An optimal shape design formulation for inhomogeneous dam problems | Zendy

Chakib Abdelkrim | Zendy; Ghemires Touria | Zendy; Nachaoui Abdeljalil | Zendy

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An optimal shape design formulation for inhomogeneous dam problems

Author(s) -

Chakib Abdelkrim,

Ghemires Touria,

Nachaoui Abdeljalil

Publication year - 2002

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.295

Subject(s) - mathematics , optimal design , finite element method , parametrization (atmospheric modeling) , shape optimization , mathematical optimization , compressibility , porous medium , boundary value problem , graph , mathematical analysis , porosity , combinatorics , mechanics , structural engineering , statistics , physics , geotechnical engineering , quantum mechanics , engineering , radiative transfer

In this paper, the flow problem of incompressible liquid through an inhomogeneous porous medium (say dam), with permeability allowing parametrization of the free boundary by a graph of continuous unidimensional function, is considered. We propose a new formulation on an optimal shape design problem. We show the existence of a solution of the optimal shape design problem. The finite element method is used to obtain numerical results which show the efficiency of the proposed approach. Copyright © 2002 John Wiley & Sons, Ltd.

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