|   | Sergej Rjasanow, Olaf Steinbach The Fast Solution of Boundary Integral Equations. Mathematical and Analytical Techniques with Applications to Engineering, Springer, 2007. Springer's Book Homepage 
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| Table of Contents | |
| 1 | Boundary Integral Equations | 
| 1.1 | Laplace Equation | 
| 1.2 | Lame Equation | 
| 1.3 | Stokes System | 
| 1.4 | Helmholtz Equation | 
| 2 | Boundary Element Methods | 
| 2.1 | Boundary Elements | 
| 2.2 | Basis Functions | 
| 2.3 | Laplace Equation | 
| 2.4 | Lame Equations | 
| 2.5 | Helmholtz Equation | 
| 3 | Approximation of Boundary Element Matrices | 
| 3.1 | Hierarchical Matrices | 
| 3.2 | Block Approximation Methods | 
| 4 | Implementation and Numerical Examples | 
| 4.1 | Geometry Description | 
| 4.2 | Laplace Equation | 
| 4.3 | Linear Elastostatics | 
| 4.4 | Helmholtz Equation | 
| A | Mathematical Foundations | 
| A.1 | Function Spaces | 
| A.2 | Fundamental Solutions | 
| A.3 | Mapping Properties | 
| B | Numerical Analysis | 
| B.1 | Variational Methods | 
| B.2 | Approximation Properties | 
| C | Numerical Algorithms | 
| C.1 | Numerical Integration | 
| C.2 | Analytic Integration | 
| C.3 | Iterative Solution Methods | 
| References |