Application of the Finite Element Method to Some Simple Systems in One and Two Dimensions. Metadata

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  • Main Title Application of the Finite Element Method to Some Simple Systems in One and Two Dimensions.


  • Author: Hunnell, Jason C.
    Creator Type: Personal


  • Chair: Quintanilla, Sandra J.
    Contributor Type: Personal
    Contributor Info: Major Professor
  • Committee Member: Deering, William D.
    Contributor Type: Personal
  • Committee Member: Ordonez, Carlos A.
    Contributor Type: Personal


  • Name: University of North Texas
    Place of Publication: Denton, Texas


  • Creation: 2002-05
  • Digitized: 2007-07-27


  • English


  • Content 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.


  • Keyword: finite element
  • Keyword: eigenproblem
  • Keyword: object-oriented
  • Keyword: quantum mechanical
  • Keyword: harmonic oscillator


  • Name: UNT Student Graduate Works
    Code: UNTGW


  • Name: UNT Libraries
    Code: UNT


  • Rights Access: public
  • Rights License: copyright
  • Rights Holder: Hunnell, Jason C.
  • Rights Statement: Copyright is held by the author, unless otherwise noted. All rights reserved.

Resource Type

  • Thesis or Dissertation


  • Text


  • Archival Resource Key: ark:/67531/metadc3087


  • Degree Name: Master of Science
  • Degree Level: Master's
  • Degree Discipline: Physics
  • Academic Department: Department of Physics
  • Degree Grantor: University of North Texas


  • Display Note: Problem in Lieu of Thesis