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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 |