Info: Laplace Equation

From SIMION

The Laplace equation calculates the potentials inside some volume of space given only the potentials on a boundary surface of that volume (e.g. voltages on the surfaces of electrodes). SIMION's "Refine" function solves the Laplace equation.

The Laplace equation is

The Laplace equation is a special case of the Poisson equation in which zero space-charge is assumed:

See also:

• First Uniqueness Theorem