Mathematical Engineering: A Practical Guide

Whiteley, Jonathan

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.

Details

Published by: Springer

Publication Date: 2017-02-03

Format: Hardcover

ISBN-13: 9783319499703

DOI: 10.1007/978-3-319-49971-0

Dimensions: 235cm x155cm

Pages: 232