A fast finite element modeling and solving method for 2D defect magnetic leakage field

In this paper a two-dimensional fast finite element model is proposed, which can shorten the calculation time while ensuring the accuracy. Through the theoretical derivation of the finite element numerical calculation, the finite element model of the leakage magnetic field is established. First, the six-node triangular element is used to divide the grid, then the sparse matrix is used to solve the equations, and then the magnetic potential is solved by using the orthogonal basis of the zero space of the boundary condition matrix. The performance of the model is significantly improved.