Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2767

Full Length Research Paper

Interval study of convergence in the solution of 1D Burgers by least squares finite element method (LSFEM) + Newton linearization

Barbara Fernanda Soares de Oliveira e Silva
  • Barbara Fernanda Soares de Oliveira e Silva
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Roberta Veloso Garcia
  • Roberta Veloso Garcia
  • Department of Basic and Environmental Sciences, Engineering School at Lorena, University of São Paulo, Brazil.
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Paula Cristiane Pinto Mesquita Pardal
  • Paula Cristiane Pinto Mesquita Pardal
  • Department of Basic and Environmental Sciences, Engineering School at Lorena, University of São Paulo, Brazil.
  • Google Scholar
Estaner Claro Romao


  •  Received: 03 August 2015
  •  Accepted: 14 August 2015
  •  Published: 30 August 2015

Abstract

This paper aims to apply the least squares finite element method (LSFEM) in conjunction with the linearization technique known as Newton method. For this, the application chosen was the traditional 1D Burgers equation. From two numerical applications and an error analysis based on knowledge of the exact solution, will be possible to present convergence ranges for this proposal.
 
Key words: Least squares finite element method (LSFEM), Burgers equation, Newton method, convergence range.