This article deals with the use of the Volume Integral Method (VIM) to compute the magnetic anomaly created by a non-conductive ferromagnetic thin shell placed in a static inductor field. An original facet integral formulation considering the magnetic induction as unknowns is presented. The use of thin shell element assumption leads to a surface mesh decreasing highly the number of elements so the computation cost. The method is very performant in terms of speed and accuracy. Index Terms-Magnetostatic, volume integral method, thin shell element, shielding modeling.
A new algorithm for the identification of the permanent magnetization of ferromagnetic sheets is proposed. From magnetic measurements close to the ferromagnetic material, the magnetization distribution is reconstructed. The forward problem involves an integral formulation based on the interpolation of the flux density in the sheet, leading to a linear matrix system linking the magnetization to the measurements. The inverse problem is solved with a balanced singular values decomposition in order to stabilize the solution. The effectiveness of the method is demonstrated using both a numerical test case and an experimental validation.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.