Introduction to finite element analysis : formulation, verification, and validation / Barna Szabo, Ivo Babuska

Von:

Szabó, Barna A, 1935- [aut]

Mitwirkende(r):

Babuška, Ivo, 1926-2023 [oth]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Verlag: Hoboken, N.J : Wiley, 2011Auflage: Online-AusgBeschreibung: Online-Ressource (1 online resource (xviii, 364 p.)) : illISBN:

9781283405546
1283405547
9781119993827

Schlagwörter:

Andere physische Formen: 9781119993827 | 9780470977286 | 1283397447 | Druckausg.: Introduction to finite element analysis. 1. ed., 1. publ. Chichester, West Sussex : Wiley, 2011. XVIII, 364 S.MSC: MSC: *65-01 | 65M60 | 65N30RVK: RVK: SK 910LOC-Klassifikation:

TA347.F5

Online-Ressourcen:

Zugang im Netz des KIT

Zusammenfassung: Intro -- Introduction to Finite Element Analysis -- Contents -- About the Authors -- Series Preface -- Preface -- 1 Introduction -- 1.1 Numerical simulation -- 1.1.1 Conceptualization -- 1.1.2 Validation -- 1.1.3 Discretization -- 1.1.4 Verification -- 1.1.5 Decision-making -- 1.2 Why is numerical accuracy important? -- 1.2.1 Application of design rules -- 1.2.2 Formulation of design rules -- 1.3 Chapter summary -- 2 An outline of the finite element method -- 2.1 Mathematical models in one dimension -- 2.1.1 The elastic bar -- 2.1.2 Conceptualization -- 2.1.3 Validation -- 2.1.4 The scalar elliptic boundary value problem in one dimension -- 2.2 Approximate solution -- 2.2.1 Basis functions -- 2.3 Generalized formulation in one dimension -- 2.3.1 Essential boundary conditions -- 2.3.2 Neumann boundary conditions -- 2.3.3 Robin boundary conditions -- 2.4 Finite element approximations -- 2.4.1 Error measures and norms -- 2.4.2 The error of approximation in the energy norm -- 2.5 FEM in one dimension -- 2.5.1 The standard element2.5.1 The standard element -- 2.5.2 The standard polynomial space -- 2.5.3 Finite element spaces -- 2.5.4 Computation of the coefficient matrices -- 2.5.5 Computation of the right hand side vector -- 2.5.6 Assembly -- 2.5.7 Treatment of the essential boundary conditions -- 2.5.8 Solution -- 2.5.9 Post-solution operations -- 2.6 Properties of the generalized formulation -- 2.6.1 Uniqueness -- 2.6.2 Potential energy -- 2.6.3 Error in the energy norm -- 2.6.4 Continuity -- 2.6.5 Convergence in the energy norm -- 2.7 Error estimation based on extrapolation -- 2.7.1 The root-mean-square measure of stress -- 2.8 Extraction methods -- 2.9 Laboratory exercises -- 2.10 Chapter summary -- 3 Formulation of mathematical models -- 3.1 Notation -- 3.2 Heat conduction -- 3.2.1 The differential equation.PPN: PPN: 807347663Package identifier: Produktsigel: ZDB-26-MYL | ZDB-30-PAD | ZDB-30-PQE | BSZ-30-PQE-K1DLR | BSZ-30-PQE-S2NUFH

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