Homework Statement
I need to (computationally) solve the following linear elliptic problem for the function u(x,y):
\Delta u(x,y) = u_{x,x} + u_{y,y} = k u(x,y)
on the domain
\Omega = [0,1]\times[0,1] with u(x,y) = 1 at all points on the boundary.Homework Equations
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I know that I...