Legendre spectral element method with nearly incompressible materials

Y. T. Peet, P. F. Fischer

Research output: Contribution to journalArticlepeer-review


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
StatePublished - 2014
Externally publishedYes


  • Nearly incompressible materials
  • Poisson locking
  • Spectral element method

ASJC Scopus subject areas

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


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