Boundary Element Analysis

Martin Schanz, Martin Schanz, Olaf Steinbach9783540474654, 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.pdf……Page 1
001 Some Historical Remarks on the Positivity of Boundary Integral Operators.pdf……Page 10
029 Averaging Techniques for a Posteriori Error Control in Finite Element and Boundary Element Analysis.pdf……Page 37
061 Coupled Finite and Boundary Element Domain Decomposition Methods.pdf……Page 68
097 The hp-Version of the Boundary Element Method for the Lamé Equation in 3D.pdf……Page 103
113 Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and Panel-Clustering.pdf……Page 119
135 Fast Multipole Methods and Applications.pdf……Page 141
161 A Fast Boundary Integral Equation Method for Elastodynamics in Time Domain and Its Parallelisation.pdf……Page 167
187 FM-BEM and Topological Derivative Applied to Acoustic Inverse Scattering.pdf……Page 192
213 Boundary Element Methods for Eddy Current Computation.pdf……Page 218
249 Fast Boundary Element Methods in Computational Electromagnetism.pdf……Page 254
281 BEM-Based Simulations in Engineering Design.pdf……Page 285
back-matter.pdf……Page 357