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Record Nr. |
UNINA9910825031703321 |
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Autore |
Akin J. E |
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Titolo |
Finite element analysis with error estimators : an introduction to the FEM and adaptive error analysis for engineering students / / J.E. Akin |
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Pubbl/distr/stampa |
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ISBN |
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1-281-01611-X |
9786611016111 |
0-08-047275-3 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (465 p.) |
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Disciplina |
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Soggetti |
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Finite element method |
Structural analysis (Engineering) |
Error analysis (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Cover; Front matter; Half Title Page; Title Page; Copyright; Contents; Preface; Features of the text and accompanying resources; Notation; 1. Introduction; 1.1 Finite element methods; 1.2 Capabilities of FEA; 1.3 Outline of finite element procedures; 1.4 Assembly into the system equations; 1.5 Error concepts; 1.6 Exercises; 1.7 Bibliography; 2. Mathematical preliminaries; 2.1 Introduction; 2.2 Linear spaces and norms; 2.3 Sobolev norms; 2.4 Dual problem, self-adjointness; 2.5 Weighted residuals; 2.6 Boundary condition terms; 2.7 Adding more unknowns; 2.8 Numerical integration |
2.9 Integration by parts 2.10 Finite element model problem; 2.11 Continuous nodal flux recovery; 2.12 A one-dimensional example error analysis; 2.13 General boundary condition choices; 2.14 General matrix partitions; 2.15 Elliptic boundary value problems; 2.16 Initial value problems; 2.17 Eigen-problems; 2.18 Equivalent forms; 2.19 Exercises; 2.20 Bibliography; 3. Element interpolation and local coordinates; 3.1 Introduction; 3.2 Linear interpolation; 3.3 Quadratic interpolation; 3.4 Lagrange interpolation; 3.5 Hermitian interpolation; 3.6 Hierarchical interpolation |
3.7 Space-time interpolations 3.8 Nodally exact interpolations; 3.9 |
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