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Tuesday, April 14, 2020 | History

7 edition of Variational methods for discontinuous structures found in the catalog.

Variational methods for discontinuous structures

applications to image segmentation, continuum mechanics, homogenization : Villa Olmo, Como, 8-10 September 1994

by

  • 82 Want to read
  • 21 Currently reading

Published by Birkhäuser in Basel, Boston .
Written in English

    Subjects:
  • Calculus of variations -- Congresses.,
  • Differential equations, Partial -- Congresses.

  • Edition Notes

    StatementRaul Serapioni, Franco Tomarelli, editors.
    SeriesProgress in nonlinear differential equations and their applications ;, v. 25
    ContributionsSerapioni, Raul, 1951-, Tomarelli, Franco, 1955-
    Classifications
    LC ClassificationsQA315 .V365 1996
    The Physical Object
    Paginationviii, 192 p. :
    Number of Pages192
    ID Numbers
    Open LibraryOL997257M
    ISBN 100817652736, 3764352736
    LC Control Number96035953

    ment of such methods. The so-called \structure-preserving methods" are one strong branch of them (see, for example, Hairer{Lubich{Wanner [9]). In thispaper, along the lineof these studies, weareparticularly interested in certain variational structures of PDEs and their associated conservation and dissipation properties. The basic problem of the calculus of variations is to determine the function u(x) that extremizes a functional F==\[Integral]_SubscriptBox[x^StyleBox[min, FontSlant -> Italic], SubscriptBox[x, StyleBox[max, FontSlant -> Italic]]]f[u(x),u^\[Prime](x),x]\[DifferentialD]x. In general, there can be more than one independent variable and the integrand f can depend on several functions and . In the above, u(x, t) with is the structural displacement vector, σ is the symmetric Cauchy stress tensor, and (x,t) with is the scalar acoustic velocity potential. The phase velocity of acoustic wave propagation is denoted by c; ρ s > 0 and ρ f > 0 are the reference densities of the structure and fluid, respectively. A superposed dot indicates partial differentiation with respect to time t. familiar with variational methods (at the level of Bolza's problem) can obtain a knowledge of the discontinuous problem with a minimum time expendi- ture. All of the above papers are rather formidable and leave much of the developmental work to the reader. The notation used in Hunt's work will be retained, with the exception.


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Buy Variational Methods for Discontinuous Structures: Applications to image segmentation, continuum mechanics, homogenization Villa Olmo, Como, Equations and Their Applications) on FREE SHIPPING on qualified ordersReviews: 1. This volume contains the Proceedings of the International Workshop Variational Methods For Discontinuous Structures, which was jointly organized by the Dipar­ timento di Matematica Francesco Brioschi of Milano Politecnico and the Interna­ tional School for Advanced Studies (SISSA) of Trieste.

This volume contains the Proceedings of the International Workshop Variational Methods For Discontinuous Structures, which was jointly organized by the Dipar­ timento di Matematica Francesco Brioschi of Milano Politecnico and the Interna­ tional School for Advanced Studies (SISSA) of Trieste.

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Variational methods for discontinuous structures book Variational Methods for Discontinuous Structures Applications to image segmentation, continuum mechanics, homogenization Villa Olmo, Como, 8–10 September A local discontinuous Galerkin method based on variational structure Article in Discrete and Continuous Dynamical Systems - Series S October.

ABSTRACT. Eigenvalue problems with discontinuous coefficients occur naturally in many areas of composite material mechanics. In previous work, based on mixed variational schemes, an approximation technique of Rayleigh-Ritz type applied to a modified “new quotient” has been developed by Nemat-Nasser and coworkers and applied in estimating eigenvalues and.

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ABSTRACT Eigenvalue problems with discontinuous coefficients occur naturally in many areas of composite material by: 3. Fostering an increased appreciation of the fundamental theorem of calculus, this highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations.

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The method provides a way to construct fully-discrete LDG schemes that retain discrete counterparts of the conservation or dissipation by: 3. The calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.

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