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by S. Walker, C. A. Brebbia
Boundary Element Techniques in Engineering
Front Cover
Boundary Element Techniques in Engineering
Copyright Page
Preface
Table of Contents
Chapter 1. Approximate Methods
1.1 Introduction
1.2 Weighted Residual Techniques (2/2)
1.3 Weak Formulations
1.4 The Inverse Problem
1.5 Boundary Methods (2/2)
REFERENCES
BIBLIOGRAPHY
Chapter 2. Potential Problems
2.1 INTRODUCTION
2.2 THE FUNDAMENTAL SOLUTION AND DIRECT FORMULATION
2.3 THE INDIRECT FORMULATION
2.4 MATRIX FORMULATION (1/2)
2.4 MATRIX FORMULATION (2/2)
2.5 POISSON'S EQUATION
2.6 THE ORTHOTROPIC CASE
2.7 THE HELMHOLTZ EQUATION
REFERENCES
Chapter 3. Higher-Order Elements
3.1 INTRODUCTION
3.2 LINEAR ELEMENTS FOR TWO-DIMENSIONAL PROBLEMS (1/2)
3.2 LINEAR ELEMENTS FOR TWO-DIMENSIONAL PROBLEMS (2/2)
3.3 QUADRATIC AND HIGHER-ORDER ELEMENTS
3.4 ELEMENTS FOR THREE-DIMENSIONAL PROBLEMS (1/3)
3.4 ELEMENTS FOR THREE-DIMENSIONAL PROBLEMS (2/3)
3.4 ELEMENTS FOR THREE-DIMENSIONAL PROBLEMS (3/3)
3.5 THREE-DIMENSIONAL ELEMENTS
3.6 ORDER OF INTERPOLATION FUNCTIONS
REFERENCES
BIBLIOGRAPHY
Chapter 4. Fundamental Solutions
4.1 INTRODUCTION
4.2 EIGENFUNCTIONS AND THE DIRAC DELTA FUNCTION
4.3 FUNDAMENTAL SOLUTIONS ON A FINITE REGION
4.4 INFINITE DOMAINS
4.5 THE FUNDAMENTAL SOLUTION IN INFINITE SPACE
4.6 NUMERICAL SOLUTIONS (ANISOTROPIC BODIES)
4.7 THE METHOD OF IMAGES (1/2)
4.7 THE METHOD OF IMAGES (2/2)
4.8 THE FUNDAMENTAL SOLUTION AND BOUNDARY ELEMENTS
4.9 EXPLICIT FORMS FOR THE FUNDAMENTAL SOLUTION
REFERENCES
Chapter 5. Elastostatics
5.1 INTRODUCTION
5.2 WEIGHTED RESIDUAL STATEMENTS
5.3 FUNDAMENTAL SOLUTION
5.4 SOURCE APPROACH
5.5 MATRIX FORMULATION (1/3)
5.5 MATRIX FORMULATION (2/3)
5.5 MATRIX FORMULATION (3/3)
5.6 TWO-DIMENSIONAL ELASTICITY (1/2)
5.6 TWO-DIMENSIONAL ELASTICITY (2/2)
REFERENCES
BIBLIOGRAPHY
Chapter 6. Time-Dependent and Non-Linear Problems
6.1 INTRODUCTION
6.2 TRANSFORM METHODS
6.3 FOURIER TRANSFORMS
6.4 LAPLACE TRANSFORMS10
6.5 TRANSIENT ELASTODYNAMICS
6.6 STEADY STATE ELASTODYNAMICS
6.7 VISCOELASTIC PROBLEMS
6.8 TIME INTEGRATION USING TIME STEPPING
6.9 TIME-DEPENDENT FUNDAMENTAL SOLUTION
6.10 NON-LINEAR PROBLEMS
6.11 PLASTICITY AND SOIL MECHANICS PROBLEMS
REFERENCES
Chapter 7. Combination of Regions
7.1 INTRODUCTION
7.2 DIVISION INTO REGIONS (1/2)
7.2 DIVISION INTO REGIONS (2/2)
7.3 APPROXIMATE BOUNDARY SOLUTIONS (1/3)
7.3 APPROXIMATE BOUNDARY SOLUTIONS (2/3)
7.3 APPROXIMATE BOUNDARY SOLUTIONS (3/3)
7.4 INFINITE ELEMENTS
7.5 COMBINATION OF FINITE AND BOUNDARY ELEMENTS (1/2)
7.5 COMBINATION OF FINITE AND BOUNDARY ELEMENTS (2/2)
REFERENCES
Index
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Boundary Element Techniques in Engineering
Boundar
y
Elemen
t
Technique
s
i
n
Engineerin
g
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