
vii
Contents
Preface xiii
Author xvii
1 Introduction 1
1.1 Background 1
1.2 About This Monograph 3
2 Formulation of classical meshless methods 5
2.1 Introduction 5
2.2 Fundamentals of Meshless Methods 6
2.3 Common Steps of Meshless Method 7
2.3.1 Geometry creation 8
2.3.2 Approximation of eld variable 8
2.3.3 Discretisation of governing differential equation 9
2.3.4 Assembly of system of equations 9
2.3.5 Solving assembled system of equations 10
2.4 Classical Meshless Methods 10
2.4.1 Smooth particle hydrodynamics 11
2.4.2 Diffuse element method 13
2.4.3 Element-free Galerkin method 16
2.4.4 Natural element method 18
2.4.5 Reprodu ...