However, the present grid generators are not fully automatic, the user has still to supply some parameters that effect the grid generation. Often it is very difficult to find correct values for those parameters, in any case it is always very time consuming. For a good accuracy present grid generators often produce very fine grids. Sometimes coarser grids produce unacceptable large errors. Especially for deep submicron devices the simulation grid is of growing importance.
Multigrid methods are suitable for a fully automatic adaptive grid generation.
This means that the grids are automatically refined and coarsened, the latter preventing that too fine grids are used. So, multigrid will eliminate the disadvantages of the present grid generators. The fact that these methods are suitable for parallelisation will increase the execution speed considerably. Of course, this only applies if the user has a parallel computer as well as a suitable parallel programme. Generally speaking it is very likely that in the near future parallel computation will be used more and more.