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Application of the finite element method to some simple systems in one and two dimensions.
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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
Permallink:digital.library.unt.edu/ark:/67531/metadc3087/