Skip to Main Content
This chapter provides a brief discussion of the method of moments (MoM) and the finite difference (FD) and finite element (FE) methods. These methods are approaches to solving for the electrostatic variables charge and voltage in a given geometric structure of electrodes and possibly dielectric interfaces. They are all based on developing a set of linear algebraic equations that approximate continuous variables with approximate locally defined variables. The FD method is derived from numerical approximations of Laplace's equation, and only the voltages at the corners of rectangular cells are defined. The FE method is derived from formal integral approximation techniques, and the voltage is defined throughout the cell. In both cases each cell communicates only with cells that share nodes. In the MoM method, calculating the coefficients was not trivial; however, in the FE and FD methods calculating the coefficients is easy.