Zohdi T.I. A Finite Element Primer for Beginners: The Basics

Springer, 2015. - 108 pp.
The purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity.Weighted Residuals and Galerkin’s Method for a Generic 1-D Problem.
A Model Problem: 1-D Elastostatics.
A Finite Element Implementation in One Dimension.
Accuracy of the Finite Element Method.
Element-by-Element Iterative Solution Schemes.
Weak Formulations in Three Dimensions.
A Finite Element Implementation in Three Dimensions.
Accuracy of the Finite Element Method.
Time-Dependent Problems.
Summary and Advanced Topics.