Composite grid method for analysis of electromagnetic field

摘要

In this paper, a composite grid method (CGM) for finite element (FE) analysis of an electromagnetic field with strong local interest is proposed. The method is based on the regular finite element method in conjunction with three basic steps, i.e. global analysis, local analysis, and modified global analysis. In the first two steps, a coarse finite element mesh is used to analyze the global model to obtain the nodal potentials which are subsequently used as artificial boundary conditions for local regions of interest. These local regions with the prescribed boundary conditions are then analyzed with refined meshes to obtain more accurate potential and density distribution. In the third step, a modified global analysis is performed to obtain more improved solution for potential and density distribution. And iteratively, successively improved solutions can be obtained until the desired accuracy is achieved. Various numerical experiments show that CGM yields accurate solutions with significant savings in computing time compared with the regular finite element method.