TY - JOUR
T1 - Realistic computable error bounds for three dimensional finite element analyses in linear elasticity
AU - Ainsworth, Mark
AU - Rankin, Richard Andrew Robert
PY - 2011/5
Y1 - 2011/5
N2 - We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions. We show that the estimator provides guaranteed upper bounds on the energy norm of the error as well as (up to a constant and data oscillation terms) local lower bounds.
AB - We obtain a computable estimator for the energy norm of the error in piecewise affine and piecewise quadratic finite element approximations of linear elasticity in three dimensions. We show that the estimator provides guaranteed upper bounds on the energy norm of the error as well as (up to a constant and data oscillation terms) local lower bounds.
KW - finite element
KW - elasticity
KW - computable error bounds
UR - http://www.scopus.com/inward/record.url?scp=79952709348&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2011.01.017
DO - 10.1016/j.cma.2011.01.017
M3 - Article
SN - 0045-7825
VL - 200
SP - 1909
EP - 1926
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 21-22
ER -