | |
| Title | Error Estimates for Advanced Galerkin Methods |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIV, 496 p. 766 illus., 179 illus. in color. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture Notes in Applied and Computational Mechanics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Introduction -- 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 ## - SUMMARY, ETC. | |
| Summary, etc | This 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. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-06173-9 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2019. |
| 336 ## - | |
| -- | text |
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| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
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| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
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| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mechanics, Applied. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Solids. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematics—Data processing. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Computational intelligence. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Solid Mechanics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Computational Science and Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Computational Intelligence. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 1860-0816 ; |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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