Numerical identification of magnetic permeability
Hui Feng 1, Daijun Jiang 1, Jun Zou 21 School of Mathematical Sciences, Wuhan University, Wuhan 430072, China.
2 Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong.
Received by the editors May 2, 2009 and, in revised form, August 26, 2009.
This work is concerned with the analysis on a numerical reconstruction of the magnetic permeability. The ill-posed problem is solved through a stabilized nonlinear minimization system by an appropriately selected Tikhonov regularization. The existence and stability of the optimization system are demonstrated. The nonlinear optimization problem is approximated by an edge element method, whose convergence is established.
AMS subject classifications: 35R35, 49J40, 60G40
Key words: Numerical identification, Maxwell system, permeability, edge element method, stability, convergence.
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