The Finite Element Method: An Introduction with Partial Differential Equations

The Finite Element Method: An Introduction with Partial Differential Equations
ISBN-10
0191630349
ISBN-13
9780191630347
Series
The Finite Element Method
Category
Mathematics
Pages
312
Language
English
Published
2011-09-08
Publisher
OUP Oxford
Author
A. J. Davies

Description

The finite element method is a technique for solving problems in applied science and engineering. The essence of this book 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. This book is written at an introductory level, developing all the necessary concepts where required. Consequently, it is well-placed to be used as a textbook 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.

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