SIAM Journal on Mathematical Analysis, Volume 52, Issue 5, Page 4506-4523, January 2020.
We study stability of reconstruction in current density impedance imaging (CDII), that is, the inverse problem of recovering the conductivity of a body from the measurement of the magnitude of the current density vector field in the interior of the object. Our results show that CDII is stable with respect to errors in interior measurements of the current density vector field and confirm the stability of reconstruction which was previously observed in numerical simulations and was long believed to be the case.

中文翻译：

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电流密度阻抗成像的稳定性

SIAM数学分析杂志，第52卷，第5期，第4506-4523页，2020年1月。
我们研究了电流密度阻抗成像（CDII）中重建的稳定性，即从测量中恢复物体电导率的反问题。物体内部电流密度矢量场的大小 我们的结果表明，对于电流密度矢量场的内部测量误差，CDII是稳定的，并证实了重建的稳定性，这种重建先前在数值模拟中已经观察到，并且长期以来一直是事实。