Most indicators used for automatic grid refinement are suboptimal, in the sense that they do not really minimize the global solution error. This presentation will concern a new indicator, related to the sensitivity map of global stability problems, suitable for an optimal grid refinement that minimizes the global solution error. The new criterion is derived from the properties of the adjoint operator and provides a map of the sensitivity of the global error (or its estimate) to a local mesh refinement.
Error Sensitivity to Refinement: an optimal criterion for adaptive grid refinement
LUCHINI, Paolo;GIANNETTI, Flavio;CITRO, VINCENZO
2015-01-01
Abstract
Most indicators used for automatic grid refinement are suboptimal, in the sense that they do not really minimize the global solution error. This presentation will concern a new indicator, related to the sensitivity map of global stability problems, suitable for an optimal grid refinement that minimizes the global solution error. The new criterion is derived from the properties of the adjoint operator and provides a map of the sensitivity of the global error (or its estimate) to a local mesh refinement.File in questo prodotto:
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