Legendre spectral element method with nearly incompressible materials

Yulia Peet, P. F. Fischer

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We investigate convergence behavior of a spectral element method based on Legendre polynomial shape functions solving linear elasticity equations for a range of Poisson's ratios of a material. We document uniform convergence rates independent of Poisson's ratio for a wide class of problems with both straight and curved elements in two and three dimensions, demonstrating locking-free properties of the spectral element method with nearly incompressible materials. We investigate computational efficiency of the current method without a preconditioner and with a simple mass-matrix preconditioner, however no attempt to optimize a choice of a preconditioner was made.

Original languageEnglish (US)
Pages (from-to)91-103
Number of pages13
JournalEuropean Journal of Mechanics, A/Solids
Volume44
DOIs
StatePublished - 2014

Fingerprint

Spectral Element Method
Poisson ratio
Legendre
Preconditioner
Poisson's Ratio
shape functions
Legendre functions
Computational efficiency
locking
Locking-free
Elasticity
elastic properties
Legendre polynomial
Linear Elasticity
Polynomials
Shape Function
Uniform convergence
Polynomial function
Computational Efficiency
Straight

Keywords

  • Nearly incompressible materials
  • Poisson locking
  • Spectral element method

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Materials Science(all)
  • Mathematical Physics

Cite this

Legendre spectral element method with nearly incompressible materials. / Peet, Yulia; Fischer, P. F.

In: European Journal of Mechanics, A/Solids, Vol. 44, 2014, p. 91-103.

Research output: Contribution to journalArticle

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