## Boundary Element Analysis: Mathematical Aspects and ApplicationsMartin Schanz, Olaf Steinbach This volume contains eleven contributions on boundary integral equation and boundary element methods. Beside some historical and more analytical aspects in the formulation and analysis of boundary integral equations, modern fast boundary element methods are also described and analyzed from a mathematical point of view. In addition, the book presents engineering and industrial applications that show the ability of boundary element methods to solve challenging problems from different fields. |

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### Contents

1 | |

Averaging Techniques for a Posteriori Error Control in Finite Element and Boundary Element Analysis | 28 |

Coupled Finite and Boundary Element Domain Decomposition Methods | 61 |

The hpVersion of the Boundary Element Method for the Lame Equation in 3D | 96 |

Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and PanelClustering | 113 |

Fast Multipole Methods and Applications | 135 |

A Fast Boundary Integral Equation Method for Elastodynamics in Time Domain and Its Parallelisation | 161 |

FMBEM and Topological Derivative Applied to Acoustic Inverse Scattering | 187 |

Boundary Element Methods for Eddy Current Computation | 213 |

Fast Boundary Element Methods in Computational Electromagnetism | 249 |

BEMBased Simulations in Engineering Design | 280 |

### Other editions - View all

Boundary Element Analysis: Mathematical Aspects and Applications Martin Schanz,Olaf Steinbach No preview available - 2010 |

Boundary Element Analysis: Mathematical Aspects and Applications Martin Schanz,Olaf Steinbach No preview available - 2009 |

Boundary Element Analysis: Mathematical Aspects and Applications Martin Schanz,Olaf Steinbach No preview available - 2007 |

### Common terms and phrases

algorithm analysis applied approximation basis functions bilinear form blocks boundary conditions boundary element method boundary integral equations boundary integral operators boundary value problem calculated cells coefficients collocation complex computed conductor constant convergence corresponding coupling defined denote density Dirichlet Dirichlet problem discrete discretisation distribution domain decomposition Domain Decomposition Methods double layer potential eddy current eddy-current efficient electromagnetic elliptic error estimators evaluation example expansion exterior fast multipole method finite element method fundamental solution Galerkin Gauss given Hilbert Hilbert space hypersingular incoming rays inverse iterative kernel Lemma linear elastostatics Lipschitz domains magnetic field Math mathematical matrix mesh mesh-refinement Neumann nodes numerical obtain OpenMP parallelisation piecewise preconditioner representation formula satisfied scalar Section simulation single layer potential singular Sobolev spaces solve space spherical Steinbach Steklov-Poincare operator surface symmetric techniques Theorem tion trace variational formulation variational problem vector W. L. Wendland Wendland