A Unified Variational Formulation for the Parabolic-Elliptic Eddy Current Equations

2012 ◽  
Vol 72 (2) ◽  
pp. 558-576 ◽  
Author(s):  
Lilian Arnold ◽  
Bastian Harrach
Keyword(s):  
Eddy Current ◽  
Variational Formulation ◽  
Eddy Current Equations

scholarly journals Optimal bilinear control of eddy current equations with grad–div regularization

2015 ◽  
Vol 23 (1) ◽  
Author(s):  
Irwin Yousept
Keyword(s):  
Optimal Control ◽  
Control Problem ◽  
Electric Conductivity ◽  
Eddy Current ◽  
Regularity Property ◽  
Control Approach ◽  
Bilinear Control ◽  
Time Harmonic ◽  
Eddy Current Equations ◽  
Higher Regularity

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

scholarly journals Inverse source problems for eddy current equations

2011 ◽  
Vol 28 (1) ◽  
pp. 015006 ◽  
Author(s):  
Ana Alonso Rodríguez ◽  
Jessika Camaño ◽  
Alberto Valli
Keyword(s):  
Eddy Current ◽  
Eddy Current Equations ◽  
Inverse Source Problems

A Circuit Equation as a Limit of Eddy Current Equations

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