Finite Elements : A Gentle Introduction

The finite element method is popular among engineers and scientists as a numerical technique for solving practical problems. At the same time, the links with classical variational methods make the technique of interest to mathematicians. This book introduces the main concepts of the finite element method in a simple and carefully paced manner, using numerical examples wherever possible. Both the theoretical and practical aspects are described and explained. A basic knowledge of engineering mathematics is all that is required, and the style is not formal. The approach and treatment are intended to appeal to the advanced undergraduate or postgraduate, or to the practising engineer who wishes to acquire a deeper understanding of the finite element software that he is using. Front Matter....Pages i-xii Finite elements introduced as bars forming a truss ....Pages 1-21 Some mathematical aspects....Pages 22-36 Towards a systematic method....Pages 37-50 The matrix approach....Pages 51-64 Two-dimensional heat flow....Pages 65-92 Variational form....Pages 93-111 The Galerkin approach....Pages 112-132 Element computation....Pages 133-165 Elasticity....Pages 166-195