Finite Element Methods

A Practical Guide
Softcover Nachdruck of the original 1. Auflage 2017
ISBN: 978-3-319-84288-2
Verlag: Springer International Publishing

Buch, Englisch, 232 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 376 g

Reihe: Mathematical Engineering

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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Whiteley, Jonathan

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Statik, Dynamik, Kinetik, Kinematik
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

An 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.