







1. 
Record Nr. 
UNINA9910465743103321 


Autore 
Davies Alan J 


Titolo 
The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies 







Pubbl/distr/stampa 


Oxford ; ; New York, : Oxford University Press, 2011 







ISBN 

1283426900 
9786613426901 
0191630330 








Edizione 
[2nd ed.] 





Descrizione fisica 

1 online resource (308 p.) 






Disciplina 






Soggetti 

Finite element method 
Numerical analysis 
Electronic books. 








Lingua di pubblicazione 






Formato 
Materiale a stampa 





Livello bibliografico 
Monografia 





Note generali 

Description based upon print version of record. 






Nota di bibliografia 

Includes bibliographical references and index. 






Nota di contenuto 

Cover; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Selfadjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Nonhomogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The RayleighRitz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for timedependent 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 Higherorder elements: the isoparametric concept; 4.1 A twopoint boundaryvalue problem; 4.2 Higherorder rectangular elements; 4.3 Higherorder triangular elements 
4.4 Two degrees of freedom at each node4.5 Condensation of internal 



