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Hi

Consider Poisson equation with Neumann boundary condition but the right hand side of boundary condition is in term of the unknown function $u$. How we can solve it?

$\Delta u(x) = f(x)\quad in~ \Omega$

$\frac{\partial u(x)}{\partial n }=g(u(x))\quad on~\partial \Omega$

where n is outward normal vector.

For special case let $g=\sqrt u$.

3 fixed typos.

# Poisson equation with special NewmanNeumann BC

Hi

Consider Poisson equation with Neumann boundary Newman condition but the right hand side of boundary condition is in term of the unknown function u ,i.e, non constant. $u$. How we can solve it?

$\Delta u(x) = f(x)\quad in~ \Omega$

$\frac{\partial u(x)}{\partial n }=g(u(x))\quad on~\partial \Omega$

where n is outward normal vector.

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