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Differentiability of strongly singular BIE formulations with respect to boundary perturbations

  • Marc Bonnet
Conference paper

Abstract

In e.g. shape design analysis, inverse problems or fracture mechanics, one is often faced with the need of computing sensitivities of functional or physical variables with respect to perturbations of the shape of the geometrical domain Ω, under study. This goal is often achieved using analytical material differentiation followed by discretization, in the form of either the adjoint variable approach or the direct differentiation. In a BEM context, the latter is based on material differentiation of the relevant governing BIE formulation, so that a governing BIE for the field sensitivities is available.

Keywords

Boundary Element Method Material Differentiation Geometrical Transformation Material Derivative Boundary Perturbation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Marc Bonnet
    • 1
  1. 1.Laboratoire de Mécanique des Solides (URA CNRS 317)Ecole PolytechniquePalaiseauFrance

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