Jonathan Whiteley ... 232 pages - Publisher: Springer; 1st edition (January, 2017) ... Language: English - ISBN-10: 331949970X - ISBN-13: 978-3319499703 ...
This book presents practical applications of the finite element method
to general differential equations. The underlying strategy of deriving
the finite element solution is introduced using linear ordinary
differential equations, thus allowing the basic concepts of the finite
element solution to be introduced without being obscured by the
additional mathematical detail required when applying this technique to
partial differential equations. The author generalizes the presented
approach to partial differential equations which include nonlinearities.
The book also includes variations of the finite element method such as
different classes of meshes and basic functions. Practical application
of the theory is emphasised, with development of all concepts leading
ultimately to a description of their computational implementation
illustrated using Matlab functions. The target audience primarily
comprises applied researchers and practitioners in engineering, but the
book may also be beneficial for graduate students.