On the Construction and Use of Two-Dimensional Wavelet-Like Basis Functions

Abstract

An alternative method for generating higher dimensional wavelet-like basis functions is proposed in this paper. One method that has been used was to derive the two-dimensional wavelet-like basis from the two-dimensional traditional finite element basis. However, in this paper, products of one-dimensional wavelet-like functions are used as two-dimensional wavelet-like basis functions. The generation of linear wavelet-like functions is discussed in detail and the use of linear and higher order wavelet-like functions is also investigated. The advantages and disadvantages of this technique for deriving wavelet-like basis functions will be discussed.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2003
Accession Number
ADP015059

Entities

People

  • Richard K. Gordon
  • W. Elliot Hutchcraft

Organizations

  • University of Mississippi

Tags

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Convergence
  • Demographic Cohorts
  • Differential Equations
  • Electrical Engineering
  • Engineering
  • Equations
  • Finite Element Analysis
  • Mississippi
  • Numerical Analysis
  • Partial Differential Equations
  • Technical Information Centers
  • Two Dimensional
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  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)