Basic Theory of Finite Element Method

This book is an introduction to the basic theory of the finite element method.
In addition, it formulates a scheme for finite element computation of
elasticity problems and provides typical computer programs for implementing
the finite element method. The basic concepts and key techniques involved in
finite element computation are presented to enable readers to quickly grasp
the knowledge system of the finite element method. Main contents include: (1)
introduction of finite element method; (2) fundamentals of elasticity
mechanics; (3) weak form of equivalent integration; (4) elements and shape
functions; (5) isoparametric element and numerical integration; (6) finite
element computation scheme of elasticity problems; (7) solutions of linear
algebraic equations; (8) error estimation and adaptive analysis; (9) programs
of finite element method. This book is intended for undergraduate and
postgraduate students majoring in engineering mechanics, civil engineering,
and mining engineering. It provides also reference for researchers in related
fields. To facilitate teaching and learning, this book provides selected
homework exercises and programming projects with well-designed solutions.
Online course and the source code of the related programs are also available.