Book Title : The Finite Element method with An introduction with partial differential equations

Author(s) : A.J Davies

Publisher : Oxford

Edition : Second

Pages : 308

PDf size : 1.82 MB

Book Description:

The finite element method is a technique for solving problems in applied science and engineering. The essence of this eBook is the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. The method is developed for the solution of Poisson’s equation, in a weighted-residual context, and then proceeds to time-dependent and nonlinear problems. The relationship with the variational approach is also explained. The F*inite Element Method with An introduction partial differential equations* by A.J Davies book is written at an introductory level, developing all the necessary concepts where required. Consequently, it is well-placed to be used as a book for a course in finite elements for final year undergraduates, the usual place for studying finite elements. There are worked examples throughout and each chapter has a set of exercises with detailed solutions.

Table of Contents:

- Historical introduction
- Weighted residual and variational method
- The finite element method for elliptic problems
- Higher-order elements: the isoparametric concept
- Further topics in the finite element method
- Convergence of the finite element method
- The boundary element method
- Computational aspects

Appendix A Partial differential equation models in the physical sciences

Appendix B Some integral theorems of the vector calculus

Appendix C A formula for integrating products of area coordinates over a triangle Contents

Appendix D Numerical integration formulae

Appendix E Stehfest’s formula and weights for numerical Laplace transform inversion

References

Index