scholarly journals Inverse source problems for eddy current equations

2011 ◽  
Vol 28 (1) ◽  
pp. 015006 ◽  
Author(s):  
Ana Alonso Rodríguez ◽  
Jessika Camaño ◽  
Alberto Valli
2015 ◽  
Vol 23 (1) ◽  
Author(s):  
Irwin Yousept

AbstractAn optimal bilinear control problem governed by time-harmonic eddy current equations is considered to estimate the electric conductivity of a 3D bounded isotropic domain. The model problem is mainly complicated by the possible presence of non-conducting materials in the domain. We introduce an optimal control approach based on grad-div regularization and divergence penalization. The estimation for the electric conductivity obtained by solving the optimal control problem is allowed to be discontinuous. Here, no higher regularity property can be derived from the corresponding optimality conditions. We analyze the approach and present various numerical results exhibiting its numerical performance


2017 ◽  
Vol 226 (1) ◽  
pp. 405-440
Author(s):  
Youcef Amirat ◽  
Rachid Touzani

1991 ◽  
Vol 3 (1) ◽  
pp. 235-253 ◽  
Author(s):  
L. D. Philipp ◽  
Q. H. Nguyen ◽  
D. D. Derkacht ◽  
D. J. Lynch ◽  
A. Mahmood

2000 ◽  
Vol 12 (1) ◽  
pp. 65-86 ◽  
Author(s):  
R. La ◽  
B. Benoist ◽  
B. de Barmon ◽  
M. Talvard ◽  
R. Lengelle ◽  
...  

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