A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress
Research output: Contribution to journal › Article › Scientific › peer-review
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.
|Number of pages||15|
|Journal||Mathematical Models and Methods in Applied Sciences|
|Publication status||Published - 2014|
|MoE publication type||A1 Journal article-refereed|
- error analysis, finite element method, Linear elasticity, mesh-dependent norm, rectangular element, weakly symmetric stress