
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.
This text investigates the application of the finite element method as a primary numerical technique for solving boundary and initial-value problems defined by partial differential equations. A. J. Davies provides a structured introduction to the field, building from fundamental weighted-residual concepts to more complex time-dependent and nonlinear systems. The author bridges the gap between theoretical variational approaches and practical computational implementation for students and practitioners.
What You Will Find
Scope Limits
This book is recognized as a standard introductory resource for final-year undergraduate students in engineering and applied mathematics. Experts highlight the clarity of the pedagogical structure and the utility of the provided solutions for self-study and classroom instruction.
Page Count:
463
Publication Date:
2011-01-01
Publisher:
OUP Oxford
ISBN-10:
0191630349
ISBN-13:
9780191630347
No comments yet. Be the first to share your thoughts!