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 Finite 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 many 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

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