Finite Element Simulation Of The Magnetic Field And The Continuation Study

The magnetic field upward continuation and modeling were represented from the potential theory and the finite element algorithm, based on the former implication in areas, such as electromagnetic domain and so on, and the former achievement on the area. The magnetic anomaly distribution was studied through finite element analysis. The corresponding program code was gave to model the magnetic distribution, synthesized the finite element analysis of magnetic field, which provides foundation for further system studies on the magnetic distribution property.The boundary variational problems was deduced to what satisfied the magnetic equation and boundary condition, through deploying the finite element thought. The near-surface boundary was approximated by the bedding magnetizing theory and the far-area boundary by zero approximation. Then the element integral approximate representation, under different boundaries, was deduced, depended on the division form. Based on different models and magnetic potential field distribution property, different division forms were deployed to satisfy the calculation precision, as well as the saving of the EMS memory and calculation time. The 1-D array storage form was used to store the stiffness matrix, synthesized the stiffness matrix property. The algorithm process was implemented by the C++ language on the visual C++ platform. From comparison of modeling result with theoretical value, it is apparent that the modeling curl is corresponding to the theoretical curl, besides some area with large error, where the field value changes sharply.