Poisson Equation on a Circular Membrane

ρ

Θ

maximum g

This Demonstration shows the static response (Green's function) of a circular thin membrane to a force applied at a point on the membrane. The boundary is held to zero displacement (Dirichlet boundary condition). The source point is controlled by the

ρ

(radius) and

Θ

(angle) sliders. The scaling of the response is controlled by the "maximum

g

" slider that controls the response value, which coincides with the top of the viewing box. If the response exceeds this value, it is clipped at the top.