A Novel Method for the Numerical Solution of a Hybrid Inverse Problem of Electrical Conductivity Imaging

A novel method for the numerical solution of a hybrid (coupled physics) inverse problem is proposed. Based on regularized weighted mean curvature flow equation, this can be considered as an alternative to variational approach solving least gradient Dirichlet problems arising in electrical conductivity imaging, particular, Current Density Impedance Imaging (CDII). Utilizing Sternberg–Ziemer theory, convergence solutions unique function established. The study conducted demonstrate practicability and computational effectiveness proposed method.