Hybrid boundary-volume Galerkin’s method for nonlinear magnetostatic problems

The paper describes a new technique for the solution of nonlinear magnetostatic problems. It is based on the reduction of field equations to two coupled boundary and volume Galerkin’s forms. A hybrid finite-quasifinite element discretization of these Galerkin’s forms is proposed. It leads to sets of simultaneous equations with symmetric matrices. This technique is also free from the other difficulties encountered in the mutually constrained differential-integral equation approach. Some numerical results obtained by this technique are reported.