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The finite element method is a popular method for approximating numerically on a computer the solution of partial differential equations. It is based on a variational (weak) formulation of the PDE, followed by discretization on a finite-dimensional ansatz space which reduces the problem to a sparse linear algebra one.

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How to solve Poissons equation using FEM with integral BC?

You must specify a function $g$ and a nonhomogeneous Neumann boundary condition of the type $\frac{\partial u}{\partial n} = g$ so that $g$ satisfies $\int_{E_l} \sigma g \,d\mathrm{A} = I_l$. Otherwi …
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