Numerical identification of magnetic permeability. (English) Zbl 1499.35733
Summary: 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.
MSC:
| 35R35 | Free boundary problems for PDEs |
| 49J40 | Variational inequalities |
| 60G40 | Stopping times; optimal stopping problems; gambling theory |
Keywords:
numerical identification; Maxwell system; permeability; edge element method; stability; convergenceReferences:
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| [12] | School of Mathematical Sciences, Wuhan University, Wuhan 430072, China E-mail : hfeng.math@whu.edu.cn and djjiang.math@whu.edu.cn Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong E-mail : zou@math.cuhk.edu.hk |
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