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 |
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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
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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