Conforming mixed triangular prism elements for the linear elasticity problem

Jun Hu, Rui Ma

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We propose a family of conforming mixed triangular prism finite elements for solving the classical Hellinger-Reissner mixed problem of the linear elasticity equations in three dimensions. These elements are constructed by product of elements on triangular meshes and elements in one dimension. The well-posedness is established for all elements with k ≥ 1, which are of k+1 order convergence for both the stress and displacement. Besides, a family of reduced stress spaces is proposed by dropping the degrees of polynomial functions associated with faces. As a result, the lowest order conforming mixed triangular prism element has 93 plus 33 degrees of freedom on each element.

Original languageEnglish
Pages (from-to)228-242
Number of pages15
JournalInternational Journal of Numerical Analysis and Modeling
Volume15
Issue number1
Publication statusPublished - 2018
Externally publishedYes

Keywords

  • Linear elasticity
  • Mixed finite element
  • Triangular prism element

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Hu, J., & Ma, R. (2018). Conforming mixed triangular prism elements for the linear elasticity problem. International Journal of Numerical Analysis and Modeling, 15(1), 228-242.