Application of the finite element method to some simple systems in one and two dimensions.

Application of the finite element method to some simple systems in one and two dimensions.

Date: May 2002
Creator: Hunnell, Jason C.
Description: The finite element method (FEM) is reviewed and applied to the one-dimensional eigensystems of the isotropic harmonic oscillator, finite well, infinite well and radial hydrogen atom, and the two-dimensional eigensystems of the isotropic harmonic oscillator and the propagational modes of sound in a rectangular cavity. Computer codes that I developed were introduced and utilized to find accurate results for the FEM eigensolutions. One of the computer codes was modified and applied to the one-dimensional unbound quantum mechanical system of a square barrier potential and also provided accurate results.
Contributing Partner: UNT Libraries