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I am trying to build a 3D Poisson solver using method of moments. I need to find out the Green's function for the system. My system is a rectangular box and boundary conditions are as follows:

On all surfaces BC is neumann.

Only on the upper and lower surface, the middle 1/3 region has dirichlet BC. the other two 1/3 regions on both side of it are also neumann.

I am really stuck on how to calculate the Green's function. The equation for Green's function is so simple (Del)^{2}G = delta(r-r')

But I can't incorporate the BCs. Please help!!!!

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# Green's function for Poisson equation in a box with both mixed boundary conditions

Can you offer guidance or do you also need help?

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