A simple error estimator and adaptive procedure for practical engineerng analysis

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<jats:title>Abstract</jats:title><jats:p>A new error estimator is presented which is not only reasonably accurate but whose evaluation is computationally so simple that it can be readily implemented in existing finite element codes.</jats:p><jats:p>The estimator allows the global energy norm error to be well estmated and alos gives a good evaluation of local errors. It can thus be combined with a full adaptive process of refinement or, more simply, provide guidance for mesh redesign which allows the user to obtain a desired accuracy with one or two trials.</jats:p><jats:p>When combined with an automatic mesh generator a very efficient guidance process to analysis is avaiable.</jats:p><jats:p>Estimates other than the energy norm have successfully been applied giving, for instance, a predetermined accuracy of stresses.</jats:p>

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