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Mixed hp-finite element method for linear elasticity with weakly imposed symmetry: Stability analysis

Weifeng Qiu, Leszek Demkowicz

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

Abstract

The paper presents a generalization of Arnold-Falk-Winther elements for linear elasticity to meshes with elements of variable order. The generalization is straightforward but the stability analysis involves a nontrivial modification of involved interpolation operators. The analysis addresses only the h-convergence. In addition, numerical experiments for two dimensional cases are provided. Copyright © 2011 Society for Industrial and Applied Mathematics.
Original languageEnglish
Pages (from-to)619-641
JournalSIAM Journal on Numerical Analysis
Volume49
Issue number2
DOIs
Publication statusPublished - 2011
Externally publishedYes

Research Keywords

  • Elasticity
  • Hp elements
  • Mixed formulation

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