TY - JOUR
T1 - A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress
AU - Juntunen, Mika
AU - Lee, Jeonghun
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - error analysis
KW - finite element method
KW - Linear elasticity
KW - mesh-dependent norm
KW - rectangular element
KW - weakly symmetric stress
UR - http://www.scopus.com/inward/record.url?scp=84905900208&partnerID=8YFLogxK
U2 - 10.1142/S0218202514500171
DO - 10.1142/S0218202514500171
M3 - Article
VL - 24
SP - 2155
EP - 2169
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
SN - 0218-2025
IS - 11
ER -