An Enhanced Multigrid Method for Fast Numerical Computation of the Magnetic Vector Potential
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.
A.G. Mamalis, M. Enokizono and A. Kladas
T. Arudchelvam et al., "An Enhanced Multigrid Method for Fast Numerical Computation of the Magnetic Vector Potential", Materials Science Forum, Vol. 670, pp. 311-317, 2011