University of Illinois Urbana-Champaign

A critical evaluation of theresolution properties of b-spline and compact finite difference methods

Kwok, Wai Yip; Moser, Robert D.; Jimenez, Javier

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https://hdl.handle.net/2142/112635

Description

Title
A critical evaluation of theresolution properties of b-spline and compact finite difference methods
Author(s)
  • Kwok, Wai Yip
  • Moser, Robert D.
  • Jimenez, Javier
Issue Date
2000-02
Keyword(s)
  • Splines
  • Fourier Analysis
  • Uniform And Non-uniform Mesh/grid
Abstract
Resolution properties of B-spline and compact finite difference schemes are compared using Fourier analysis in periodic domains, and tests based on solution of the wave and heat equations in finite domains, with uniform and non-uniform grids. Results show that compact finite difference schemes have a higher convergence rate and in some cases better resolution. However, B-spline schemes have a more straightforward and robust formulation, particularly near boundaries on non-uniform meshes.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 926
  • 2000-6001
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112635
Sponsor(s)/Grant Number(s)
Air Force Office of Scientific Research
Copyright and License Information
Copyright 2000 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.