Multigrid smoother for PDEs with first derivatives


semen
07-16-2008, 11:41 AM
Dear All,
We are trying to adapt the multigrid method to the equation

Uxx+Uyy+Ax*Ux+Ay*Uy = 0

where A is known function. We immediately found out that standard Gauss-Seidel or Jacoby smoothers do not work - they simply do not converge because of the terms like h*(U(i+1)-U(i)) where h becomes too large.
Is there any smoother, which is suitable for this type of equations?