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We will again discretize our domain , but now we have a cubical mesh. For a positive integer, N, we imagine 3D grid points in

We will again discretize our domain , but now we have a cubical mesh. For a positive integer, N, we imagine 3D grid points in our cube spaced h = 1 N 1 units apart in all directions. There are now N3 interior points. u is assumed to vanish at the boundary points (u| = 0), and we wish to use techniques from the class to estimate the output of u at each of our interior points

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