Projects per year
Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 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 |
Keywords
- finite element
- elasticity
- a posteriori error bounds
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Projects
- 1 Finished
ADAPTIVE NUMERICAL METHODS FOR OPTOELECTRONIC DEVICES PFACT 69
Ainsworth, M., Mottram, N. & Ramage, A.
EPSRC (Engineering and Physical Sciences Research Council)
2/04/07 → 30/11/10
Project: Research
Cite this
Ainsworth, M., & Rankin, R. (2010). Guaranteed computable error bounds for conforming and nonconforming finite element analyses in planar elasticity. International Journal for Numerical Methods in Engineering, 82(9), 1114-1157.