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Multilevel Optimization Methods in Mechanics

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Multilevel Optimization: Algorithms and Applications

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 20))

Abstract

In the present paper, various algorithms are proposed for the solution of problems arising in Mechanics. The algorithms are based on multilevel optimization techniques and cover mainly the cases of structures with inequality constraints as for example large cable or elastoplastic structures and structures involving nonconvex energy potentials. Also, the case of structures with fractal geometries is examined. Finally the application of the multilevel optimization techniques for the validation of the simplifying assumptions used for the calculation of complex structures is demonstrated.

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Author information

Authors and Affiliations

  1. RWTH, 52062, Aachen, Germany

    P. D. Panagiotopoulos (Faculty of Mathematics and Physics)

  2. Institute of Steel Structures, Aristotle University, 54006, Thessaloniki, Greece

    E. S. Mistakidis & O. K. Panagouli

  3. Institute of Applied Mechanics, Department of Civil Engineering, Carolo Wilhelmina Technical University, Braunschweig, Germany

    G. E. Stavroulakis

Authors
  1. P. D. Panagiotopoulos
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  2. E. S. Mistakidis
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  3. G. E. Stavroulakis
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  4. O. K. Panagouli
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Editor information

Editors and Affiliations

  1. Division of Optimization, Department of Mathematics, Linköping Institute of Technology, Linköping, Sweden

    Athanasios Migdalas  & Peter Värbrand  & 

  2. Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, USA

    Panos M. Pardalos

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© 1998 Kluwer Academic Publishers

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Panagiotopoulos, P.D., Mistakidis, E.S., Stavroulakis, G.E., Panagouli, O.K. (1998). Multilevel Optimization Methods in Mechanics. In: Migdalas, A., Pardalos, P.M., Värbrand, P. (eds) Multilevel Optimization: Algorithms and Applications. Nonconvex Optimization and Its Applications, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0307-7_3

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  • DOI: https://doi.org/10.1007/978-1-4613-0307-7_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7989-8

  • Online ISBN: 978-1-4613-0307-7

  • eBook Packages: Springer Book Archive

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