The Finite Element Method: Fundamentals and Applications
The Finite Element Method: Fundamentals and Applications demonstrates the generality of the finite element method by providing a unified treatment of fundamentals and a broad coverage of applications. Topics covered include field problems and their approximate solutions; the variational method based...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Saint Louis
Elsevier Science
2014
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Schlagworte: | |
Online-Zugang: | FAW01 |
Zusammenfassung: | The Finite Element Method: Fundamentals and Applications demonstrates the generality of the finite element method by providing a unified treatment of fundamentals and a broad coverage of applications. Topics covered include field problems and their approximate solutions; the variational method based on the Hilbert space; and the Ritz finite element method. Finite element applications in solid and structural mechanics are also discussed.Comprised of 16 chapters, this book begins with an introduction to the formulation and classification of physical problems, followed by a review of field or continuum problems and their approximate solutions by the method of trial functions. It is shown that the finite element method is a subclass of the method of trial functions and that a finite element formulation can, in principle, be developed for most trial function procedures. Variational and residual trial function methods are considered in some detail and their convergence is examined. After discussing the calculus of variations, both in classical and Hilbert space form, the fundamentals of the finite element method are analyzed. The variational approach is illustrated by outlining the Ritz finite element method. The application of the finite element method to solid and structural mechanics is also considered.This monograph will appeal to undergraduate and graduate students, engineers, scientists, and applied mathematicians |
Beschreibung: | Description based on publisher supplied metadata and other sources |
Beschreibung: | 1 online resource (337 pages) |
ISBN: | 9781483218915 9780125216500 |
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Datensatz im Suchindex
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author | Norrie, Douglas H. |
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discipline | Bauingenieurwesen |
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institution | BVB |
isbn | 9781483218915 9780125216500 |
language | English |
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spelling | Norrie, Douglas H. Verfasser aut The Finite Element Method Fundamentals and Applications Saint Louis Elsevier Science 2014 © 1973 1 online resource (337 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources The Finite Element Method: Fundamentals and Applications demonstrates the generality of the finite element method by providing a unified treatment of fundamentals and a broad coverage of applications. Topics covered include field problems and their approximate solutions; the variational method based on the Hilbert space; and the Ritz finite element method. Finite element applications in solid and structural mechanics are also discussed.Comprised of 16 chapters, this book begins with an introduction to the formulation and classification of physical problems, followed by a review of field or continuum problems and their approximate solutions by the method of trial functions. It is shown that the finite element method is a subclass of the method of trial functions and that a finite element formulation can, in principle, be developed for most trial function procedures. Variational and residual trial function methods are considered in some detail and their convergence is examined. After discussing the calculus of variations, both in classical and Hilbert space form, the fundamentals of the finite element method are analyzed. The variational approach is illustrated by outlining the Ritz finite element method. The application of the finite element method to solid and structural mechanics is also considered.This monograph will appeal to undergraduate and graduate students, engineers, scientists, and applied mathematicians Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Anwendung (DE-588)4196864-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Anwendung (DE-588)4196864-5 s 1\p DE-604 de Vries, Gerard Sonstige oth Erscheint auch als Druck-Ausgabe Norrie, Douglas H . The Finite Element Method : Fundamentals and Applications 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Norrie, Douglas H. The Finite Element Method Fundamentals and Applications Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Anwendung (DE-588)4196864-5 gnd |
subject_GND | (DE-588)4017233-8 (DE-588)4196864-5 |
title | The Finite Element Method Fundamentals and Applications |
title_auth | The Finite Element Method Fundamentals and Applications |
title_exact_search | The Finite Element Method Fundamentals and Applications |
title_full | The Finite Element Method Fundamentals and Applications |
title_fullStr | The Finite Element Method Fundamentals and Applications |
title_full_unstemmed | The Finite Element Method Fundamentals and Applications |
title_short | The Finite Element Method |
title_sort | the finite element method fundamentals and applications |
title_sub | Fundamentals and Applications |
topic | Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Anwendung (DE-588)4196864-5 gnd |
topic_facet | Finite element method Finite-Elemente-Methode Anwendung |
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