The figures refer to the model problem
This is Laplace's equation on the unit square.
The Dirichlet boundary values are chosen identical to 0 on the south, west, and north boundary. The east boundary function is chosen as
The true solution then becomes
This problem is discretized by five point difference stencils.
Ulrich Ruede , Thu Feb 2 21:05:00 MEZ 1995
Updated by Craig C. Douglas