3 grid points)
the problem has only one (inner) unknown left, all others are
Dirichlet boundary values.
Therefore a single sweep of
the Gauß-Seidel method
will act as an exact solver.
The result is
Workbench home page | About the workbench | Multigrid algorithm library | German Scientific Computing
On the coarsest level (with 3 3 grid points)
the problem has only one (inner) unknown left, all others are
Dirichlet boundary values.
Therefore a single sweep of
the Gauß-Seidel method
will act as an exact solver.
The result is
This solution is interpolated and combined with the result of the previous smoother on the next finer level and becomes a correction for the still finer grid problems.
Ulrich Ruede , Thu Feb 2 21:04:39 MEZ 1995
Updated by Craig C. Douglas