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

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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.

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Hunnell, Jason C. May 2002.

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This thesis is part of the collection entitled: UNT Student Graduate Works and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 391 times , with 9 in the last month . More information about this thesis can be viewed below.

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  • Hunnell, Jason C.

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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.

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UNT Student Graduate Works

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  • May 2002

Added to The UNT Digital Library

  • Sept. 26, 2007, 2:06 a.m.

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  • March 21, 2016, 4:11 p.m.

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Citations, Rights, Re-Use

Hunnell, Jason C. Application of the Finite Element Method to Some Simple Systems in One and Two Dimensions., thesis, May 2002; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc3087/: accessed May 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .