Boundary Element Analysis: Mathematical Aspects and Applications

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Martin Schanz, Olaf Steinbach
Springer Science & Business Media, Apr 29, 2007 - Technology & Engineering - 354 pages
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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

Some Historical Remarks on the Positivity of Boundary Integral Operators
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
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