Numerical calculation method of magnetization and eddy current by applying the subdomain method to integral equations

The magnetic targeting method is expected for the regeneration of cartilage of knee. Magnetically labeled mesenchymal stem cells (m-MSCs) and an external magnetic field are used in the magnetic targeting method. A numerical calculation method for simulating the behavior of the m-MSC is needed. In this paper a numerical calculation method of magnetization and eddy current by applying the subdomain method to integral equations is presented. The proposed method has been used to solve two problems for which the exact solutions are known, namely the magnetization of a sphere placed in a uniform magnetic field and the eddy current induced in a flat plate, to verify its validity. Through the two problems, the validity of the proposed method has been confirmed.