A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress

Research output: Contribution to journalArticleScientificpeer-review

Researchers

  • Mika Juntunen
  • Jeonghun Lee

Research units

Abstract

We consider mixed finite elements for linear elasticity with weakly symmetric stress. We propose a low-order three-dimensional rectangular element with optimal O(h) rate of convergence for all the unknowns. The element is a rectangular analogue of the simplified Arnold-Falk-Winther element. Instead of the elasticity complex approach, our stability analysis is based on new mesh-dependent norms.

Details

Original languageEnglish
Pages (from-to)2155-2169
Number of pages15
JournalMathematical Models and Methods in Applied Sciences
Volume24
Issue number11
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

    Research areas

  • error analysis, finite element method, Linear elasticity, mesh-dependent norm, rectangular element, weakly symmetric stress

ID: 9544820