Solve Poisson's equation $C=\nabla^2 v$ where $C$ is a constant and $v$ my variable

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I want to solve Poissons equation $$ C=\nabla^2 v $$ where $C$ is a constant and $v$ my variable.

I want to solve over some 2D domain $D$ with the boundary condition that $v$ is zero on the edge.

How does one solve this numerically?