Solving inverse problems by connection of level set method, gradient technique and finite or boundary elements

摘要

The task of the image reconstruction in Electrical Impedance Tomography (EIT) is highly ill-posed inverse problem. The level set method with the gradient technique is established model for our numerical problem. Interfaces between subdomains with constant conductivities are represented by the level set function. Moreover, only one function is needed to represent any numbers of phases. The iterative algorithms base on combination of the finite element method, the boundary element method and the level set method with velocity determined by the gradient technique.