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 |