Optimal shape design for systems governed by variational inequalities, part 3: Necessary conditions in the elliptic case

1992 ◽  
Vol 74 (2) ◽  
pp. 273-304 ◽  
Author(s):  
W. B. Liu ◽  
J. E. Rubio
Keyword(s):  
Variational Inequalities ◽  
Necessary Conditions ◽  
Optimal Shape ◽  
Shape Design ◽  
Optimal Shape Design ◽  
Elliptic Case

scholarly journals Optimal shape design for a nozzle problem

1993 ◽  
Vol 35 (1) ◽  
pp. 71-86 ◽  
Author(s):  
R. Butt
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Variational Inequalities ◽  
Gradient Method ◽  
Performance Criterion ◽  
Optimal Shape ◽  
Shape Design ◽  
Differential Inequalities ◽  
Optimal Shape Design ◽  
The Finite Element Method

AbstractIn this paper, a gradient method is developed for the optimal shape design in a nozzle problem described by variational inequalities. It is known that this method can be used for the optimal shape design for systems described by partial differential equations (Pironneau [6]); it is used here for differential inequalities by taking limits of the expression resulting from an approximations scheme. The computations are done by the finite element method; the gradient of the criteria as a function of the coordinates nodes is computed, and the performance criterion is then minimised by the gradient method.

Optimal shape design in biomimetics based on homogenization and adaptivity

2004 ◽  
Vol 65 (3) ◽  
pp. 257-272 ◽  
Author(s):  
Ronald H.W. Hoppe ◽  
Svetozara I. Petrova
Keyword(s):  
Optimal Shape ◽  
Shape Design ◽  
Optimal Shape Design

3-D optimal shape design of ferromagnetic pole in MRI magnet of open permanent-magnet type

2002 ◽  
Vol 12 (1) ◽  
pp. 1467-1470 ◽  
Author(s):  
Dong-Hun Kim ◽  
Byung-Sung Kim ◽  
Joon-Ho Lee ◽  
Wan-Soo Nah ◽  
Il-Han Park
Keyword(s):  
Permanent Magnet ◽  
Optimal Shape ◽  
Shape Design ◽  
Optimal Shape Design
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