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    Chapter

    Nonsmooth Analysis

    To understand the ideas, problems and applications of Nonsmooth Analysis, we first discuss in detail the simplest — one-dimensional — case. Most of the results are presented here with their proofs. For the res...

    Vladimir F. Dem’yanov… in Quasidifferentiability and Nonsmooth Model… (1996)

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    Chapter

    Nonsmooth Mechanics I

    In this Chapter the basic building elements of Nonsmooth Mechanics are explained. To this end the notions of convex, nonconvex and quasidifferentiable superpotential are introduced. Boundary conditions and mat...

    Vladimir F. Dem’yanov… in Quasidifferentiability and Nonsmooth Model… (1996)

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    Chapter

    Additional Topics

    Some additional problems are treated in this Chapter. They refer to quasidifferential modelling of various problems in engineering and economics and they are presented here as model problems before proceeding ...

    Vladimir F. Dem’yanov… in Quasidifferentiability and Nonsmooth Model… (1996)

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    Chapter

    Nonsmooth Computational Mechanics

    In this Chapter nonsmooth computational mechanics problems are formulated and studied by using the quasidifferentiable modelling techniques. Discrete variational inequality problems, hemivariational inequality...

    Vladimir F. Dem’yanov… in Quasidifferentiability and Nonsmooth Model… (1996)

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    Chapter

    Quasidifferentiable Functions and Sets

    In this Chapter quasidifferentiable and codifferentiable functions and sets are introduced and studied for the general finite dimensional case. The corresponding calculus rules are given and the links to other...

    Vladimir F. Dem’yanov… in Quasidifferentiability and Nonsmooth Model… (1996)

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    Chapter

    Nonsmooth Mechanics II

    In the present Chapter we derive model variational problems in mechanics by using the notion of the quasidifferential. The corresponding problems are systems of variational inequalities. The link with the hemi...

    Vladimir F. Dem’yanov… in Quasidifferentiability and Nonsmooth Model… (1996)

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    Chapter

    Nonsmooth Optimization Algorithms

    Quasidifferentiable and codifferentiable optimization algorithms are based on gradientlike, descent, iterative techniques whereas gradient information is replaced by the setvalued quasidifferential or the codi...

    Vladimir F. Dem’yanov… in Quasidifferentiability and Nonsmooth Model… (1996)

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    Chapter

    Nonsmooth Computational Mechanics

    In this Chapter nonsmooth computational mechanics algorithms are proposed and studied. They are based on the quasidifferentiable and codifferentiable optimization algorithms, discussed thoroughly in Chapter 6,...

    Vladimir F. Dem’yanov… in Quasidifferentiability and Nonsmooth Model… (1996)