Shape optimization for a seepage problem with low contrast core
نویسندگان
چکیده
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Numerical Solution of a Shape Optimization Problem
This paper is concerned with the identification of the geometric structure of the boundary for a two-dimensional (stationary) elliptic equation. The domain identification problem is considered as a variational problem to minimize a defect functional, which utilizes some additional data on certain (known) parts of the boundary. The Gradient Projection Method is introduced for this problem and nu...
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{ erw = Ae(uw), e(uw) = 21-(VUw + V u T ) , div ~rw = 0 in co, erw.n = f on 0f2, O'w.n = 0 on Ow\OQ, (1) where uw is the displacement vector, e(uw) is the strain tensor, and o-w is the stress tensor. The compliance of the structure is defined by 1 I n t r o d u c t i o n Solving structural optimization problems by the homogenization method, amounts to find extremal microstructures which maximiz...
متن کاملOn optimal microstructures for a plane shape optimization problem
{ erw = Ae(uw), e(uw) = 21-(VUw + V u T ) , div ~rw = 0 in co, erw.n = f on 0f2, O'w.n = 0 on Ow\OQ, (1) where uw is the displacement vector, e(uw) is the strain tensor, and o-w is the stress tensor. The compliance of the structure is defined by 1 I n t r o d u c t i o n Solving structural optimization problems by the homogenization method, amounts to find extremal microstructures which maximiz...
متن کاملOn optimal microstructures for a plane shape optimization problem
{ erw = Ae(uw), e(uw) = 21-(VUw + V u T ) , div ~rw = 0 in co, erw.n = f on 0f2, O'w.n = 0 on Ow\OQ, (1) where uw is the displacement vector, e(uw) is the strain tensor, and o-w is the stress tensor. The compliance of the structure is defined by 1 I n t r o d u c t i o n Solving structural optimization problems by the homogenization method, amounts to find extremal microstructures which maximiz...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2016
ISSN: 0307-904X
DOI: 10.1016/j.apm.2015.09.023