Abstract
| Language | English |
|---|---|
| Pages | 1114-1157 |
| Number of pages | 43 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 82 |
| Issue number | 9 |
| Publication status | Published - 28 May 2010 |
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Keywords
- finite element
- elasticity
- a posteriori error bounds
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Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity. / Ainsworth, Mark; Rankin, R.
In: International Journal for Numerical Methods in Engineering, Vol. 82, No. 9, 28.05.2010, p. 1114-1157.Research output: Contribution to journal › Article
TY - JOUR
T1 - Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity
AU - Ainsworth, Mark
AU - Rankin, R.
PY - 2010/5/28
Y1 - 2010/5/28
N2 - We obtain fully computable a posteriori error estimators for the energy norm of the error in second-order conforming and nonconforming finite element approximations in planar elasticity. These estimators are completely free of unknown constants and give a guaranteed numerical upper bound on the norm of the error. The estimators are shown to also provide local lower bounds, up to a constant and higher-order data oscillation terms. Numerical examples are presented illustrating the theory and confirming the effectiveness of the estimator.
AB - We obtain fully computable a posteriori error estimators for the energy norm of the error in second-order conforming and nonconforming finite element approximations in planar elasticity. These estimators are completely free of unknown constants and give a guaranteed numerical upper bound on the norm of the error. The estimators are shown to also provide local lower bounds, up to a constant and higher-order data oscillation terms. Numerical examples are presented illustrating the theory and confirming the effectiveness of the estimator.
KW - finite element
KW - elasticity
KW - a posteriori error bounds
UR - http://onlinelibrary.wiley.com/doi/10.1002/nme.2799/abstract
UR - http://dx.doi.org/10.1002/nme.2799
M3 - Article
VL - 82
SP - 1114
EP - 1157
JO - International Journal for Numerical Methods in Engineering
T2 - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 9
ER -