An Enhanced Multigrid Method for Fast Numerical Computation of the Magnetic Vector Potential

Abstract

An enhanced multi-grid method eliminating the error correction process of the conventional multi-grid method is presented for solving Poissonian problems and tested on two simple two-dimensional magnetostatic field problems. The finite element method (FEM) was used to solve for the vector potential in a sequence of grids. The gains in computation time are shown to be immense compared to the standard multi-grid methods, especially as the matrix system grows in size. These gains are very useful in solving electromagnetic problems using the finite element method.