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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.
|Number of pages||43|
|Journal||International Journal for Numerical Methods in Engineering|
|Publication status||Published - 28 May 2010|
- finite element
- a posteriori error bounds
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.