## Theoretical Aspects of Industrial DesignA companion to Geometric aspects . . . (see preceding entry). The 10 papers consider traditional applied mathematics emphasizing problems such as control and optimization in industrial design. No index. Acidic paper. Annotation copyright Book News, Inc. Portland, Or. |

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### Contents

Direct Solution of an Optimal Layout Problem for Isotropic Heat | 1 |

A Unified Model for Elastoplastic Structural Analysis Via Dual | 12 |

Sensitivity Analysis in Nonsmooth Optimization | 32 |

Comments on Sensitivity Conservation Laws | 47 |

Numerical Methods for SecondOrder Shape Sensitivity Analysis | 58 |

On Design of Contact Patterns in OneDimensional | 76 |

Contact Problems with Friction and Applications to Shape | 83 |

Stable Numerical Inversion of Abels Integral Equation by Discrete | 92 |

Computations for Variational Free Boundary Problem Modeling | 105 |

On the Adaptation Algorithms for Feedforward Neural Networks | 116 |

### Common terms and phrases

Abel transform adaptation algorithm adjoint equations adjoint variable algorithm applications approximations boundary condition classical computational concave function conservation law consider constraint contact pattern contact problem convex convex analysis data function defined denote derivatives design variable difference equation dimensional discrete Domain Decomposition Methods dual problem elastic elastoplastic ERROR NORMS example finite element first-order shape sensitivity formula free boundary friction given hidden layer Industrial Design integral equation inverse Abel transform k(VT k(VV Klarbring Lagrange multiplier Lemma linear locally Lipschitz Math Mathematical matrix minimization MORDUKHOVICH neural networks nondifferentiable nonlinear nonsmooth analysis numerical solution obtained optimization problems output paper Partial Differential Equations properties pseudo-Lipschitz respect second-order shape sensitivity Section sensitivity function shape optimization shape sensitivity analysis shape sensitivity equation Shillor Sobolev space solving structural subdifferential sup inf Theorem thermal fin thermal insulation thermoelastic training algorithms variational vector Widrow