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OverviewThis 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. Full Product DetailsAuthor: Jonathan WhiteleyPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 1st ed. 2017 Weight: 0.454kg ISBN: 9783319842882ISBN 10: 3319842889 Pages: 232 Publication Date: 13 July 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsAn overview of the finite element method.- A first example.- Linear boundary value problems.- Higher order basis functions.- Nonlinear boundary value problems.- Systems of ordinary differential equations.- Linear elliptic partial differential equations.- More general elliptic problems.- Quadrilateral elements.- Higher order basis functions.- Nonlinear elliptic partial differential equations.- Systems of elliptic equations.- Parabolic partial differential equations.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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