Laplace equation not provided in simulation

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Ren_Hoek
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I'm following this tutorial
I noticed that he provided the boundary values in FEMM but he didn't provide the Laplace equation ##\dfrac{\partial^2 V}{\partial x^2} + \dfrac{\partial^2 V}{\partial y^2} = 0## for the field but it is still corrected simulated?
or is it not necessary to provide it at all?
 
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See at 10:51ff: "The next step is to specify the physics [ie. tell it what PDE to solve]. That actually was our first step, when we created the design, we created the magnetostatic problem [at 3:26 in the first video of the series]."

The user manual for FEMM magnetics is here.
 
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