A multigrid method for solution of the diffusion equation in VLSI process modeling

If an implicit time discretization method is used for the diffusion equation, a large equation system has to be solved. In this work, a ν-cycle multigrid method was employed for this purpose. It can be easily applied to any 9-point approximation for nonlinear second-order differential operators, requires no iteration parameters, and can compete with other fast solvers [7]. The storage needed is 6 times the number of grid points.