Abstract
A new concept of a posteriori error estimation is discussed. The developed error estimator uses the recovery procedure which determines the nodal stresses from the finite-element method solution. The proposed concept is based on the variation of mapping functions and the error distribution. Taking variation of the error energy about mapping function, the relation of error energy distribution is deduced. The relation of the error between the connected elements is used to estimate the traction resultant at the element interfaces. The relations between the traction resultants couple the nodal stresses on the entire problem domain. In the present research, in order to compute the nodal stresses locally, the superconvergent patch recovery is incorporated with the traction relations. The applications to some familiar benchmark problems show the effectiveness of the new concept.
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