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Record Nr. |
UNINA9910828886203321 |
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Autore |
Davies Alan J |
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Titolo |
The finite element method : an introduction with partial differential equations / / A.J. Davies |
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Pubbl/distr/stampa |
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Oxford ; ; New York, : Oxford University Press, 2011 |
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ISBN |
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0-19-163034-9 |
1-283-42690-0 |
9786613426901 |
0-19-163033-0 |
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Edizione |
[2nd ed.] |
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Descrizione fisica |
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1 online resource (308 p.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Finite element method |
Numerical analysis |
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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; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Self-adjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Non-homogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The Rayleigh-Ritz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for time-dependent problems; 2.10 Exercises and solutions; 3 The finite element method for elliptic problems |
3.1 Difficulties associated with the application of weighted residual methods3.2 Piecewise application of the Galerkin method; 3.3 Terminology; 3.4 Finite element idealization; 3.5 Illustrative problem involving one independent variable; 3.6 Finite element equations for Poisson's equation; 3.7 A rectangular element for Poisson's equation; 3.8 A triangular element for Poisson's equation; 3.9 Exercises and solutions; 4 Higher-order elements: the isoparametric concept; 4.1 A two-point boundary-value problem; 4.2 Higher-order rectangular elements; 4.3 Higher-order triangular elements |
4.4 Two degrees of freedom at each node4.5 Condensation of internal |
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