The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are:(1) Weighted residual methods and Galerkin approximations,(2) A model problem for one-dimensional linear elastostatics,(3) Weak formulations in one dimension,(4) Minimum principles in one dimension,(5) Error estimation in one dimension,(5) Construction of Finite Element basis functions in one dimension,(6) Gaussian Quadrature,(7) Iterative solvers and element by element data structures,(8) A model problem for three-dimensional linear elastostatics,(9) Weak formulations in three dimensions,(10) Basic rules for element construction in three-dimensions,(11) Assembly of the system and solution schemes,(12) Assembly of the system and solution schemes,(13) An introduction to time-dependent problems and(14) A brief introduction to rapid computation based on domain decomposition and basic parallel processing.

A Finite Element Primer for Beginners: The Basics (SpringerBriefs in Applied Sciences and Technology)

Tarek I. Zohdi

Reference

Springer

Now available in English - the best selling German textbook Statics is the first volume of a three-volume textbook on Engineering Mechanics. It is the intention of the authors to present to engineering students the basic concepts and principles of mechanics in the clearest and simplest form possible. An important objective of this book is to develop problem solving skills in a systematic manner. The straightforward and flexible approach of the text to the theory of mechanics makes it accessible to students from different disciplines and allows for different educational backgrounds. Another aim of this book is to provide engineering students as well as practising engineers with a solid foundation to help them bridge the gaps between undergraduate studies, advanced courses on mechanics and practical engineering problems. Strong evidence that all these objectives have been achieved is the success of the original German version of this textbook series. It is the bestselling textbook for more than two decades and its 10th edition has just been published. The book contains numerous examples, along with their complete solutions. Emphasis is placed upon student participation in problem solving. The contents of the book correspond to the topics normally covered in courses on basic engineering mechanics at universities and colleges.

Engineering Mechanics 1: Statics

Science & Math

Werner Hauger

Wolfgang A. Wall

Jörg Schröder

Wolfgang A. Wall Dietmar Gross,Werner Hauger,Jorg Schroder,J?rg Schroder

Physics

Springer, Verlag

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Books by Tarek I. Zohdi