Interior Penalty Discontinuous Galerkin Method for Magnetostatic Field Problems in Two Dimensions

摘要

An interior penalty discontinuous Galerkin method for solving two-dimensional magnetostatic field problems using the magnetic vector potential A is presented. The use of the A-formulation in two dimensions results in a second-order elliptic boundary value problem. Due to the method, the scheme is symmetric and the resulting mass-matrix is block-diagonal, whereas each block belongs to one element of the triangulation. The applicability of the proposed method is demonstrated by solving a typical magnetostatic field problem and the numerical results are compared with the solution obtained from the standard finite element analysis.