scholarly journals Shape optimization approach for solving the Bernoulli problem by tracking the Neumann data: A Lagrangian formulation

2018 ◽  
Vol 17 (6) ◽  
pp. 2683-2702 ◽  
Author(s):  
Julius Fergy T. Rabago ◽  
◽  
Jerico B. Bacani
Keyword(s):  
Shape Optimization ◽  
Lagrangian Formulation ◽  
Optimization Approach ◽  
Bernoulli Problem

Shape and parameter reconstruction for the Robin transmission inverse problem

2016 ◽  
Vol 24 (6) ◽  
Author(s):  
Antoine Laurain ◽  
Houcine Meftahi
Keyword(s):  
Inverse Problem ◽  
Shape Optimization ◽  
Saddle Point Problem ◽  
Point Problem ◽  
Optimization Approach ◽  
Reconstruction Method ◽  
Piecewise Constant ◽  
Piecewise Constant Conductivity ◽  
Level Set Approach ◽  
Parameter Reconstruction

AbstractIn this paper we consider the inverse problem of simultaneously reconstructing the interface where the jump of the conductivity occurs and the Robin parameter for a transmission problem with piecewise constant conductivity and Robin-type transmission conditions on the interface. We propose a reconstruction method based on a shape optimization approach and compare the results obtained using two different types of shape functionals. The reformulation of the shape optimization problem as a suitable saddle point problem allows us to obtain the optimality conditions by using differentiability properties of the min-sup combined with a function space parameterization technique. The reconstruction is then performed by means of an iterative algorithm based on a conjugate shape gradient method combined with a level set approach. To conclude we give and discuss several numerical examples.

scholarly journals MINIMIZING FLOORING STRIP WEIGHT: A SHAPE OPTIMIZATION APPROACH

BioResources ◽  
2012 ◽  
Vol 7 (2) ◽  
Author(s):  
Jean Deteix ◽  
George Djoumna ◽  
Pierre Blanchet ◽  
André Fortin ◽  
Alain Cloutier
Keyword(s):  
Shape Optimization ◽  
Optimization Approach

scholarly journals On a numerical shape optimization approach for a class of free boundary problems

2020 ◽  
Vol 77 (2) ◽  
pp. 509-537
Author(s):  
A. Boulkhemair ◽  
A. Chakib ◽  
A. Nachaoui ◽  
A. A. Niftiyev ◽  
A. Sadik
Keyword(s):  
Free Boundary ◽  
Shape Optimization ◽  
Free Boundary Problems ◽  
Optimization Approach ◽  
Boundary Problems

Increasing Radiation Efficiency Using Antenna Shape Optimization Approach

2018 ◽  
Vol 17 (3) ◽  
pp. 393-396 ◽  
Author(s):  
Ruiyang Li ◽  
Derek McNamara ◽  
Gao Wei ◽  
Jianzhou Li
Keyword(s):  
Shape Optimization ◽  
Radiation Efficiency ◽  
Optimization Approach
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