Two-dimensional Electromagnetic Field Finite Element Method

Finite element method (FEM) is one of the most important numerical methods used in the area of electrical engineering. It has been used for quantitative analysis and design optimization of differnet types of electromagnetic fields and electromagnetic wave problems. This method provides the foundation of sorts of the advanced and effective computer software packages.Finite element method of 2-D electromagnetic field problems has been studied in this paper. Plane quadrilateral isoparametric elements are adopted in the process of the FEM discretization to form coefficient matrix and excitation matrix. The programming for the solution of the electric potential and magnetic potential of the 2-D static electromagnetic fields problems has been realized. After the solution of the electric potential and magnetic potential, intensity of the electromagnetic field is studied and solved by the programming.The energy of field, which can be used to get some other useful parameters, is a very important parameter in the electromagnetic problems. These parameters include capacitance, inductance, force and moment of the electromagnetic fields. So the solution of the energy is also carried out in this paper. The solution mentioned above are all realized based on the FEM structural analysis and design optimization system-JIFEX.The eigenvalue problems are also very important in electromagneticfields, in which the waveguide problems and the syntonic problems of cavity are the typical ones being discussed. The solution has been proposed and the primary work has been studied. Especially, the stiff matrix and the mass matrix for shifted sub-space iteration method have been formed in this paper.The numerical examples given in the sixth chapter show the application and the effectiveness of the methods proposed in this paper.