Martin Costabel (auth.), Prof. Dr.-Ing. Martin Schanz, Prof. Dr. Olaf Steinbach (eds.)9783540474654, 3-540-47465-X
This volume contains eleven state of the art 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 also modern fast boundary element methods are described and analyzed from a mathematical point of view. In addition, engineering and industrial applications of those methods are presented showing the ability of state of the art boundary element methods to solve challenging problems from different fields of applications.
This book is addressed to researchers, graduate students and practitioners working on and using boundary element methods. All contributions also show the great achievements of interdisciplinary research between mathematicians and engineers, with direct applications in industry.
Table of contents :
Front Matter….Pages I-X
Some Historical Remarks on the Positivity of Boundary Integral Operators….Pages 1-27
Averaging Techniques for a Posteriori Error Control in Finite Element and Boundary Element Analysis….Pages 29-59
Coupled Finite and Boundary Element Domain Decomposition Methods….Pages 61-95
The hp-Version of the Boundary Element Method for the Lamé Equation in 3D….Pages 97-112
Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and Panel-Clustering….Pages 113-134
Fast Multipole Methods and Applications….Pages 135-160
A Fast Boundary Integral Equation Method for Elastodynamics in Time Domain and Its Parallelisation….Pages 161-185
FM-BEM and Topological Derivative Applied to Acoustic Inverse Scattering….Pages 187-212
Boundary Element Methods for Eddy Current Computation….Pages 213-248
Fast Boundary Element Methods in Computational Electromagnetism….Pages 249-279
BEM-Based Simulations in Engineering Design….Pages 281-352
Back Matter….Pages 353-354
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