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I am implementing finite difference scheme for the simple 2D Laplace
equation. I am facing problem in imposing boundary conditions in 9-point
stencil. What boundary conditions should I give at the vertex i.e. at
the corner where two boundaries intersect.
e.g.- For square plate what should be boundary condition at four vertices?
What should be the boundary condition at vertices in Dirichlet problem?either homogeneous or non-homogeneous?
Please help in this regard.